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'Edaܯx%DŽW1懗ۦz)Q*Լ2fsF NbH⢰_ v+,w &WWAĞC "“pn ֓^uVw3h@|4MjX$'eTܗDz=&!ercZ#X]?LĪRb Q^SBAdS4E<(GG뀞j:/KҪa2>YZ盏IP΁,V)qV%auDv|O?!DqYTfH5!w 2ww#{9l|0 HHuc1t7a{cܓ&io2rX(Fr,^e.A?b\}$lAy4`~O!/b#FX7p1go *e4|0L\ l^<9o@ @'GD7l5x%>ȢԲ!2mľbð5|ݔhxfJbd<\ -S/$crW8~%\MCǀ[!eتdp #D(a=\T~wVid2})?Sk9)]ݫ:ha /[nOY\X6A&V rjpO=4l+~Â*`\}G%Հjo =$5weZҞR=YB9N9: ȞE}oOZi^jYQXLLεJz/8!?O]B2M ^twܑ\Dm)R+\A.VgrSyFzsP/*_:o6#4mJZ%B'sNr]b2o5 ?I<VWkȆ;(nQ&T89'je!|ҚZ"(#'2> !3l#¨ۺ.ܙk2¨.ⰿ+*Vw"&ިѦ2\5&Ǚ|ZH|b&i n\y؃T;@Ik ^fmUԓҹal S_)QC5źvQ?kgذ &gA>loX'45Vc Ań-nyN@ ?jkM,AIԑ Jou(UpztynρW$s ĸjś+Q鸂U{2R${\nz@C%FaJ}^1^hd-lG1pc|Å5T?ң-3yP2b[5QzHf +Q!C!1[]_t5AY~DO(_,=d"LjV=_NJٶW!MUJCix~g,h&endstream endobj 511 0 obj <> endobj 512 0 obj [ 790 ] endobj 513 0 obj <> endobj 514 0 obj <>stream %!PS-AdobeFont-1.0: t1-gul-symbol 001.000 %%Title: t1-gul-symbol %Version: 001.000 %%CreationDate: Mon May 12 14:48:11 2008 %%Creator: CV Radhakrishnan,,, %Copyright: Created by CV Radhakrishnan,,, with FontForge 2.0 %Copyright: (http://fontforge.sf.net) % 2008-5-12: Created. % Generated by FontForge 20070607 (http://fontforge.sf.net/) %%EndComments FontDirectory/t1-gul-symbol known{/t1-gul-symbol findfont dup/UniqueID known{dup /UniqueID get 4083185 eq exch/FontType get 1 eq and}{pop false}ifelse {save true}{false}ifelse}{false}ifelse 12 dict begin /FontType 1 def /FontMatrix [0.001 0 0 0.001 0 0 ]readonly def /FontName /HWNAVD+t1-gul-symbol def /FontBBox {5 -213 895 789 }readonly def /UniqueID 4083185 def /XUID [1021 992 867865827 11599217] def /PaintType 0 def /FontInfo 9 dict dup begin /version (001.000) readonly def /Notice (Created by CV Radhakrishnan,,, with FontForge 2.0 \050http://fontforge.sf.net\051) readonly def /FullName (t1-gul-symbol) readonly def /FamilyName (t1) readonly def /Weight (Medium) readonly def /ItalicAngle 0 def /isFixedPitch false def /UnderlinePosition -100 def /UnderlineThickness 50 def end readonly def /Encoding 256 array 0 1 255 {1 index exch /.notdef put} for dup 39 /copyright put readonly def currentdict end currentfile eexec oc;jAw-6n}H#vݟ~Lڎko:FVvixؕBv0_ dĮ&8`}-AʌOǦ\Q]&8~a0[V2v)}H6p4aDPf0?IGrq㋒nDJ,52 HEh M/Z1hR 3 |/AF>"6y<^;CNJ idjITR⏢Ɂw'ƺVTqرޡc%C TQIC:/*nX̅M}1ba) /h6A!7\PG|~zh~8^8s!BMYI:ꓩua!7h*){7sw2zI۳V,DK-yp~ONi8&ǁHkZr!U-UlM2U6cN=h",Η`%-9 5DpHa>-YÜbh@@XfY|M#X žendstream endobj 515 0 obj <> endobj 516 0 obj [ 827 571 564 502 430 437 430 520 440 300 492 547 686 472 426 600 545 534 433 554 577 588 704 655 452 590 834 547 524 562 1043 1043 1043 1043 319 319 373 373 642 804 802 796 762 832 762 740 794 767 275 331 780 470 780 472 458 ] endobj 517 0 obj <> endobj 518 0 obj <>stream %!PS-AdobeFont-1.1: RMTMI 1.1 %%CreationDate: 1993 May 10 16:52:31 % Copyright (c) 1992, 1993 The TeXplorators Corporation % Hinting Copyright (c) 1992, 1993 Y&Y, Inc. % MathTime is a trademark of The TeXplorators Corporation 11 dict begin /FontInfo 9 dict dup begin /version (1.1) readonly def /Notice (Copyright (C) 1992, 1993 The TeXplorators Corporation. Hinting (c) 1992, 1993 Y&Y, Inc. (508) 371-3286. All Rights Reserved.) readonly def /FullName (RMTMI) readonly def /FamilyName (MathTime) readonly def /Weight (Medium) readonly def /ItalicAngle -14.036 def /isFixedPitch false def /UnderlinePosition -100 def /UnderlineThickness 50 def end readonly def /FontName /KVYMWI+RMTMI def /PaintType 0 def /FontType 1 def /FontMatrix [0.001 0 0 0.001 0 0] readonly def /Encoding 256 array 0 1 255 {1 index exch /.notdef put} for dup 10 /Omega put dup 12 /beta put dup 59 /comma put dup 15 /epsilon1 put dup 17 /eta put dup 62 /greater put dup 21 /lambda put dup 60 /less put dup 22 /mu put dup 33 /omega put dup 46 /parenleft put dup 47 /parenright put dup 64 /partialdiff put dup 58 /period put dup 30 /phi put dup 32 /psi put dup 27 /sigma put dup 61 /slash put dup 18 /theta put readonly def /FontBBox{0 -213 987 680}readonly def currentdict end currentfile eexec oc;j~EЪ+`U+1;[ihHlgtR@nk{#Y~gJ[. DI~ْ+%hapYz;3NO_O:Vп}KBhIϮԬ";eiwzVcW;I0a1]j"4[{ErGT1QeG0 Vw ߚOҎN'·4b>T(4^mѨnV8Bo8cpWTC 6j'-б^3;ZSd_ v9(+2Op?.BXsޝo!.Y([J$~8g@/Y.Y+S$C9S= iYRu |íPq.`1)KB/к!xYJK8,2(ŝ]#BEQw5,Ge2u fPQ6PnhH~l 棉l|6Ҿj;D鿂 "zGN8fYC8#SfMr =XZ2MIHv@}`6)ta}Y7Ϳ47_75Ww ^6u$; ӕcYfg_2ƨ4}ȱG}THl=YUX 3y-kHj7έD,3>w(=?vez#]2+P)pvQ?H5 8obX/k0cv{ǯb=^>ܳҰہǠԿ8=Ӷ텿>>$9fyՇᑡFb]5ͳ:#lհ4գҜɳ@?7<sil&0VliHUFD4'0AQsf#1s0i1o_hbQ" T*q(+}Z튰y<[ѲA'@k-%$W~a8WĸTbݢ6'zhrZ.dxڭˇ^_GR+:GhYqM,sw|$A-Z k9t^FMJ5HZ(% l$cCIb" )8 iL8R)mDTZ)TQ&_=*3 AsΟi@ BY՝ET)/xEgze.>!5 vKiQ ^Ǥm/|3c3 ?Xʆ<5,"CJ(Hy tu&ފ¾{УԵTne+:BH+ȂmjLbe}x0BccuRv'96D,oUjќTD rj( ( jmC ӿ NA-ogP)Y6uɯ!|Zjz&l[bλ3/)C(Qkݦnb'#1|1,% 4"Jo,ut>T<7 IYb6CV:ź,V&sza⅟q&nh+W+?=i4ݷ[b>I!I{oAvB'k9n܇K8""[FN€%WOՂJI3vj2a3m =.Y./6ZmK%O瘹QM{4TkY<={3@aahUqޥ4GlfV!0뮕iث xm|[P, x0nh])8α'RB%}EhaUFJl:?HH?uO^ۍB9Âwv }r%iga8k)n0OJ;]t[BU$7 UZr~2L0v$e䅗[I | msj>`#o8Z[-ɸoxz|DmOVmSZ[}ꢜCaָ{)׸ æqYZ 7UOYQlx 7ґ_˜ϪEb/ XDGi"=^Ջ]Bog(ȱyi)] >6#$l" ~YՂF] *״OlYs{UL^v#r>d'z#9h]> w 鑗a4wב59LAޘQP3|e ^=HXTlJ)n`Rd5-ӱ pP>,e#*p쾱9ѱa'+0Č2?6~*z)vl땛uԳ;#ߏ;.ɰW20Vw=?< gPʧHB?M-ш+- j.P;)H`jLUbx'a*mOnmϳa GN0LettPYi+Ϭ=wtJ1˓,m* I^E֬B襍PlC=S-:˺,Л!6 ck暎Ԧ[7NJU3 =KJfLQyL(xG+ RrTp.pl:_ #BD6ɂj$9F3ϡzIZgs_cK'uƣĆh]d:G`aHp9*8=nr/߈}-,P9J/46mZSD;CIuj 5\5O֪)LNw%x[b~nendstream endobj 519 0 obj <> endobj 520 0 obj [ 579 820 0 985 299 306 666 624 619 940 940 1000 456 428 685 525 623 695 234 370 369 420 549 234 411 235 352 579 579 579 579 579 579 579 579 579 579 352 352 549 549 549 538 784 660 604 602 717 564 509 704 746 310 312 648 499 934 737 716 564 716 618 526 558 716 664 1042 668 618 565 361 352 361 549 500 235 518 579 479 595 526 333 542 606 300 306 556 299 927 606 567 598 586 410 446 373 601 542 859 555 548 499 408 290 408 532 411 660 660 602 602 717 564 564 704 499 499 499 737 737 0 716 618 618 526 525 526 558 558 716 716 618 565 565 565 622 310 595 530 518 518 479 479 606 526 526 542 299 299 299 606 606 0 567 410 410 446 438 446 373 373 601 601 548 499 489 499 606 456 538 564 660 660 660 660 660 660 810 602 564 564 564 564 310 310 310 310 717 735 716 716 716 716 716 958 716 716 716 716 716 618 564 0 523 523 523 523 523 523 804 479 526 526 526 526 299 299 299 299 562 616 567 567 567 567 567 897 567 611 611 611 611 ] endobj 521 0 obj <> endobj 522 0 obj <>stream %!PS-AdobeFont-1.0: t1-gul-regular 001.001 %%Title: t1-gul-regular %Version: 001.001 %%CreationDate: Mon May 26 10:28:22 2008 %%Creator: CV Radhakrishnan,,, %Copyright: Gulliver, Giant amongst Dwarfs. %Copyright: This typeface offers excellent readability at very small %Copyright: sizes. %Copyright: %Copyright: The digitally encoded machine readable outline data for %Copyright: producing the typefaces licensed to you is copyrighted (c), %Copyright: 1994, 2005 by and the property of Gerard Unger. % Generated by FontForge 20070607 (http://fontforge.sf.net/) %%EndComments FontDirectory/t1-gul-regular known{/t1-gul-regular findfont dup/UniqueID known{dup /UniqueID get 4179227 eq exch/FontType get 1 eq and}{pop false}ifelse {save true}{false}ifelse}{false}ifelse 12 dict begin /FontType 1 def /FontMatrix [0.001 0 0 0.001 0 0 ]readonly def /FontName /YGXQWH+t1-gul-regular def /FontBBox {-115 -321 1042 1054 }readonly def /UniqueID 4179227 def /XUID [1021 938 1479029120 7154960] def /PaintType 0 def /FontInfo 11 dict dup begin /version (001.001) readonly def /Notice (Gulliver, Giant amongst Dwarfs.\012This typeface offers excellent readability at very small sizes.\012\012The digitally encoded machine readable outline data for producing the typefaces licensed to you is copyrighted \050c\051, 1994, 2005 by and the property of Gerard Unger.) readonly def % Gulliver, Giant amongst Dwarfs. % This typeface offers excellent readability at very small sizes. % % The digitally encoded machine readable outline data for producing the typefaces licensed to you is copyrighted (c), 1994, 2005 by and the property of Gerard Unger. /FullName (Gulliver) readonly def /FamilyName (Gulliver) readonly def /Weight (Regular) readonly def /FSType 4 def /ItalicAngle 0 def /isFixedPitch false def /UnderlinePosition -75 def /UnderlineThickness 50 def /ascent 789 def end readonly def /Encoding 256 array 0 1 255 {1 index exch /.notdef put} for dup 65 /A put dup 66 /B put dup 67 /C put dup 68 /D put dup 69 /E put dup 70 /F put dup 71 /G put dup 72 /H put dup 73 /I put dup 74 /J put dup 75 /K put dup 76 /L put dup 77 /M put dup 78 /N put dup 79 /O put dup 80 /P put dup 82 /R put dup 83 /S put dup 84 /T put dup 85 /U put dup 86 /V put dup 87 /W put dup 89 /Y put dup 90 /Z put dup 97 /a put dup 126 /asciitilde put dup 64 /at put dup 98 /b put dup 91 /bracketleft put dup 93 /bracketright put dup 99 /c put dup 58 /colon put dup 44 /comma put dup 100 /d put dup 36 /dollar put dup 101 /e put dup 56 /eight put dup 21 /endash put dup 102 /f put dup 53 /five put dup 52 /four put dup 103 /g put dup 104 /h put dup 45 /hyphen put dup 105 /i put dup 106 /j put dup 107 /k put dup 108 /l put dup 109 /m put dup 110 /n put dup 57 /nine put dup 111 /o put dup 246 /odieresis put dup 49 /one put dup 112 /p put dup 40 /parenleft put dup 41 /parenright put dup 37 /percent put dup 46 /period put dup 113 /q put dup 39 /quoteright put dup 114 /r put dup 115 /s put dup 59 /semicolon put dup 55 /seven put dup 54 /six put dup 47 /slash put dup 116 /t put dup 51 /three put dup 50 /two put dup 117 /u put dup 252 /udieresis put dup 118 /v put dup 119 /w put dup 120 /x put dup 121 /y put dup 122 /z put dup 48 /zero put readonly def currentdict end currentfile eexec oc;jAw-36Uu4 l.Nk48DPh>[7ɰ9..CSoZqO O)9OHl~Q:ɾD0j J'JZ `B 5ԆG tbY7:Ϳ2hK@,'$Qr[sLe{rr<8cnk}cn6 Uv| H|uO!nqR?+dM$2@G1ȅ +*E|X8$plB%jgcײt[&'%LiP ϕ%)}M{[&tת_ǔ@2ޓg: 3%=zB,|1.bld-72| PiMf,wYjnNP˺=Ks 5x7?3LZ h 끧7W*؀WӍte}چStG:\4N=-}LKS[S3= F5',=MXp$U.6}Gi0?@pKRˮ9ZT^OtiABZ"qbv!s+ywZ&Oxn(A65o^Oj;De0C|[ i-p&?Sw )i\z߮Q1prHrB/uƣ-EWP\i{PSBnܘH>F*# qFCG!Mc{ugҞQKXeŬhCg70{pƍO8~ulAK}世h!ߚȍ x;$niz;w*㭾˅l}U^4<vo je絡O=x=fd0ÜGC?,zo}vzo- 8s(Mjuyҫ2ʛC=*w)8n n oȽU?&DB0nvgCE*;dՂUK)4=uM27PclXxXk޹ai [i߀D) >%eYd> Vbs<2{LY)PY@gdBY-[ %m7C;\T7j1`k-BU"3Ȋ&!F#| J-IbPd7k USzE *}bBu~P6 l/✸q]T;o:_lLE?/3^Ǧb5ҹ4pHΏ",K$FBYjp1?/0ůxi'`ؕNm4xuQڷ\C%֣ Z?dΩNm {xUҒ\`d/cP@m];[mTƚQQM6H_H>nH߲BK|Zu߶0/zmHaE d2 }R.<>o1k?yK$\yɽQ NjӪo$ɇ z (H* Q]֮]Kj_8"1#9Ҩ6$8 MNiT?Z+us8_5 _Ɠ@ӸнZ5[O]\go_Z H$|0H=kO$eo=aDEG`+h6vnRL4Y$+|_q\sjvp?'s*uV2&7ƦZZ^(Ҧ4 cL$dGTYg˄P4TB }Rǀot%bJsnFa5* -b ,]$;7>FAMk,gƗVI wZjs#w<F$0ZfCUPlU=1LxQÎKp-`ޣvv!$p%he.ݨRG*c5}Zf_ Lxl~L0]j"ĻLKx̮@ˢep0Cɧ\H#v@Gg'ՌE[\52)V9"I=!oVxW-p@9];uKBUރ9\Q%xh%5uTt-`1v^?v MYuOeWP}K >n3H48xn[D,NBႂ^7J~ޗ@mg l}{sm@a1Yzx܎V0Ut,>\"ݍwoHG<~/ |b4_T4Cs5W&G=BWfv80Bc('D$AU@VdF-jZh9*ohDsq7 1+oaQ 60>Yf0#K"cj%0c1"\@>=w%% | $!Wꐕ ^t)8Py#V b7Sq2ɚ̰>P j11ZNl[N~ՓJNlth8dqsq{H7A=.ry9 F^ @ejh*ؖߨI(U6s$)LE*>jnً݃,x66@H¥+1 :jb*j^Đޥކk_륪wqux\jLFzo[?Q3#5G$ߢacmKlF5|T. 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W]ׇ74+PUӺ0It8)bQP 5D|/$3rL#`A.z?x׼ /HEFH֢;fx<kj}0|&ȴV08 G|u['xɨVfqOMW3s]3 l"40ꃴ~?ϯJq+. {Ɠebr9"r+>FrQcg"ˤo]CCEO3_)# _|0#yJkhK'e mIhC Rt?~4Jan'Y#+l9eЅ?Ym`{EL 7rCghX9'T>dhM:O5'<7kZ̪QŎOaVx65lpz|睻sEfOа6T+q &LX'r^zB"dlRB*80Ln}}^;@(vHġ*a Ī6c XtI2I: (ӌz|ؙ y#M9kF,^jym5{x-{'-4QȌgMS'@!R'b5;Vڽ7y\F'7=H= ڎ=rN/6)B4KX% tw!-w[dEgo&K{Ⱦ]M| ^{sd{pa6K{TsJ8nUXoΉfNNmok9H8G;"eo{syFRQyȗ>#,RYo4 j͑X31O1| ~f c}4.:E"׶ǃ==YY~L\Amb7^g4_MFayjh .\9=R3nXAڞ(eWK#Sm2kD Z෤jyDV ?"Nh=Zv~C82x%.gTI6>~ ^lA*2*)MĮ)ӗA9a]zEO(bz|KyN1] Vc)_[JM`Cni>7"ѳDz<0B-dff檥K„$hJ+6ҦeOg} $0G22wYd4$ivq`T'ac[*Hf⊒@[B\H6;Sʙ>6SC \rdoKaM#sx=M-)8qUb#!T8O?JIy`jb[' ʬtu@*S#9m3T@D;AmhR54n`@26L n5 |L5~,Ds8nE;NI<7{u"o”)K fR%fFA,5 K, ) PZ9prblήWoh#WWAS5:?W<68`{zGRA lalnꋒN 1T K7\ΰ@mv*rc50U-fKA o|t`a2vZ[^e*vwh#7u!!d'ͭVN#C/,};O$m2QXrx5M⵰t7͛KzDMh%\c<>˭m#V@ᛓ28l|eO?xؖO{Mu^AMy- PHb- [衋klRm3:L =,4e27O裴ro-%"?PZ74WZ$}P~άu9 #:q"1|&s6/6LIAH8}$ytus1[5©HW6D{•6tR Kt'3)(o&֢ vnM:qaxVnQT 6xm!kՠzM %(6:XS>w3vp~Dғ@@ᚸnF6/b|rtGR(c@E?ȷC檾Lw=ԣ)xԥxP1ֻ7Fd;x5ݡ_9ioe^yۿH&Oy?V;V@mF)@ z.Z)Qx.1߆R#gklњmhZ9%f蛮'}i:4BݔL&B@m9f*=j9MiNKJ,6K;+/$w^^|$Q [NJ}R -*@M{G*5͉asԅԇ4X7r>H#^}`:k άi>Ȼ'}V7e'~ t` }W0dK)~vBPp5&+g|--t+>Hi5-f\U!Ac%&AUA9yXkf-ȳzM^X&bK5+viIFeNTS M577/) B6UUSٖr)h4P5jא<FdPܾ˞P@ܘ{],3ilUJ A?K$}SrHyΆ/iн<ޅS _ n Z>2=*"< ;@~[FؗD~ocElچL ӕQhiBg=Z[NCǻzkj90,ffYDx9[+񃾂GA([Ko -띏Lw:,t(֑4\C 2qh^f#s&U85B@x ѝ~`n)3AIDf\euuh9 E/n^0|&ib4q\@a7. `rdU)_A %K{* ymڀr?f72rwNWi>0\R4_1 DV7^\}c( 3EAP"9~.!QNzS4<В=o%mqūƮ7 6[#ChHȹ`T=$C( z[ DxB`9`AW Ag4& TAM4:F`<:M1H ;OÒ2+ÊRmD_euG!;Hv@$СKy+CrwwײoE{OdNPiPWԓ˃h ?2t̪ V!=4K+4 WєUC%27o_Fåf]TMq(k:Jo`gch[Jdp'/V]Q`:TX<ėc>ݟ40f-5i)* -Zqy |̟Јڙ6+y;t;P|~ict[8z^S2ӿhְ0O7'`N.ULĖMAk6qP(BZbY62Ά6;8dw(cy+r)9%"/WQJI.4:l&H~\$;SPlԱ&v9t7V hG-7j/LV.Xu$ֈ}tY08fhR*4ȝ^f?JوDQ*\YٲAQKdh͇r^o~uphknͮjKéM Ż@Tg-.i(\$6gf^W2^U҇1NM!1;\:g4 8r;7\ !0z]/AuTNf*yoݭ.gJ9+pͷ1873rP>_͙߰SEfe? :Eј+8y[ y_Q8z\H.Htmd.@BB—rҮ9>aND͜/Z:^^4,.gdmz>HT&|+sA_wƙ G2NJzkC'C^-}E-ͺgZ|37WX-d[_~]Z؀g*-Xy5Gh g^(#(v ,Gx 10طZ;RYRc^xlp0N'f JxuMJ W_֓6HY'1 #!P\Ͳ>{}c( `ؤ H"-9U =S^(GƽຶS#V{ʶkt3J\e@HsʊɱeUyDx OeZ%mc {*&?%Ҙ2g@^54:RO`ʞ;LwHRGc&,upǻբ%@Mx?\ zLh W%xiwϛT#)Eq- N#d5`rڹJW.[g5S`73d0SPPls^zzL1mߛ"iSdZ&*f΅k y6V2ll}U^4?Br/$[E+eklb`ߺoCa [AgP3y^W{D3cXQ]s0b.m޴WOsUM7hc5 FAAn^~5dy IWs,s!rj(S0Eن="y N< Ē|'7dkHP U?^\~IG,I9c%o¡磊2YFB2I"_J2ll|n%oQ=am#i1A *1!'K`cTIF O:CV*7CL)"rla:Mvk`2LGXwjl31j)9` p^L # Ԋοyj%#9$a%ŀBI¶2ٛ>T)z;U>H.Q[S[x:%^Қ 롺z8 %(z|,AEm_^bjغ/&{؋&lʮ0Cf\K TE!l%m#Y*e5{EomHn-vLp#`;Bm 4y){5{ez٥sS_͔fUģW> endobj 524 0 obj [ 780 278 784 521 780 556 780 780 800 800 800 800 800 1000 500 500 780 780 780 780 754 754 754 754 780 780 780 780 984 984 754 754 1099 1099 616 616 1043 985 985 780 1043 1043 704 704 1043 985 985 762 270 1021 629 629 784 784 1 1 556 519 722 556 733 635 780 780 634 425 452 780 780 451 536 536 780 357 333 333 333 333 333 333 333 333 347 728 333 333 275 277 700 776 776 668 668 668 700 700 662 662 444 444 444 444 370 370 367 367 286 498 ] endobj 525 0 obj <> endobj 526 0 obj <>stream %!PS-AdobeFont-1.1: MTSYN 1.000 %%CreationDate: 1996 Aug 26 20:27:17 % Copyright (c) 1996 Michael Spivak. % Hinting Copyright (c) 1996 Y&Y, Inc. 11 dict begin /FontInfo 9 dict dup begin /version (1.000) readonly def /Notice (Copyright (c) 1992-1996 Michael Spivak. Hinting Copyright (c) 1992-1996 Y&Y, Inc.) readonly def /FullName (MTSYN) readonly def /FamilyName (MathTime) readonly def /Weight (Medium) readonly def /ItalicAngle 0 def /isFixedPitch false def /UnderlinePosition -100 def /UnderlineThickness 50 def end readonly def /FontName /MZYQQE+MTSYN def /PaintType 0 def /FontType 1 def /FontMatrix [0.001 0 0 0.001 0 0] readonly def /Encoding 256 array 0 1 255 {1 index exch /.notdef put} for dup 25 /approxequal put dup 3 /asteriskmath put dup 106 /bar put dup 107 /bardbl put dup 102 /braceleft put dup 103 /braceright put dup 84 /bracketleft put dup 85 /bracketright put dup 15 /bullet put dup 79 /circumflex put dup 86 /colon put dup 50 /element put dup 68 /equal put dup 21 /greaterequal put dup 0 /minus put dup 2 /multiply put dup 54 /negationslash put dup 1 /periodcentered put dup 67 /plus put dup 48 /prime put dup 73 /semicolon put dup 24 /similar put readonly def /FontBBox{0 -954 1043 900}readonly def currentdict end currentfile eexec oc;j~EЪڇqcVv3ދF'HJ1ۻ=AWԯ~k=%LT~1%V|St99 KYMyD+,gD}F2Eh#^#dT(@UN0u˰jkV"ozG+1O &`=!ΰ}A/Ve^]=J2j`Kk=eYp6\ Htsc{M|0)luŷ[u;M:= آ]ZS3Ƈ~#y ~qPf= af|#fĬ{ZeOʄݩCs!YՊG IYu~M& 9y|^=C,`Qo aE,rP zs9ε&q[R" sKJ*^#nSC 9Vv"44`Ro?ЬRd(TaJ*)@ivpːyACEs=}|Ng 'J[FG ,]&{!c$1K Wb"cSywGBh9 ա `(͆wTh_7A#y"ᵂ,~d=et78{*|Y: ,wRU}p$f+2܃>H.j{Ms NteikyR śuVb pǓ`cS|cF03RsSn0u)RnC[dk;Ǻ8Z ~s_4 `.ϢhpȠ?thmbj&L1MܔɨbUW#rp"UBi ؒ:"d324 Jv$>Q?Ky$xSa W#[^{Rf{H6>|,,';QՖ-!ܬk³Sʰ$(0"`֡(񴴸(Ɣٳ1"0/۰Yʠ;ڴ^!s㲹oM>rˌ *&8zu&/!z̓fH_w*ihA؄û} g7Y 3:rn-cBFbD&d|a2r2psӓg.?WXy 6H+zG%Z2A_PS~W 0)/t):;Ƴ!4 t+^!BPψvMO-ʁ_ }N@4/0u睓#QLQrU gLpo0uVѼJ_ũ\N2U4~ӷ'S%F)6WΚau)_ؕ84O r7@7^[lqu.ZIDLY'>헂7T!鏠`ӛׅȳIŅıS8Ĵǡi:(ŵ;ñ2!Ğ2s٬%Kɳ<^kf`U8lP@sGAW4>U: ,Ddpc]H ,*h4)Ci8a`;Y| _o&7jJTQ~]8uJm)@먘MwuЬd}E1mQ&SJa3nP4 '4L[J,޵ԟ;?1@>-V:^v[A61Y1 =YݵBl zEZƽK59T@wwХjr&G,gr3#C78i֫b&i.[N3=m* $#2٭}EoIz&P@3+~\nkߠ\ a` P:Z}}!א\Uko%~=׭5z[&E:DW4axJjN3r41}>T_5J4*E ,8~ @:&1p+aaE"F;cX\ʒCl s̮$ 8S!X>ǰ.Ѱ񞭤&܃ʲ9'hȴ?)/"n : [llOըrXW+P^"a̢t4vU *D/N ;6#=HÚ*HPakUN#'yIlIGRϞP#zcm^!=]xѠI*j+Gp~3;>̈ON5I(oW8*3[ 6e򛪜߲ vN=Y@3@8HJْ%'0]0%p4A& *?/шKt;rRqR@H{WDžz5TYz4ִLEtMendstream endobj 527 0 obj <> endobj 528 0 obj [ 550 541 528 628 510 476 593 669 316 307 574 455 822 652 611 520 618 562 464 479 ] endobj 529 0 obj <> endobj 530 0 obj <>stream %!PS-AdobeFont-1.0: t1-gul-regular-smallcaps 001.001 %%Title: t1-gul-regular-smallcaps %Version: 001.001 %%CreationDate: Mon May 26 10:39:46 2008 %%Creator: CV Radhakrishnan,,, %Copyright: Gulliver, Giant amongst Dwarfs. %Copyright: This typeface offers excellent readability at very small %Copyright: sizes. %Copyright: %Copyright: The digitally encoded machine readable outline data for %Copyright: producing the typefaces licensed to you is copyrighted (c), %Copyright: 1994, 2005 by and the property of Gerard Unger. % Generated by FontForge 20070607 (http://fontforge.sf.net/) %%EndComments FontDirectory/t1-gul-regular-smallcaps known{/t1-gul-regular-smallcaps findfont dup/UniqueID known{dup /UniqueID get 4084430 eq exch/FontType get 1 eq and}{pop false}ifelse {save true}{false}ifelse}{false}ifelse 12 dict begin /FontType 1 def /FontMatrix [0.001 0 0 0.001 0 0 ]readonly def /FontName /QDTHNW+t1-gul-regular-smallcaps def /FontBBox {-115 -321 1407 1009 }readonly def /UniqueID 4084430 def /XUID [1021 992 867865856 15320446] def /PaintType 0 def /FontInfo 11 dict dup begin /version (001.001) readonly def /Notice (Gulliver, Giant amongst Dwarfs.\012This typeface offers excellent readability at very small sizes.\012\012The digitally encoded machine readable outline data for producing the typefaces licensed to you is copyrighted \050c\051, 1994, 2005 by and the property of Gerard Unger.) readonly def % Gulliver, Giant amongst Dwarfs. % This typeface offers excellent readability at very small sizes. % % The digitally encoded machine readable outline data for producing the typefaces licensed to you is copyrighted (c), 1994, 2005 by and the property of Gerard Unger. /FullName (Gulliver SCOsF) readonly def /FamilyName (Gulliver SCOsF) readonly def /Weight (Regular) readonly def /FSType 4 def /ItalicAngle 0 def /isFixedPitch false def /UnderlinePosition -75 def /UnderlineThickness 50 def /ascent 789 def end readonly def /Encoding 256 array 0 1 255 {1 index exch /.notdef put} for dup 97 /a put dup 98 /b put dup 99 /c put dup 101 /e put dup 102 /f put dup 105 /i put dup 108 /l put dup 110 /n put dup 111 /o put dup 114 /r put dup 115 /s put dup 116 /t put readonly def currentdict end currentfile eexec oc;jAw-36Uu4 l.Nk48DPh>[7ɰ9..CSoZqO O)9OHl~Q:ɾD0j J'JZ `B 5ԆG tbY7:Ϳ2hK@,'$Qr[GB_720 qs`a|Xu\ӅZ?.PcN7.?WֺYq^$^VA7Up c?{RlG9a% #SȣP^-qTo8g^Z#Z #v.Cows?**hfy&;D bÍ!*=8-T9wPa4ԩ^vqB }p ;?IX`D-5 %[!Ӟ1o gn/yhgD`Ce}zB-8Zvʼ-ki8˹HCW*e*~V7gHmWrM)OlPlSN hUGXǧ=v%vӈ ^o66'%&AT( uw7 :L{|&( ,cY44rf*go&z* {NhJl0r1xР%syX\8 ]n`85˲#sBIr:lr܎eǪ7o~!sPAz18xA նNthTw6I[T]`T: v5Z*nZ o)f{H0jer9;Q"}l|a/osARS#݅mrnWe$h1Љ^XY{c+qi|l#mH PJ uSCB`ְ{FflVηiޢɊڿ;%rh0x 1y=XZ |~{rwy)&W$.6K6'ؘǿ6BA%dד\vu;7w}`-!/@ )$9vg޽ȭ2,8tv"# 3 $Buw`f aMG8aOһYbI#mM E.i [qI]4>stU'5upLQvE\ oG~$T2i=$v>ÅN.ȿ&6 ?XxKBal߉X+ıybhrm:dïi9 s܋J`I>:X|xE6l">\#M^>)Ʋ}}s14_;ũ yW-D}#/WML윰k7q7t>O@tlӱ%@WǼD^P ;1 ہZU0jm b{e(zaX ,9s~ƣK ͔?;8C=" C; jc: vhu"w@<]Lجt^}2 ԍnK^j*-FK8:s FBJ27+EP A@F''` H+O 9kI^SL<}Ir>4P :)H1䁜ž5[_RUCAxl=_0 p#ks-K~'G OS@~zk9j?qeVp9rAOAM;n] @`}Bx*QVO9_y|=I_ 8ȅQ({KqKbAanm *.Jh-a~Q&wiܪtP*AH)Hk&E}ZOmzMo\ ּ]8JvxJdo_P lz*o{ۡjWհ#GMN].ɨ2e'%_P2̬W'MPAYQps]_HNs&zt~몙~?K _̤H4GyV(Akj.Q䐧HJ:ux\jLFzoSﴔd!в.- cmnWċַ|Flb`.Tv#HYB\)UґV:ҳ?v?&$AOF GlxbF(qfƂgR]8vWJ7krx7M dyF#qgݸts5r ֤cLm3+NW0: )AI!%A7vac;2FERVނGdE90N!tʆH7l#V]^%2ShԿ CΟ^c.2 ),vo,{(ݞK:LlwM 2Y_?l6EPA>YlQP?7Q%1bt [-F˕<1BoqH D'sRrz,Ռbct"׳1&&3e"G Ƙ# 6|a.T_gCAkm z0Hy-~D"i/3SQEfab6ttMgVMvqZ{."3&Wּ-K$IOɢgz3],tG x֪!K3s(r;h[;pq[^[El2J%HZ9pQAQ7?k11gEbc+ktZE XxKBE{6tNa RSmBD}Dpft d+\|ɃVS+C.5c5 :Mhsė Sc흢ܬJfKMمS*)HÑTۈ~;|ӖJU\5a5=i=ljBDxq!X ̦vJp/Y]D0T Sr;y7}{"NV!![‡M[,jzyhWe lUbڌAz*Bנ/#U/qۏ_ހRVAiR2MO.]LaiN+Uzczi :`vrtWA%FNtQQ:_!؊H ;`C=K-վ3$$qStV,O*;Ky󝳻|l8D0@,e9dvfCS:L7و_X[݇0nc]W3[@gN:hV\LY6vNQXPoRUcc߃'LMs!s'%Rᄟ~lfhQDLn7E P\O%9Tj]|Fe/2͹R tَ@9.-~Rxը /W)Jq4ԓˮbd|)#MV;lY p%9ǖq /s} œ8L6&Pzb G:&=W5F$h1Z~ :txkOk"X%.(AZ(1cH }C}X~cR [`?ձ\c %4ƫ/ 7kct=!Zɸ"/[818!tqxQq}([`$6ɨ߂G*9tH戥>M/&.+MtG1MG(\8f#7p85 MfƭlO8'eq*5ƝDV47L8sZu\ƿ qP~5r{P|)q EDsɺ Yɇ[WSbOH,ƞۏ VF4V Zܰn .ow_吵: %<*Y/sP`6#hlWg6Y i*)fySc[-5GwoK=Ɔ`7%(F`G_\? &A_^7` ڞx᧓1S>%!< D?AfL̢o}P< 3Zq{BZKAM b&<夔3@s"f_t,בwAˇ-,EK)$6ôOi]KсylZ~ nYNLNbXƻ0Jw,BTHgђSD-\fXC#pZ_&0L:ᓎ0_eW^]ԑŲ]b:LQFWIurV~W=dH#*7Ѷݎ&Z5˫wƮ3o{ GP AzܿBK>&Q]V[:]Fq%ac7xStGp w eꅟ87>d& P(y*{j30ˤ~4G_9&^:]R TQ9&e@as`ij5W=\5< ׃`KD ЗS#| )""9[]?ç!,>(;$+IKr? TR'g>NPl`6CmQ{,%>rtFz=1sQ^TfMpδ7W$WBB#~%jĸendstream endobj 531 0 obj <> endobj 532 0 obj [ 256 289 582 582 582 582 582 582 582 582 582 582 310 310 549 549 549 533 872 672 638 604 726 602 551 671 756 346 337 705 535 936 736 730 627 730 662 528 572 728 675 1040 701 635 598 381 385 381 549 500 251 548 611 499 622 541 378 566 651 326 324 627 325 979 653 605 618 610 452 458 398 644 547 862 562 544 503 ] endobj 533 0 obj <> endobj 534 0 obj <>stream %!PS-AdobeFont-1.0: t1-gul-bold 001.001 %%Title: t1-gul-bold %Version: 001.001 %%CreationDate: Mon May 26 10:32:29 2008 %%Creator: CV Radhakrishnan,,, %Copyright: Gulliver, Giant amongst Dwarfs. %Copyright: This typeface offers excellent readability at very small %Copyright: sizes. %Copyright: %Copyright: The digitally encoded machine readable outline data for %Copyright: producing the typefaces licensed to you is copyrighted (c), %Copyright: 1994, 2005 by and the property of Gerard Unger. % Generated by FontForge 20070607 (http://fontforge.sf.net/) %%EndComments FontDirectory/t1-gul-bold known{/t1-gul-bold findfont dup/UniqueID known{dup /UniqueID get 4090458 eq exch/FontType get 1 eq and}{pop false}ifelse {save true}{false}ifelse}{false}ifelse 12 dict begin /FontType 1 def /FontMatrix [0.001 0 0 0.001 0 0 ]readonly def /FontName /HSWMZV+t1-gul-bold def /FontBBox {-150 -371 1131 1082 }readonly def /UniqueID 4090458 def /XUID [1021 992 867865856 10469850] def /PaintType 0 def /FontInfo 11 dict dup begin /version (001.001) readonly def /Notice (Gulliver, Giant amongst Dwarfs.\012This typeface offers excellent readability at very small sizes.\012\012The digitally encoded machine readable outline data for producing the typefaces licensed to you is copyrighted \050c\051, 1994, 2005 by and the property of Gerard Unger.) readonly def % Gulliver, Giant amongst Dwarfs. % This typeface offers excellent readability at very small sizes. % % The digitally encoded machine readable outline data for producing the typefaces licensed to you is copyrighted (c), 1994, 2005 by and the property of Gerard Unger. /FullName (Gulliver Bold) readonly def /FamilyName (Gulliver) readonly def /Weight (Bold) readonly def /FSType 4 def /ItalicAngle 0 def /isFixedPitch false def /UnderlinePosition -75 def /UnderlineThickness 50 def /ascent 789 def end readonly def /Encoding 256 array 0 1 255 {1 index exch /.notdef put} for dup 65 /A put dup 66 /B put dup 68 /D put dup 70 /F put dup 71 /G put dup 73 /I put dup 77 /M put dup 82 /R put dup 83 /S put dup 87 /W put dup 97 /a put dup 98 /b put dup 99 /c put dup 100 /d put dup 101 /e put dup 56 /eight put dup 102 /f put dup 53 /five put dup 52 /four put dup 103 /g put dup 104 /h put dup 105 /i put dup 107 /k put dup 108 /l put dup 109 /m put dup 110 /n put dup 57 /nine put dup 111 /o put dup 49 /one put dup 112 /p put dup 46 /period put dup 114 /r put dup 115 /s put dup 55 /seven put dup 54 /six put dup 116 /t put dup 51 /three put dup 50 /two put dup 117 /u put dup 118 /v put dup 119 /w put dup 120 /x put dup 121 /y put dup 122 /z put readonly def currentdict end currentfile eexec oc;jAw-<X2-Τ^tE_SKF1F^jNBq{y4-Fgbԓ{"WB:rP ?dgS%|'ؓw&F7JNL9VRtbT5'm\N"K< wJv$tE;D4Vܢv{oߩ?@(L[ov#0z[mW9GU@$ilLѨ8Mp!29"u]XoM^ R`@KP Ѩ9c~VA-۩+-3G?ZvrKۈsy7.iXU#;߳Wį H~zVbh'u]wP^I-?6\T"K7& n-ku9yD#`itϳPjǺs8r\B^ݼ 'nMPskm`TWF}]:4iX 뿉N^fR,qGظ֠yNx^r@])z܆L{9[U‡n9ơf9Wn"'X͘1#d E+3Ll\.S~ٛ_7ߴ1 N4.I#'f˖7ݩKi0L768 T5l3>HBpPxeU] 񀆊,^ S6]v>J~iY XWgzK$'Q-긇H!V܁d!;d4T5:,v#cK*;+zXz k =Yu6[T_}Mi}p~.<#8ϵew]1~W/dTD6N?P`0 &q+]<4[~Uу0G6m#^x#\Ǽ:X)/='KWXW37tJe pɦϐrߙ|j,4^"JCZQyvf7\ /O˫\Q,ļcE7]PA+<>7y:,,E{:}1\\6W% Ђ ӥGy{cdܠ2?&\"{HUc ġVLԅrl5 92h羦`x@m}{$H')\Q%"*G9=S._y!P>F~,w*5i1m@S,GV3~K̳'Ҁ&gK@6) .r8kV)X';! 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Hinting Copyright (c) 1996 Y&Y, Inc.) readonly def /FullName (RMTMIB) readonly def /FamilyName (MathTime) readonly def /Weight (Bold) readonly def /ItalicAngle -14.1 def /isFixedPitch false def /UnderlinePosition -100 def /UnderlineThickness 50 def end readonly def /FontName /HIIJCL+RMTMIB def /PaintType 0 def /FontType 1 def /FontMatrix [0.001 0 0 0.001 0 0] readonly def /Encoding 256 array 0 1 255 {1 index exch /.notdef put} for dup 8 /Phi put dup 6 /Sigma put dup 12 /beta put dup 15 /epsilon1 put dup 13 /gamma put dup 22 /mu put dup 30 /phi put dup 32 /psi put dup 18 /theta put readonly def /FontBBox{0 -208 994 706}readonly def currentdict end currentfile eexec oc;j~EЪ*BgNӽ ؑlKq*޲Xws|QFqv`zXMyp"5O˩YŝP(DT![v67XFlU&3!Rq4wσ~j/Ϥe땨Pq >98ν\»td£ű,)''AN/NYT_öªo;Iiu#ٗ+kzokWs>A&JOM?#7$RanOe# sYq>-@ (FFy ,Qzwn`MʧN$lRB#>$ӳݳE*"9?󱫥ϭ2,1<:+cut@aGܢ)dJVպ48eB«i~breptbKbfW.g(>O\\~zftT$u WFqb},9v0P9OVi,z4#")bEb1͑po5-cXDiA8O|h4!ڔϱmOAU3*:;2 ~S_gRk+"確`c'y[tw%iWZk*nO*"nDevMRKP9uy{G*;Cqo-1",O4R*G \Z8wpd;\vAgY~)%z "JtS2bHF3PZ $p+לY}I*-G!4B xyÆi'(':Z:6J/<э9!C,fDJra;nIl*A @a-{GM"\yA#P|Kq*Q2VVB[O}-T7몇az q)?CDY`{^6:]8 X#4c-+xx>H'*t>{?1f*cq(S3GZGXE`~q%2 Ćq UN:@*bmI@bn OݰxZ%a QX-^VUq-) Ѝh }Z䰯$QɡHlB]=8@'crѹChJH[/u/3& o0"!&&;۾q/>o̲n)~S 12:X~͸rSQUP>SBӒgPFM w|k I_TOB4? q X6&Vˌ xy-KtV.b ̹v-1f>SgfhoI,֒ *Gw婐dЂ:* su'pH R-[l;b$V֍!J]d&P ayie zsQn9&JX?h){OCɞVuvN.cVe;Vk thkK" a,INDH&/w\ߴu1> tΦ 2IvM .K34=d (yw`ŗ!\〗=b|~-qc0RDicñQYyƞg*H5뒝Bw5ʌ8ѠA!'ϊʈ#g5I ̴[Ag0h/C:NO1 M:tLq]me^ʦu9Jb}ӝl}&`%ݟ&=3l}:4'!Aڎ>Ta\}(`M(mJhB\r;.U8#!.yrއƖs䴅_isiU0_ΞlMM^\VjQKZ3PaoHuU$sJyD#"5t~vgAzyzGo\B>_+, K-<+3"~2ʌm)htsSqQ <'^*jOmf#r2t{CD =a)4zijсP@Gnr2;/bOWOu&w֩I?0ܜsvtܖ XpٙQm[Z}vw25IP3r> endobj 540 0 obj [ 278 278 556 556 556 556 556 556 556 556 556 556 278 278 584 584 584 500 1015 722 667 667 722 611 556 778 722 278 556 667 556 944 778 778 611 778 667 667 611 778 667 1000 722 667 611 333 278 333 584 500 278 556 611 500 611 556 333 611 611 278 278 500 278 944 611 611 611 611 389 500 333 611 556 833 ] endobj 541 0 obj <> endobj 542 0 obj <>stream %!PS-AdobeFont-1.0: t1-uni-regular 002.000 %%Title: t1-uni-regular %Version: 002.000 %%CreationDate: Sat Apr 12 22:19:08 2008 %%Creator: CV Radhakrishnan,,, %Copyright: Copyright (c) 1987, 1991, 1993, 1994, 1998 Adobe Systems %Copyright: Incorporated. All Rights Reserved.Univers is a trademark %Copyright: of Linotype-Hell AG and/or its subsidiaries. % Generated by FontForge 20070607 (http://fontforge.sf.net/) %%EndComments FontDirectory/t1-uni-regular known{/t1-uni-regular findfont dup/UniqueID known{dup /UniqueID get 4172112 eq exch/FontType get 1 eq and}{pop false}ifelse {save true}{false}ifelse}{false}ifelse 11 dict begin /FontType 1 def /FontMatrix [0.001 0 0 0.001 0 0 ]readonly def /FontName /ZQPAQN+t1-uni-regular def /FontBBox {-168 -250 992 997 }readonly def /UniqueID 4172112 def /PaintType 0 def /FontInfo 9 dict dup begin /version (002.000) readonly def /Notice (Copyright \050c\051 1987, 1991, 1993, 1994, 1998 Adobe Systems Incorporated. All Rights Reserved.Univers is a trademark of Linotype-Hell AG and/or its subsidiaries.) readonly def /FullName (Univers 55 Roman) readonly def /FamilyName (Univers) readonly def /Weight (Regular) readonly def /ItalicAngle 0 def /isFixedPitch false def /UnderlinePosition -100 def /UnderlineThickness 50 def end readonly def /Encoding 256 array 0 1 255 {1 index exch /.notdef put} for dup 67 /C put dup 68 /D put dup 83 /S put dup 97 /a put dup 98 /b put dup 99 /c put dup 58 /colon put dup 100 /d put dup 101 /e put dup 103 /g put dup 104 /h put dup 105 /i put dup 106 /j put dup 108 /l put dup 109 /m put dup 110 /n put dup 111 /o put dup 112 /p put dup 46 /period put dup 114 /r put dup 115 /s put dup 47 /slash put dup 116 /t put dup 117 /u put dup 118 /v put dup 119 /w put readonly def currentdict end currentfile eexec oc;jAw-ᾉYň5t&נ{hLGqB`d˗Pة|*x\ޖHtEB-gedog7Q`[['W73sZ9 m !tAY!$tY\r[uTIUiBy[Ȝŗ3Kï6zJ!˒Js&B5CV]_I50$zEL>6µ3-O"Ղ,vw ;q8Q^Epd4_PsxO^2|jp5Ժ *Vg/ T"rɵ8t~k W%3M?$ۛWuGt5o6.2|#ԧ@ rد|C1k}')˃Umt8;:?2>GSQs2 KJۋaq%3(jv'T#o映ӲXƴpi-=@ؚi YCuC 纞 Wj/: IqyMG?rKiߣg d@rQKѴ:,] n0a]b g6ˈ}R2,^3>J TŘXbM]&Q2U}o=!X3Sq m0_׬P!C IKV.]!Nu}&QR0NtX.2_%R/d^4^˞Oqq+Q c,ީ)|.'ȣ_Ȁ`( H;1A CF=V˅O׼ s' k܎W;>) aݳaXY7Z bݱϚقf/?8U7>p'p 2ÅHA"&xt՝cs-|2N}i鍜`U+2&cW\LG.51n{uD Q'qGSe9ޡ(!@m:)IΏ;ipU@>\DKCV${Kt \׫̒O̗Ӌ9 ӦL-??sp!/$OMQ':Εz)|Y<^J8\qa_\ތQ*g{@N HnHƌoE kF%'nH깻L}j~RL^lV@vOkc}-e r % ME-eKi7ӈO^+l%"s1ZZ[%)%b??ihogC!4ZuuNT!ؼUpD΅"#pQ]gCǨ}dڌ%=c^C : Tix5j[U?SSӓ]!?dN@pBn.X֚^[AOsDMqAA[ 7?Dv +rʈ7^BS R9M?^ݬ@Q8@b6X.)ՆbgݷDY i$3/̯\! 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[(Fig.)-250(2)]TJ ET 1 0 0 1 235.994 403.076 cm 0 g 0 G 1 0 0 1 -235.994 -403.076 cm BT /F20 8.2889 Tf 235.994 403.076 Td [(,)-250(require)-250(multiple)-250(parameters)-250(to)-250(define.)]TJ ET 1 0 0 1 40.867 403.076 cm 0 g 0 G 0 g 0 G 1 0 0 1 -40.867 -403.076 cm BT /F20 8.2889 Tf 52.822 392.388 Td [(There)-270(is)-269(a)-270(considerable)-269(literature)-270(on)-269(adaptive)-270(smoothing)-269(within)-270(the)-270(contexts)-269(of)-270(kernel)-269(and)-270(local)-269(polynomial)-270(smoothing)]TJ ET 1 0 0 1 40.867 392.388 cm 0 g 0 G 0 g 0 G 1 0 0 1 -40.867 -392.388 cm BT /F20 8.2889 Tf 40.867 381.927 Td [(methods)-198(\050)]TJ ET 1 0 0 1 79.06 381.927 cm 0 0 .4 rg 0 0 .4 RG 1 0 0 1 -79.06 -381.927 cm BT /F20 8.2889 Tf 79.06 381.927 Td [(Hardle)]TJ ET 1 0 0 1 104.706 381.927 cm 0 g 0 G 1 0 0 1 1.64 0 cm 0 0 .4 rg 0 0 .4 RG 1 0 0 1 -106.346 -381.927 cm BT /F20 8.2889 Tf 106.346 381.927 Td [(and)]TJ ET 1 0 0 1 120.595 381.927 cm 0 g 0 G 1 0 0 1 1.64 0 cm 0 0 .4 rg 0 0 .4 RG 1 0 0 1 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1 0 0 1 290.156 381.927 cm 0 g 0 G 1 0 0 1 1.641 0 cm 0 0 .4 rg 0 0 .4 RG 1 0 0 1 -291.797 -381.927 cm BT /F20 8.2889 Tf 291.797 381.927 Td [(and)]TJ ET 1 0 0 1 306.045 381.927 cm 0 g 0 G 1 0 0 1 1.64 0 cm 0 0 .4 rg 0 0 .4 RG 1 0 0 1 -307.685 -381.927 cm BT /F20 8.2889 Tf 307.685 381.927 Td [(Silverman,)]TJ ET 1 0 0 1 348.201 381.927 cm 0 g 0 G 1 0 0 1 1.641 0 cm 0 0 .4 rg 0 0 .4 RG 1 0 0 1 -349.842 -381.927 cm BT /F20 8.2889 Tf 349.842 381.927 Td [(1989)]TJ ET 1 0 0 1 369.038 381.927 cm 0 g 0 G 1 0 0 1 -369.038 -381.927 cm BT /F20 8.2889 Tf 369.038 381.927 Td [(;)]TJ ET 1 0 0 1 373.597 381.927 cm 0 0 .4 rg 0 0 .4 RG 1 0 0 1 -373.597 -381.927 cm BT /F20 8.2889 Tf 373.597 381.927 Td [(Vieu)]TJ ET 1 0 0 1 390.929 381.927 cm 0 g 0 G 1 0 0 1 -390.929 -381.927 cm BT /F20 8.2889 Tf 390.929 381.927 Td [(,)]TJ ET 1 0 0 1 392.869 381.927 cm 0 0 .4 rg 0 0 .4 RG 0 g 0 G 1 0 0 1 1.64 0 cm 0 0 .4 rg 0 0 .4 RG 1 0 0 1 -394.509 -381.927 cm BT /F20 8.2889 Tf 394.509 381.927 Td [(1991)]TJ ET 1 0 0 1 413.706 381.927 cm 0 g 0 G 1 0 0 1 -413.706 -381.927 cm BT /F20 8.2889 Tf 413.706 381.927 Td [(;)]TJ ET 1 0 0 1 418.265 381.927 cm 0 0 .4 rg 0 0 .4 RG 1 0 0 1 -418.265 -381.927 cm BT /F20 8.2889 Tf 418.265 381.927 Td [(Brockmann)]TJ ET 1 0 0 1 461.972 381.927 cm 0 g 0 G 1 0 0 1 1.64 0 cm 0 0 .4 rg 0 0 .4 RG 1 0 0 1 -463.612 -381.927 cm BT /F20 8.2889 Tf 463.612 381.927 Td [(et)-198(al.)]TJ ET 1 0 0 1 481.423 381.927 cm 0 g 0 G 1 0 0 1 -481.423 -381.927 cm BT /F20 8.2889 Tf 481.423 381.927 Td [(,)]TJ ET 1 0 0 1 483.363 381.927 cm 0 0 .4 rg 0 0 .4 RG 0 g 0 G 1 0 0 1 1.641 0 cm 0 0 .4 rg 0 0 .4 RG 1 0 0 1 -485.004 -381.927 cm BT /F20 8.2889 Tf 485.004 381.927 Td [(1993)]TJ ET 1 0 0 1 504.2 381.927 cm 0 g 0 G 1 0 0 1 -504.2 -381.927 cm BT /F20 8.2889 Tf 504.2 381.927 Td [(;)]TJ ET 1 0 0 1 40.867 381.927 cm 0 g 0 G 0 g 0 G 1 0 0 1 0 -10.46 cm 0 0 .4 rg 0 0 .4 RG 1 0 0 1 -40.867 -371.467 cm BT /F20 8.2889 Tf 40.867 371.467 Td [(Eubank)]TJ ET 1 0 0 1 69.248 371.467 cm 0 g 0 G 1 0 0 1 2.267 0 cm 0 0 .4 rg 0 0 .4 RG 1 0 0 1 -71.515 -371.467 cm BT /F20 8.2889 Tf 71.515 371.467 Td [(and)]TJ ET 1 0 0 1 85.763 371.467 cm 0 g 0 G 1 0 0 1 2.268 0 cm 0 0 .4 rg 0 0 .4 RG 1 0 0 1 -88.031 -371.467 cm BT /F20 8.2889 Tf 88.031 371.467 Td [(Speckman,)]TJ ET 1 0 0 1 129.226 371.467 cm 0 g 0 G 1 0 0 1 2.268 0 cm 0 0 .4 rg 0 0 .4 RG 1 0 0 1 -131.494 -371.467 cm BT /F20 8.2889 Tf 131.494 371.467 Td [(1993)]TJ ET 1 0 0 1 150.691 371.467 cm 0 g 0 G 1 0 0 1 -150.691 -371.467 cm BT /F20 8.2889 Tf 150.691 371.467 Td [(;)]TJ ET 1 0 0 1 155.876 371.467 cm 0 0 .4 rg 0 0 .4 RG 1 0 0 1 -155.876 -371.467 cm BT /F20 8.2889 Tf 155.876 371.467 Td [(Fan)]TJ ET 1 0 0 1 169.412 371.467 cm 0 g 0 G 1 0 0 1 2.267 0 cm 0 0 .4 rg 0 0 .4 RG 1 0 0 1 -171.679 -371.467 cm BT /F20 8.2889 Tf 171.679 371.467 Td [(and)]TJ ET 1 0 0 1 185.928 371.467 cm 0 g 0 G 1 0 0 1 2.267 0 cm 0 0 .4 rg 0 0 .4 RG 1 0 0 1 -188.195 -371.467 cm BT /F20 8.2889 Tf 188.195 371.467 Td [(Gijbels,)]TJ ET 1 0 0 1 216.327 371.467 cm 0 g 0 G 1 0 0 1 2.268 0 cm 0 0 .4 rg 0 0 .4 RG 1 0 0 1 -218.595 -371.467 cm BT /F20 8.2889 Tf 218.595 371.467 Td [(1995)]TJ ET 1 0 0 1 237.792 371.467 cm 0 g 0 G 1 0 0 1 -237.792 -371.467 cm BT /F20 8.2889 Tf 237.792 371.467 Td [(;)]TJ ET 1 0 0 1 242.977 371.467 cm 0 0 .4 rg 0 0 .4 RG 1 0 0 1 -242.977 -371.467 cm BT /F20 8.2889 Tf 242.977 371.467 Td [(Fan)]TJ ET 1 0 0 1 256.513 371.467 cm 0 g 0 G 1 0 0 1 2.267 0 cm 0 0 .4 rg 0 0 .4 RG 1 0 0 1 -258.78 -371.467 cm BT /F20 8.2889 Tf 258.78 371.467 Td [(et)-274(al.)]TJ ET 1 0 0 1 277.219 371.467 cm 0 g 0 G 1 0 0 1 -277.219 -371.467 cm BT /F20 8.2889 Tf 277.219 371.467 Td [(,)]TJ ET 1 0 0 1 279.158 371.467 cm 0 0 .4 rg 0 0 .4 RG 0 g 0 G 1 0 0 1 2.268 0 cm 0 0 .4 rg 0 0 .4 RG 1 0 0 1 -281.426 -371.467 cm BT /F20 8.2889 Tf 281.426 371.467 Td [(1996)]TJ ET 1 0 0 1 300.623 371.467 cm 0 g 0 G 1 0 0 1 -300.623 -371.467 cm BT /F20 8.2889 Tf 300.623 371.467 Td [(;)]TJ ET 1 0 0 1 305.808 371.467 cm 0 0 .4 rg 0 0 .4 RG 1 0 0 1 -305.808 -371.467 cm BT /F20 8.2889 Tf 305.808 371.467 Td [(Lepski)]TJ ET 1 0 0 1 330.053 371.467 cm 0 g 0 G 1 0 0 1 2.267 0 cm 0 0 .4 rg 0 0 .4 RG 1 0 0 1 -332.32 -371.467 cm BT /F20 8.2889 Tf 332.32 371.467 Td [(et)-274(al.)]TJ ET 1 0 0 1 350.759 371.467 cm 0 g 0 G 1 0 0 1 -350.759 -371.467 cm BT /F20 8.2889 Tf 350.759 371.467 Td [(,)]TJ ET 1 0 0 1 352.699 371.467 cm 0 0 .4 rg 0 0 .4 RG 0 g 0 G 1 0 0 1 2.267 0 cm 0 0 .4 rg 0 0 .4 RG 1 0 0 1 -354.966 -371.467 cm BT /F20 8.2889 Tf 354.966 371.467 Td [(1997)]TJ ET 1 0 0 1 374.163 371.467 cm 0 g 0 G 1 0 0 1 -374.163 -371.467 cm BT /F20 8.2889 Tf 374.163 371.467 Td [(;)]TJ ET 1 0 0 1 379.348 371.467 cm 0 0 .4 rg 0 0 .4 RG 1 0 0 1 -379.348 -371.467 cm BT /F20 8.2889 Tf 379.348 371.467 Td [(Herrmann)]TJ ET 1 0 0 1 418.712 371.467 cm 0 g 0 G 1 0 0 1 -418.712 -371.467 cm BT /F20 8.2889 Tf 418.712 371.467 Td [(,)]TJ ET 1 0 0 1 420.652 371.467 cm 0 0 .4 rg 0 0 .4 RG 0 g 0 G 1 0 0 1 2.267 0 cm 0 0 .4 rg 0 0 .4 RG 1 0 0 1 -422.919 -371.467 cm BT /F20 8.2889 Tf 422.919 371.467 Td [(1997)]TJ ET 1 0 0 1 442.116 371.467 cm 0 g 0 G 1 0 0 1 -442.116 -371.467 cm BT /F20 8.2889 Tf 442.116 371.467 Td [(\051,)-274(among)-273(others\051.)]TJ ET 1 0 0 1 40.867 371.467 cm 0 g 0 G 0 g 0 G 1 0 0 1 0 -10.461 cm 0 0 .4 rg 0 0 .4 RG 1 0 0 1 -40.867 -361.006 cm BT /F20 8.2889 Tf 40.867 361.006 Td [(Boularan)]TJ ET 1 0 0 1 75.041 361.006 cm 0 g 0 G 1 0 0 1 2.427 0 cm 0 0 .4 rg 0 0 .4 RG 1 0 0 1 -77.468 -361.006 cm BT /F20 8.2889 Tf 77.468 361.006 Td [(et)-293(al.)]TJ ET 1 0 0 1 96.065 361.006 cm 0 g 0 G 1 0 0 1 2.429 0 cm 0 0 .4 rg 0 0 .4 RG 0 g 0 G 1 0 0 1 -98.494 -361.006 cm BT /F20 8.2889 Tf 98.494 361.006 Td [(\050)]TJ ET 1 0 0 1 101.56 361.006 cm 0 0 .4 rg 0 0 .4 RG 1 0 0 1 -101.56 -361.006 cm BT /F20 8.2889 Tf 101.56 361.006 Td [(1995)]TJ ET 1 0 0 1 120.757 361.006 cm 0 g 0 G 1 0 0 1 -120.757 -361.006 cm BT /F20 8.2889 Tf 120.757 361.006 Td [(\051)-293(and)]TJ ET 1 0 0 1 142.917 361.006 cm 0 0 .4 rg 0 0 .4 RG 1 0 0 1 -142.917 -361.006 cm BT /F20 8.2889 Tf 142.917 361.006 Td [(Nunez-Anton)]TJ ET 1 0 0 1 194.241 361.006 cm 0 g 0 G 1 0 0 1 2.426 0 cm 0 0 .4 rg 0 0 .4 RG 1 0 0 1 -196.667 -361.006 cm BT /F20 8.2889 Tf 196.667 361.006 Td [(et)-293(al.)]TJ ET 1 0 0 1 215.265 361.006 cm 0 g 0 G 1 0 0 1 2.428 0 cm 0 0 .4 rg 0 0 .4 RG 0 g 0 G 1 0 0 1 -217.693 -361.006 cm BT /F20 8.2889 Tf 217.693 361.006 Td [(\050)]TJ ET 1 0 0 1 220.76 361.006 cm 0 0 .4 rg 0 0 .4 RG 1 0 0 1 -220.76 -361.006 cm BT /F20 8.2889 Tf 220.76 361.006 Td [(1999)]TJ ET 1 0 0 1 239.957 361.006 cm 0 g 0 G 1 0 0 1 -239.957 -361.006 cm BT /F20 8.2889 Tf 239.957 361.006 Td [(\051)-293(took)-292(into)-293(account)-293(a)-292(possible)-293(common)-293(structure)-293(o)1(f)-293(a)-293(family)-293(of)-292(curves)]TJ ET 1 0 0 1 40.867 361.006 cm 0 g 0 G 0 g 0 G 1 0 0 1 -40.867 -361.006 cm BT /F20 8.2889 Tf 40.867 350.545 Td [(and)-269(estimated)-270(these)-269(curves)-269(with)-269(nonparametric)-270(kernel)-269(smoothing)-269(techniques.)-270(To)-269(apply)-269(adaptive)-270(smoothing)-269(techniques)-269(to)]TJ ET 1 0 0 1 40.867 350.545 cm 0 g 0 G 0 g 0 G 1 0 0 1 -40.867 -350.545 cm BT /F20 8.2889 Tf 40.867 340.084 Td [(spline)-170(estimates,)]TJ ET 1 0 0 1 105.382 340.084 cm 0 0 .4 rg 0 0 .4 RG 1 0 0 1 -105.382 -340.084 cm BT /F20 8.2889 Tf 105.382 340.084 Td [(Nychka)]TJ ET 1 0 0 1 133.929 340.084 cm 0 g 0 G 1 0 0 1 1.406 0 cm 0 0 .4 rg 0 0 .4 RG 0 g 0 G 1 0 0 1 -135.335 -340.084 cm BT /F20 8.2889 Tf 135.335 340.084 Td [(\050)]TJ ET 1 0 0 1 138.402 340.084 cm 0 0 .4 rg 0 0 .4 RG 1 0 0 1 -138.402 -340.084 cm BT /F20 8.2889 Tf 138.402 340.084 Td [(1995)]TJ ET 1 0 0 1 157.599 340.084 cm 0 g 0 G 1 0 0 1 -157.599 -340.084 cm BT /F20 8.2889 Tf 157.599 340.084 Td [(\051)-170(linked)-169(the)-170(spline)-170(method)-169(with)-170(the)-170(kernel)-169(smoothing)-170(by)-170(showing)-170(in)-169(theories)-170(that)-170(the)-169(absolute)]TJ ET 1 0 0 1 40.867 340.084 cm 0 g 0 G 0 g 0 G 1 0 0 1 -40.867 -340.084 cm BT /F20 8.2889 Tf 40.867 329.624 Td [(value)-310(of)-310(the)-311(spline)-310(weight)-310(function)-311(decreased)-310(exponentially)-310(away)-310(from)-311(its)-310(center.)]TJ ET 1 0 0 1 358.797 329.624 cm 0 0 .4 rg 0 0 .4 RG 1 0 0 1 -358.797 -329.624 cm BT /F20 8.2889 Tf 358.797 329.624 Td [(Ruppert)]TJ ET 1 0 0 1 389.664 329.624 cm 0 g 0 G 1 0 0 1 2.572 0 cm 0 0 .4 rg 0 0 .4 RG 1 0 0 1 -392.236 -329.624 cm BT /F20 8.2889 Tf 392.236 329.624 Td [(and)]TJ ET 1 0 0 1 406.485 329.624 cm 0 g 0 G 1 0 0 1 2.572 0 cm 0 0 .4 rg 0 0 .4 RG 1 0 0 1 -409.057 -329.624 cm BT /F20 8.2889 Tf 409.057 329.624 Td [(Carroll)]TJ ET 1 0 0 1 434.793 329.624 cm 0 g 0 G 1 0 0 1 2.572 0 cm 0 0 .4 rg 0 0 .4 RG 0 g 0 G 1 0 0 1 -437.365 -329.624 cm BT /F20 8.2889 Tf 437.365 329.624 Td [(\050)]TJ ET 1 0 0 1 440.432 329.624 cm 0 0 .4 rg 0 0 .4 RG 1 0 0 1 -440.432 -329.624 cm BT /F20 8.2889 Tf 440.432 329.624 Td [(2000)]TJ ET 1 0 0 1 459.629 329.624 cm 0 g 0 G 1 0 0 1 -459.629 -329.624 cm BT /F20 8.2889 Tf 459.629 329.624 Td [(\051)-310(considered)]TJ ET 1 0 0 1 40.867 329.624 cm 0 g 0 G 0 g 0 G 1 0 0 1 -40.867 -329.624 cm BT /F20 8.2889 Tf 40.867 319.163 Td [(the)-371(spatial)-371(heterogeneity)-371(of)-371(the)-370(regression)-371(function)-371(and)-371(proposed)-371(to)-371(penalize)-371(the)-371(P-spline)-371(coefficients)-371(adaptively.)-371(They)]TJ ET 1 0 0 1 40.867 319.163 cm 0 g 0 G 0 g 0 G 1 0 0 1 -40.867 -319.163 cm BT /F20 8.2889 Tf 40.867 308.702 Td [(estimated)-225(the)-224(standard)-225(error)-224(of)-225(the)-224(regression)-225(function)-225(with)-224(the)-225(empirical)-224(Bayesian)-225(method,)-224(which)-225(ignored)-225(the)-224(uncertainty)]TJ ET 1 0 0 1 40.867 308.702 cm 0 g 0 G 0 g 0 G 1 0 0 1 -40.867 -308.702 cm BT /F20 8.2889 Tf 40.867 298.241 Td [(of)-234(the)-234(smoothing)-234(parameter)-234(estimate.)]TJ ET 1 0 0 1 186.249 298.241 cm 0 0 .4 rg 0 0 .4 RG 1 0 0 1 -186.249 -298.241 cm BT /F20 8.2889 Tf 186.249 298.241 Td [(Baladandayuthapani)]TJ ET 1 0 0 1 264.487 298.241 cm 0 g 0 G 1 0 0 1 1.94 0 cm 0 0 .4 rg 0 0 .4 RG 1 0 0 1 -266.427 -298.241 cm BT /F20 8.2889 Tf 266.427 298.241 Td [(et)-234(al.)]TJ ET 1 0 0 1 284.539 298.241 cm 0 g 0 G 1 0 0 1 1.941 0 cm 0 0 .4 rg 0 0 .4 RG 0 g 0 G 1 0 0 1 -286.48 -298.241 cm BT /F20 8.2889 Tf 286.48 298.241 Td [(\050)]TJ ET 1 0 0 1 289.547 298.241 cm 0 0 .4 rg 0 0 .4 RG 1 0 0 1 -289.547 -298.241 cm BT /F20 8.2889 Tf 289.547 298.241 Td [(2005)]TJ ET 1 0 0 1 308.744 298.241 cm 0 g 0 G 1 0 0 1 -308.744 -298.241 cm BT /F20 8.2889 Tf 308.744 298.241 Td [(\051)-234(constructed)-234(a)-234(Bayesian)-234(version)-234(of)-234(this)-234(local)-235(penalty)]TJ ET 1 0 0 1 40.867 298.241 cm 0 g 0 G 0 g 0 G 1 0 0 1 -40.867 -298.241 cm BT /F20 8.2889 Tf 40.867 287.78 Td [(method,)-340(and)-340(estimated)-340(the)-339(regression)-340(function)-340(and)-340(the)-340(smoothing)-340(parameter)-339(simultaneously.)-341(Their)-340(method)-339(can)-340(require)]TJ ET 1 0 0 1 40.867 287.78 cm 0 g 0 G 0 g 0 G 1 0 0 1 -40.867 -287.78 cm BT /F20 8.2889 Tf 40.867 277.32 Td [(intensive)-250(computation,)-250(and)-250(it)-250(may)-250(be)-250(hard)-250(to)-250(implement)-250(for)-250(the)-250(Naive)-250(users)-250(without)-250(the)-250(Bayesian)-250(Background.)]TJ ET 1 0 0 1 40.867 277.32 cm 0 g 0 G 0 g 0 G 1 0 0 1 -40.867 -277.32 cm BT /F20 8.2889 Tf 52.822 266.631 Td [(Our)-226(adaptive)-225(penalized)-226(spline)-225(smoothing)-226(method)-225(has)-226(three)-225(unique)-226(aspects.)-226(First,)-225(the)-226(smoothing)-225(parameter)-226(is)-225(a)-226(function,)]TJ ET 1 0 0 1 40.867 266.631 cm 0 g 0 G 0 g 0 G 1 0 0 1 -40.867 -266.631 cm BT /F20 8.2889 Tf 40.867 256.171 Td [(which)-226(can)-226(be)-227(adapted)-226(to)-226(the)-226(spatial)-226(heterogeneity)-227(of)-226(the)-226(data.)-226(Second,)-227(we)-226(estimate)-226(the)-226(regression)-227(curves)-226(and)-226(the)-226(functional)]TJ ET 1 0 0 1 40.867 256.171 cm 0 g 0 G 0 g 0 G 1 0 0 1 -40.867 -256.171 cm BT /F20 8.2889 Tf 40.867 245.71 Td [(smoothing)-491(parameter)-491(in)-491(two)-491(nested)-491(levels)-491(of)-490(optimization.)-493(This)-491(approach)-491(is)-491(able)-491(to)-490(converge)-491(more)-491(easily)-491(than)-491(the)]TJ ET 1 0 0 1 40.867 245.71 cm 0 g 0 G 0 g 0 G 1 0 0 1 -40.867 -245.71 cm BT /F20 8.2889 Tf 40.867 235.249 Td [(simultaneous)-403(estimation)-402(approach,)-403(and)-403(the)-402(computation)-403(is)-403(also)-402(faster)-403(than)-403(the)-402(Bayesian)-403(method.)-404(Finally,)-403(the)-402(variance)]TJ ET 1 0 0 1 40.867 235.249 cm 0 g 0 G 0 g 0 G 1 0 0 1 -40.867 -235.249 cm BT /F20 8.2889 Tf 40.867 224.788 Td [(estimate)-250(for)-250(the)-250(regression)-250(curves)-250(includes)-250(the)-250(uncertainty)-250(in)-250(the)-250(estimate)-250(of)-250(the)-250(functional)-250(smoothing)-250(parameter.)]TJ ET 1 0 0 1 40.867 224.788 cm 0 g 0 G 0 g 0 G 1 0 0 1 -40.867 -224.788 cm BT /F20 8.2889 Tf 52.822 214.1 Td [(Our)-206(paper)-206(is)-206(organized)-207(as)-206(follows.)-206(Section)]TJ ET 1 0 0 1 210.935 214.1 cm 0 0 .4 rg 0 0 .4 RG 1 0 0 1 -210.935 -214.1 cm BT /F20 8.2889 Tf 210.935 214.1 Td [(2)]TJ ET 1 0 0 1 215.734 214.1 cm 0 g 0 G 1 0 0 1 -215.734 -214.1 cm BT /F20 8.2889 Tf 217.443 214.1 Td [(introduces)-206(the)-206(generalized)-207(pro)1(filing)-207(method)-206(for)-206(the)-206(nuisance)-206(and)-206(complexity)]TJ ET 1 0 0 1 40.867 214.1 cm 0 g 0 G 0 g 0 G 1 0 0 1 -40.867 -214.1 cm BT /F20 8.2889 Tf 40.867 203.639 Td [(parameter)-222(estimates.)-222(Section)]TJ ET 1 0 0 1 152.919 203.639 cm 0 0 .4 rg 0 0 .4 RG 1 0 0 1 -152.919 -203.639 cm BT /F20 8.2889 Tf 152.919 203.639 Td [(3)]TJ ET 1 0 0 1 157.718 203.639 cm 0 g 0 G 1 0 0 1 -157.718 -203.639 cm BT /F20 8.2889 Tf 159.557 203.639 Td [(introduces)-222(the)-221(modified)-222(delta)-222(method)-222(applied)-221(to)-222(estimate)-222(the)-222(standard)-222(erro)1(rs)-222(for)-222(parameter)]TJ ET 1 0 0 1 40.867 203.639 cm 0 g 0 G 0 g 0 G 1 0 0 1 -40.867 -203.639 cm BT /F20 8.2889 Tf 40.867 193.179 Td [(estimates,)-371(which)-372(include)-371(the)-371(uncertainty)-371(of)-371(other)-372(parameter)-371(estimates.)-372(Section)]TJ ET 1 0 0 1 353.508 193.179 cm 0 0 .4 rg 0 0 .4 RG 1 0 0 1 -353.508 -193.179 cm BT /F20 8.2889 Tf 353.508 193.179 Td [(4)]TJ ET 1 0 0 1 358.307 193.179 cm 0 g 0 G 1 0 0 1 -358.307 -193.179 cm BT /F20 8.2889 Tf 361.384 193.179 Td [(compares)-371(our)-371(modified)-372(delta)-371(method)]TJ ET 1 0 0 1 40.867 193.179 cm 0 g 0 G 0 g 0 G 1 0 0 1 -40.867 -193.179 cm BT /F20 8.2889 Tf 40.867 182.718 Td [(and)-256(the)-257(empirical)-257(Bayesian)-256(method)-257(in)-256(the)-257(standard)-256(error)-257(estimates)-256(for)-257(the)-256(regression)-257(function)-257(by)-256(simulation.)-257(The)-256(adaptive)]TJ ET 1 0 0 1 40.867 182.718 cm 0 g 0 G 0 g 0 G 1 0 0 1 -40.867 -182.718 cm BT /F20 8.2889 Tf 40.867 172.257 Td [(penalized)-225(spline)-225(smoothing)-225(method)-225(is)-225(also)-225(compared)-225(with)-226(the)-225(global)-225(penalized)-225(spline)-225(smoothing)-225(method,)-225(the)-225(global)-225(kernel)]TJ ET 1 0 0 1 40.867 172.257 cm 0 g 0 G 0 g 0 G 1 0 0 1 -40.867 -172.257 cm BT /F20 8.2889 Tf 40.867 161.796 Td [(smoothing)-242(method)-242(and)-243(the)-242(local)-242(kernel)-242(smoothing)-242(method.)-243(Section)]TJ ET 1 0 0 1 299.123 161.796 cm 0 0 .4 rg 0 0 .4 RG 1 0 0 1 -299.123 -161.796 cm BT /F20 8.2889 Tf 299.123 161.796 Td [(5)]TJ ET 1 0 0 1 303.922 161.796 cm 0 g 0 G 1 0 0 1 -303.922 -161.796 cm BT /F20 8.2889 Tf 305.93 161.796 Td 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1 0 0 1 37.134 534.147 cm 0 g 0 G 0 g 0 G 1 0 0 1 -37.134 -534.147 cm BT /F20 8.2889 Tf 37.134 523.686 Td [(variance\025covariance)-330(matrices)]TJ/F186 9.0859 Tf 116.56 0 Td [(\006)]TJ/F39 5.8022 Tf 7.405 -1.434 Td [(j)]TJ/F183 9.5641 Tf 2.175 1.434 Td [(;)]TJ/F39 8.2889 Tf 4.759 0 Td [(j)]TJ/F182 9.5641 Tf 6.755 0 Td [(D)]TJ/F20 8.2889 Tf 11.82 0 Td [(1)]TJ/F183 9.5641 Tf 4.799 0 Td [(;)-167(:)-166(:)-167(:)-167(;)]TJ/F39 8.2889 Tf 22.192 0 Td [(N)]TJ/F20 8.2889 Tf 6.552 0 Td [(,)-330(are)-330(known.)-331(As)-330(we)-330(have)-330(indicated)-330(above,)-331(in)-330(order)-330(to)-330(focus)-330(on)-330(the)-330(role)-330(of)]TJ ET 1 0 0 1 37.134 523.686 cm 0 g 0 G 0 g 0 G 1 0 0 1 -37.134 -523.686 cm BT /F20 8.2889 Tf 37.134 513.226 Td [(the)-238(complexity)-239(parameters)]TJ/F186 9.5641 Tf 104.804 0 Td [(\022)]TJ/F20 8.2889 Tf 4.571 0 Td [(,)-238(we)-239(will)-238(further)-238(simplify)-239(our)-238(situation)-238(by)-239(assuming)-238(that)-238(the)-239(str)1(uctural)-239(parameters)]TJ/F186 9.5641 Tf 313.287 0 Td [(\014)]TJ/F20 8.2889 Tf 7.705 0 Td [(and)]TJ/F186 9.5641 Tf 16.224 0 Td [(\015)]TJ/F20 8.2889 Tf 7.608 0 Td [(are)]TJ ET 1 0 0 1 37.134 513.226 cm 0 g 0 G 0 g 0 G 1 0 0 1 -37.134 -513.226 cm BT /F20 8.2889 Tf 37.134 502.765 Td [(either)-250(known)-250(or)-250(are)-250(not)-250(present)-250(in)-250(the)-250(problem)-250(at)-250(hand.)]TJ ET 1 0 0 1 37.134 502.765 cm 0 g 0 G 0 g 0 G 1 0 0 1 -37.134 -502.765 cm BT /F20 8.2889 Tf 49.089 492.331 Td [(Conditional)-231(on)-231(current)-230(values)-231(for)]TJ/F186 9.5641 Tf 126.878 0 Td [(\022)]TJ/F20 8.2889 Tf 4.572 0 Td [(,)-231(and)-231(consistent)-230(with)-231(the)-231(assumption)-231(of)-231(multinormally)-230(distributed)-231(residual)-231(vectors)]TJ/F186 9.5641 Tf 314.552 0 Td [(\017)]TJ/F39 5.8022 Tf 4.18 -1.434 Td [(j)]TJ/F20 8.2889 Tf 2.175 1.434 Td [(,)]TJ ET 1 0 0 1 37.134 492.331 cm 0 g 0 G 0 g 0 G 1 0 0 1 -37.134 -492.331 cm BT /F20 8.2889 Tf 37.134 481.871 Td [(we)-250(employ)-250(in)-250(the)-250(analyses)-250(reported)-250(in)-250(this)-250(paper)-250(the)-250(criterion)]TJ ET 1 0 0 1 37.134 481.871 cm 0 g 0 G 0 g 0 G 1 0 0 1 -37.134 -481.871 cm BT /F39 8.2889 Tf 61.044 458.865 Td [(H)]TJ/F183 9.5641 Tf 6.602 0 Td [(.)]TJ/F135 8.2889 Tf 3.568 0 Td [(c)]TJ/F39 5.8022 Tf 4.136 -1.434 Td [(j)]TJ/F182 9.5641 Tf 2.175 1.434 Td [(j)]TJ/F186 9.5641 Tf 2.735 0 Td [(\022)]TJ/F183 9.5641 Tf 4.572 0 Td [(;)]TJ/F135 8.2889 Tf 4.759 0 Td [(y)]TJ/F39 5.8022 Tf 4.51 -2.084 Td [(j)]TJ/F183 9.5641 Tf 2.174 2.084 Td [(/)]TJ/F182 9.5641 Tf 6.225 0 Td [(D)-278(k)]TJ/F135 8.2889 Tf 14.879 0 Td [(y)]TJ/F39 5.8022 Tf 4.509 -2.084 Td [(j)]TJ/F182 9.5641 Tf 4.301 2.084 Td [(\000)]TJ/F135 8.2889 Tf 9.585 0 Td [(x)]TJ/F183 9.5641 Tf 4.658 0 Td [(.)]TJ/F135 8.2889 Tf 3.568 0 Td [(t)]TJ/F39 5.8022 Tf 3.299 -1.434 Td [(j)]TJ/F182 9.5641 Tf 2.175 1.434 Td [(j)]TJ/F135 8.2889 Tf 2.735 0 Td [(c)]TJ/F39 5.8022 Tf 4.136 -1.434 Td [(j)]TJ/F183 9.5641 Tf 2.175 1.434 Td [(/)]TJ/F182 9.5641 Tf 3.567 0 Td [(k)]TJ/F20 5.8022 Tf 4.763 3.95 Td [(2)]TJ/F182 9.5641 Tf 5.983 -3.95 Td [(C)]TJ/F199 9.5641 Tf 9.585 13.017 Td [(Z)]TJ/F183 9.5641 Tf 11.025 -13.017 Td [(\025.)]TJ/F39 8.2889 Tf 8.799 0 Td [(t)]TJ/F183 9.5641 Tf 3.643 0 Td [(/)]TJ/F182 9.5641 Tf 3.567 0 Td [(T)]TJ/F39 8.2889 Tf 3.185 0 Td [(Lx)]TJ/F183 9.5641 Tf 7.999 0 Td [(.)]TJ/F39 8.2889 Tf 3.567 0 Td [(t)]TJ/F182 9.5641 Tf 3.643 0 Td [(j)]TJ/F135 8.2889 Tf 2.735 0 Td [(c)]TJ/F39 5.8022 Tf 4.136 -1.434 Td [(j)]TJ/F183 9.5641 Tf 2.175 1.434 Td [(/)]TJ/F182 9.5641 Tf 3.568 0 Td [(U)]TJ/F20 5.8022 Tf 3.185 3.95 Td [(2)]TJ/F20 8.2889 Tf 3.857 -3.95 Td [(d)]TJ/F39 8.2889 Tf 4.932 0 Td [(t)]TJ/F183 9.5641 Tf 3.643 0 Td [(;)]TJ/F20 8.2889 Tf 236.384 0 Td [(\0502\051)]TJ ET 1 0 0 1 37.134 458.865 cm 0 g 0 G 0 g 0 G 1 0 0 1 -37.134 -458.865 cm BT /F20 8.2889 Tf 37.134 437.813 Td [(where)-250(vector)]TJ/F135 8.2889 Tf 52.419 0 Td [(y)]TJ/F39 5.8022 Tf 4.509 -2.085 Td [(j)]TJ/F20 8.2889 Tf 4.247 2.085 Td [(contains)-250(the)]TJ/F39 8.2889 Tf 48.904 0 Td [(n)]TJ/F39 5.8022 Tf 4.791 -1.435 Td [(j)]TJ/F20 8.2889 Tf 4.247 1.435 Td [(values)]TJ/F39 8.2889 Tf 26.375 0 Td [(y)]TJ/F39 5.8022 Tf 4.344 -1.435 Td [(ij)]TJ/F20 8.2889 Tf 5.906 1.435 Td [(and)]TJ/F135 8.2889 Tf 16.321 0 Td [(x)]TJ/F183 9.5641 Tf 4.658 0 Td [(.)]TJ/F135 8.2889 Tf 3.568 0 Td [(t)]TJ/F39 5.8022 Tf 3.299 -1.435 Td [(j)]TJ/F182 9.5641 Tf 2.175 1.435 Td [(j)]TJ/F135 8.2889 Tf 2.735 0 Td [(c)]TJ/F39 5.8022 Tf 4.136 -1.435 Td [(j)]TJ/F183 9.5641 Tf 2.175 1.435 Td [(/)]TJ/F20 8.2889 Tf 5.64 0 Td [(contains)-250(the)-250(corresponding)-250(values)]TJ/F39 8.2889 Tf 132.488 0 Td [(x)]TJ/F183 9.5641 Tf 4.07 0 Td [(.)]TJ/F39 8.2889 Tf 3.568 0 Td [(t)]TJ/F39 5.8022 Tf 2.934 -1.435 Td [(ij)]TJ/F182 9.5641 Tf 3.834 1.435 Td [(j)]TJ/F135 8.2889 Tf 2.736 0 Td [(c)]TJ/F39 5.8022 Tf 4.136 -1.435 Td [(j)]TJ/F183 9.5641 Tf 2.175 1.435 Td [(/)]TJ/F20 8.2889 Tf 3.567 0 Td [(,)-250(and)-250(where)]TJ ET 1 0 0 1 37.134 437.813 cm 0 g 0 G 0 g 0 G 1 0 0 1 -37.134 -437.813 cm BT /F182 9.5641 Tf 61.044 419.851 Td [(k)]TJ/F135 8.2889 Tf 4.763 0 Td [(y)]TJ/F39 5.8022 Tf 4.509 -2.084 Td [(j)]TJ/F182 9.5641 Tf 4.301 2.084 Td [(\000)]TJ/F135 8.2889 Tf 9.585 0 Td [(x)]TJ/F183 9.5641 Tf 4.658 0 Td [(.)]TJ/F135 8.2889 Tf 3.568 0 Td [(t)]TJ/F39 5.8022 Tf 3.299 -1.434 Td [(j)]TJ/F182 9.5641 Tf 2.175 1.434 Td [(j)]TJ/F135 8.2889 Tf 2.735 0 Td [(c)]TJ/F39 5.8022 Tf 4.136 -1.434 Td [(j)]TJ/F183 9.5641 Tf 2.175 1.434 Td [(/)]TJ/F182 9.5641 Tf 3.567 0 Td [(k)]TJ/F20 5.8022 Tf 4.763 3.95 Td [(2)]TJ/F182 9.5641 Tf 6.514 -3.95 Td [(D)-278(T)]TJ/F135 8.2889 Tf 13.302 0 Td [(y)]TJ/F39 5.8022 Tf 4.509 -2.084 Td [(j)]TJ/F182 9.5641 Tf 4.3 2.084 Td [(\000)]TJ/F135 8.2889 Tf 9.586 0 Td [(x)]TJ/F183 9.5641 Tf 4.658 0 Td [(.)]TJ/F135 8.2889 Tf 3.567 0 Td [(t)]TJ/F39 5.8022 Tf 3.299 -1.434 Td [(j)]TJ/F182 9.5641 Tf 2.175 1.434 Td [(j)]TJ/F135 8.2889 Tf 2.736 0 Td [(c)]TJ/F39 5.8022 Tf 4.136 -1.434 Td [(j)]TJ/F183 9.5641 Tf 2.175 1.434 Td [(/)]TJ/F182 9.5641 Tf 3.567 0 Td [(U)]TJ/F182 6.6948 Tf 3.185 3.95 Td [(0)]TJ/F135 8.2889 Tf 2.306 -3.95 Td [(W)]TJ/F39 5.8022 Tf 8.62 -1.434 Td [(j)]TJ/F182 9.5641 Tf 2.175 1.434 Td [(T)]TJ/F135 8.2889 Tf 3.185 0 Td [(y)]TJ/F39 5.8022 Tf 4.509 -2.084 Td [(j)]TJ/F182 9.5641 Tf 4.3 2.084 Td [(\000)]TJ/F135 8.2889 Tf 9.586 0 Td [(x)]TJ/F183 9.5641 Tf 4.658 0 Td [(.)]TJ/F135 8.2889 Tf 3.567 0 Td [(t)]TJ/F39 5.8022 Tf 3.299 -1.434 Td [(j)]TJ/F182 9.5641 Tf 2.175 1.434 Td [(j)]TJ/F135 8.2889 Tf 2.736 0 Td [(c)]TJ/F39 5.8022 Tf 4.136 -1.434 Td [(j)]TJ/F183 9.5641 Tf 2.175 1.434 Td [(/)]TJ/F182 9.5641 Tf 3.567 0 Td [(U)]TJ ET 1 0 0 1 37.134 419.851 cm 0 g 0 G 0 g 0 G 1 0 0 1 -37.134 -419.851 cm BT /F20 8.2889 Tf 37.134 401.765 Td [(for)-306(some)-307(known)-306(order)]TJ/F39 8.2889 Tf 88.723 0 Td [(n)]TJ/F39 5.8022 Tf 4.791 -1.435 Td [(j)]TJ/F20 8.2889 Tf 4.716 1.435 Td [(weighting)-306(matrix)]TJ/F135 8.2889 Tf 69.212 0 Td [(W)]TJ/F39 5.8022 Tf 8.62 -1.435 Td [(j)]TJ/F20 8.2889 Tf 4.715 1.435 Td [(such)-307(as)]TJ/F135 8.2889 Tf 30.744 0 Td [(W)]TJ/F39 5.8022 Tf 8.62 -1.435 Td [(j)]TJ/F182 9.5641 Tf 6.032 1.435 Td [(D)]TJ/F186 9.0859 Tf 11.318 0 Td [(\006)]TJ/F182 6.6948 Tf 7.405 4.075 Td [(\000)]TJ/F20 5.8022 Tf 5.222 0 Td [(1)]TJ/F39 5.8022 Tf -5.222 -6.767 Td [(j)]TJ/F20 8.2889 Tf 9.079 2.692 Td [(.)-307(More)-306(generally,)-307(however,)-306(the)-307(loss)-306(function)-307(in)-306(the)-307(first)]TJ ET 1 0 0 1 37.134 401.765 cm 0 g 0 G 0 g 0 G 1 0 0 1 -37.134 -401.765 cm BT /F20 8.2889 Tf 37.134 391.304 Td [(term)-250(of)]TJ ET 1 0 0 1 67.272 391.304 cm 0 0 .4 rg 0 0 .4 RG 1 0 0 1 -67.272 -391.304 cm BT /F20 8.2889 Tf 67.272 391.304 Td [(\0502\051)]TJ ET 1 0 0 1 78.197 391.304 cm 0 g 0 G 1 0 0 1 -78.197 -391.304 cm BT /F20 8.2889 Tf 80.269 391.304 Td [(may)-250(be)-250(a)-250(negative)-250(log)-250(likelihood)-250(or)-250(any)-250(other)-250(suitable)-250(measure)-250(of)-250(lack)-250(of)-250(fit.)]TJ ET 1 0 0 1 37.134 391.304 cm 0 g 0 G 0 g 0 G 1 0 0 1 -37.134 -391.304 cm BT /F20 8.2889 Tf 49.089 380.871 Td [(Define)-250(order)]TJ/F39 8.2889 Tf 49.866 0 Td [(K)]TJ/F183 6.6948 Tf 5.106 -1.435 Td [(\026)]TJ/F20 8.2889 Tf 7.163 1.435 Td [(matrix)]TJ ET 1 0 0 1 37.134 380.871 cm 0 g 0 G 0 g 0 G 1 0 0 1 -37.134 -380.871 cm BT /F135 8.2889 Tf 61.044 358.906 Td [(R)]TJ/F182 9.5641 Tf 8.144 0 Td [(D)]TJ/F199 9.5641 Tf 10.117 13.017 Td [(Z)]TJ/F183 9.5641 Tf 11.024 -13.017 Td [(\025.)]TJ/F39 8.2889 Tf 8.799 0 Td [(t)]TJ/F183 9.5641 Tf 3.643 0 Td [(/)]TJ/F182 9.5641 Tf 3.567 0 Td [(T)]TJ/F39 8.2889 Tf 3.185 0 Td [(L)]TJ/F186 9.5641 Tf 3.929 0 Td [(\036)]TJ/F183 9.5641 Tf 5.863 0 Td [(.)]TJ/F39 8.2889 Tf 3.567 0 Td [(t)]TJ/F183 9.5641 Tf 3.643 0 Td [(/)]TJ/F182 9.5641 Tf 3.568 0 Td [(UT)]TJ/F39 8.2889 Tf 6.369 0 Td [(L)]TJ/F186 9.5641 Tf 3.929 0 Td [(\036)]TJ/F183 9.5641 Tf 5.863 0 Td [(.)]TJ/F39 8.2889 Tf 3.567 0 Td [(t)]TJ/F183 9.5641 Tf 3.643 0 Td [(/)]TJ/F182 9.5641 Tf 3.568 0 Td [(U)]TJ/F182 6.6948 Tf 3.185 3.95 Td [(0)]TJ/F20 8.2889 Tf 2.305 -3.95 Td [(d)]TJ/F39 8.2889 Tf 4.932 0 Td [(t)]TJ/F183 9.5641 Tf 3.643 0 Td [(;)]TJ ET 1 0 0 1 37.134 358.906 cm 0 g 0 G 0 g 0 G 1 0 0 1 -37.134 -358.906 cm BT /F20 8.2889 Tf 37.134 337.854 Td [(and)-252(let)]TJ/F186 9.0859 Tf 28.356 0 Td [(\010)]TJ/F39 5.8022 Tf 6.851 -1.435 Td [(j)]TJ/F20 8.2889 Tf 4.264 1.435 Td [(be)-252(the)]TJ/F39 8.2889 Tf 25.812 0 Td [(n)]TJ/F39 5.8022 Tf 4.791 -1.435 Td [(j)]TJ/F182 9.5641 Tf 4.317 1.435 Td [(\002)]TJ/F39 8.2889 Tf 9.641 0 Td [(K)]TJ/F183 6.6948 Tf 5.106 -1.435 Td [(\026)]TJ/F20 8.2889 Tf 7.18 1.435 Td [(matrix)-252(with)-252(the)]TJ/F39 8.2889 Tf 62.018 0 Td [(ik)]TJ/F20 8.2889 Tf 6.681 0 Td [(th)-252(element)]TJ/F183 9.5641 Tf 43.649 0 Td [(\036)]TJ/F39 5.8022 Tf 5.518 -1.435 Td [(k)]TJ/F183 9.5641 Tf 3.516 1.435 Td [(.)]TJ/F39 8.2889 Tf 3.567 0 Td [(t)]TJ/F39 5.8022 Tf 2.934 -1.435 Td [(ij)]TJ/F183 9.5641 Tf 3.835 1.435 Td [(/)]TJ/F20 8.2889 Tf 3.567 0 Td [(.)-252(By)-252(minimizing)]TJ/F39 8.2889 Tf 61.753 0 Td [(H)]TJ/F183 9.5641 Tf 6.602 0 Td [(.)]TJ/F135 8.2889 Tf 3.567 0 Td [(c)]TJ/F39 5.8022 Tf 4.136 -1.435 Td [(j)]TJ/F182 9.5641 Tf 2.175 1.435 Td [(j)]TJ/F183 9.5641 Tf 2.736 0 Td [(\025.)]TJ/F39 8.2889 Tf 8.799 0 Td [(t)]TJ/F183 9.5641 Tf 3.642 0 Td [(/;)]TJ/F135 8.2889 Tf 8.328 0 Td [(y)]TJ/F39 5.8022 Tf 4.509 -2.085 Td [(j)]TJ/F183 9.5641 Tf 2.175 2.085 Td [(/)]TJ/F20 8.2889 Tf 3.567 0 Td [(,)-252(we)-252(can)-252(estimate)-252(the)-252(coefficient)]TJ ET 1 0 0 1 37.134 337.854 cm 0 g 0 G 0 g 0 G 1 0 0 1 -37.134 -337.854 cm BT /F20 8.2889 Tf 37.134 327.393 Td [(vector)]TJ/F135 8.2889 Tf 26.085 0 Td [(c)]TJ/F39 5.8022 Tf 4.136 -1.435 Td [(j)]TJ/F20 8.2889 Tf 2.175 1.435 Td [(,)-250(and)-250(in)-250(the)-250(particular)-250(case)]TJ ET 1 0 0 1 171.806 327.393 cm 0 0 .4 rg 0 0 .4 RG 1 0 0 1 -171.806 -327.393 cm BT /F20 8.2889 Tf 171.806 327.393 Td [(\0502\051)]TJ ET 1 0 0 1 182.731 327.393 cm 0 g 0 G 1 0 0 1 -182.731 -327.393 cm BT /F20 8.2889 Tf 184.803 327.393 Td [(the)-250(optimal)-250(value)-250(written)-250(analytically)-250(as)]TJ ET 1 0 0 1 37.134 327.393 cm 0 g 0 G 0 g 0 G 1 0 0 1 -37.134 -327.393 cm BT /F182 9.5641 Tf 61.52 308.341 Td [(O)]TJ/F135 8.2889 Tf -0.476 -0.252 Td [(c)]TJ/F39 5.8022 Tf 4.136 -1.435 Td [(j)]TJ/F183 9.5641 Tf 2.175 1.435 Td [(.\025.)]TJ/F39 8.2889 Tf 12.367 0 Td [(t)]TJ/F183 9.5641 Tf 3.643 0 Td [(/;)]TJ/F135 8.2889 Tf 8.327 0 Td [(y)]TJ/F39 5.8022 Tf 4.509 -2.084 Td [(j)]TJ/F183 9.5641 Tf 2.175 2.084 Td [(/)]TJ/F182 9.5641 Tf 6.224 0 Td [(D)-278(T)]TJ/F186 9.0859 Tf 13.301 0 Td [(\010)]TJ/F182 6.6948 Tf 6.851 3.95 Td [(0)]TJ/F39 5.8022 Tf 0 -6.523 Td [(j)]TJ/F135 8.2889 Tf 2.306 2.573 Td [(W)]TJ/F39 5.8022 Tf 8.62 -1.435 Td [(j)]TJ/F186 9.0859 Tf 2.175 1.435 Td [(\010)]TJ/F39 5.8022 Tf 6.851 -1.435 Td [(j)]TJ/F182 9.5641 Tf 4.3 1.435 Td [(C)]TJ/F135 8.2889 Tf 9.586 0 Td [(R)]TJ/F182 9.5641 Tf 5.487 0 Td [(U)]TJ/F182 6.6948 Tf 3.185 3.95 Td [(\000)]TJ/F20 5.8022 Tf 5.222 0 Td [(1)]TJ/F186 9.0859 Tf 3.857 -3.95 Td [(\010)]TJ/F182 6.6948 Tf 6.851 3.95 Td [(0)]TJ/F39 5.8022 Tf 0 -6.523 Td [(j)]TJ/F135 8.2889 Tf 2.306 2.573 Td [(W)]TJ/F39 5.8022 Tf 8.62 -1.435 Td [(j)]TJ/F135 8.2889 Tf 2.175 1.435 Td [(y)]TJ/F39 5.8022 Tf 4.509 -2.084 Td [(j)]TJ/F183 9.5641 Tf 2.175 2.084 Td [(:)]TJ/F20 8.2889 Tf 289.484 0 Td [(\0503\051)]TJ ET 1 0 0 1 37.134 308.089 cm 0 g 0 G 0 g 0 G 1 0 0 1 -37.134 -308.089 cm BT /F20 8.2889 Tf 37.134 290.338 Td [(When)]TJ/F199 9.5641 Tf 25.384 7.704 Td [(R)]TJ/F182 9.5641 Tf 6.236 -7.704 Td [(T)]TJ/F39 8.2889 Tf 3.184 0 Td [(L)]TJ/F186 9.5641 Tf 3.929 0 Td [(\036)]TJ/F183 9.5641 Tf 5.863 0 Td [(.)]TJ/F39 8.2889 Tf 3.567 0 Td [(t)]TJ/F183 9.5641 Tf 3.643 0 Td [(/)]TJ/F182 9.5641 Tf 3.568 0 Td [(UT)]TJ/F39 8.2889 Tf 6.37 0 Td [(L)]TJ/F186 9.5641 Tf 3.928 0 Td [(\036)]TJ/F183 9.5641 Tf 5.863 0 Td [(.)]TJ/F39 8.2889 Tf 3.568 0 Td [(t)]TJ/F183 9.5641 Tf 3.643 0 Td [(/)]TJ/F182 9.5641 Tf 3.567 0 Td [(U)]TJ/F182 6.6948 Tf 3.185 3.472 Td [(0)]TJ/F20 8.2889 Tf 2.306 -3.472 Td [(d)]TJ/F39 8.2889 Tf 4.931 0 Td [(t)]TJ/F20 8.2889 Tf 5.984 0 Td [(is)-282(an)-283(identity)-282(matrix,)-283(and)]TJ/F183 9.5641 Tf 98.961 0 Td [(\025.)]TJ/F39 8.2889 Tf 8.799 0 Td [(t)]TJ/F183 9.5641 Tf 3.643 0 Td [(/)]TJ/F20 8.2889 Tf 5.908 0 Td [(is)-282(a)-283(step)-282(function)-283(defined)-282(as)]TJ/F183 9.5641 Tf 109.508 0 Td [(\025.)]TJ/F39 8.2889 Tf 8.799 0 Td [(t)]TJ/F183 9.5641 Tf 3.643 0 Td [(/)]TJ/F182 9.5641 Tf 6.913 0 Td [(D)]TJ/F183 9.5641 Tf 10.805 0 Td [(\025)]TJ/F39 5.8022 Tf 5.232 -1.434 Td [(k)]TJ/F20 8.2889 Tf 5.109 1.434 Td [(when)]TJ/F39 8.2889 Tf 23.12 0 Td [(t)]TJ/F182 9.5641 Tf 6.989 0 Td [(2)-350(f)]TJ/F39 8.2889 Tf 12.9 0 Td [(t)]TJ/F182 9.5641 Tf 6.988 0 Td [(V)]TJ/F183 9.5641 Tf 5.976 0 Td [(\036)]TJ/F39 5.8022 Tf 5.518 -1.434 Td [(k)]TJ/F183 9.5641 Tf 3.515 1.434 Td [(.)]TJ/F39 8.2889 Tf 3.568 0 Td [(t)]TJ/F183 9.5641 Tf 3.643 0 Td [(/)-350(>)]TJ/F20 8.2889 Tf 17.718 0 Td [(0)]TJ/F182 9.5641 Tf 4.799 0 Td [(g)]TJ/F20 8.2889 Tf 3.539 0 Td [(,)]TJ ET 1 0 0 1 37.134 290.338 cm 0 g 0 G 0 g 0 G 1 0 0 1 -37.134 -290.338 cm BT /F39 8.2889 Tf 37.134 279.878 Td [(k)]TJ/F182 9.5641 Tf 6.967 0 Td [(D)]TJ/F20 8.2889 Tf 10.116 0 Td [(1)]TJ/F183 9.5641 Tf 4.8 0 Td [(;)-167(:)-166(:)-167(:)-167(;)]TJ/F39 8.2889 Tf 22.191 0 Td [(K)]TJ/F183 6.6948 Tf 5.106 -1.435 Td [(\026)]TJ/F20 8.2889 Tf 5.091 1.435 Td [(,)-250(then)-250(the)-250(criterion)]TJ ET 1 0 0 1 164.521 279.878 cm 0 0 .4 rg 0 0 .4 RG 1 0 0 1 -164.521 -279.878 cm BT /F20 8.2889 Tf 164.521 279.878 Td [(\0502\051)]TJ ET 1 0 0 1 175.446 279.878 cm 0 g 0 G 1 0 0 1 -175.446 -279.878 cm BT /F20 8.2889 Tf 177.518 279.878 Td [(reduces)-250(to)]TJ ET 1 0 0 1 37.134 279.878 cm 0 g 0 G 0 g 0 G 1 0 0 1 -37.134 -279.878 cm BT /F39 8.2889 Tf 61.044 253.125 Td [(H)]TJ/F182 6.6948 Tf 6.602 3.95 Td [(\003)]TJ/F183 9.5641 Tf 3.986 -3.95 Td [(.)]TJ/F135 8.2889 Tf 3.568 0 Td [(c)]TJ/F39 5.8022 Tf 4.136 -1.435 Td [(j)]TJ/F182 9.5641 Tf 2.175 1.435 Td [(j)]TJ/F183 9.5641 Tf 2.735 0 Td [(\025.)]TJ/F39 8.2889 Tf 8.799 0 Td [(t)]TJ/F183 9.5641 Tf 3.643 0 Td [(/;)]TJ/F135 8.2889 Tf 8.327 0 Td [(y)]TJ/F39 5.8022 Tf 4.509 -2.084 Td [(j)]TJ/F183 9.5641 Tf 2.175 2.084 Td [(/)]TJ/F182 9.5641 Tf 6.224 0 Td [(D)-278(k)]TJ/F135 8.2889 Tf 14.88 0 Td [(y)]TJ/F39 5.8022 Tf 4.509 -2.084 Td [(j)]TJ/F182 9.5641 Tf 4.3 2.084 Td [(\000)]TJ/F135 8.2889 Tf 9.586 0 Td [(x)]TJ/F183 9.5641 Tf 4.658 0 Td [(.)]TJ/F135 8.2889 Tf 3.567 0 Td [(t)]TJ/F39 5.8022 Tf 3.299 -1.435 Td [(j)]TJ/F182 9.5641 Tf 2.175 1.435 Td [(j)]TJ/F135 8.2889 Tf 2.736 0 Td [(c)]TJ/F39 5.8022 Tf 4.136 -1.435 Td [(j)]TJ/F183 9.5641 Tf 2.175 1.435 Td [(/)]TJ/F182 9.5641 Tf 3.567 0 Td [(k)]TJ/F20 5.8022 Tf 4.763 3.95 Td [(2)]TJ/F182 9.5641 Tf 5.983 -3.95 Td [(C)]TJ/F39 5.8022 Tf 12.347 12.29 Td [(K)]TJ/F183 5.7385 Tf 3.575 -1.004 Td [(\026)]TJ/F199 9.5641 Tf -6.337 -2.2 Td [(X)]TJ/F39 5.8022 Tf 0.968 -19.543 Td [(k)]TJ/F182 6.6948 Tf 3.017 0 Td [(D)]TJ/F20 5.8022 Tf 5.222 0 Td [(1)]TJ/F183 9.5641 Tf 5.92 10.457 Td [(\025)]TJ/F39 5.8022 Tf 5.232 -1.435 Td [(k)]TJ/F39 8.2889 Tf 3.515 1.435 Td [(c)]TJ/F20 5.8022 Tf 4.315 3.95 Td [(2)]TJ/F39 5.8022 Tf -0.585 -6.523 Td [(jk)]TJ/F183 9.5641 Tf 5.192 2.573 Td [(;)]TJ ET 1 0 0 1 37.134 253.125 cm 0 g 0 G 0 g 0 G 1 0 0 1 -37.134 -253.125 cm BT /F20 8.2889 Tf 37.134 228.944 Td [(which)-250(is)-250(the)-250(adaptive)-250(smoothing)-250(criterion)-250(proposed)-250(by)]TJ ET 1 0 0 1 247.753 228.944 cm 0 0 .4 rg 0 0 .4 RG 1 0 0 1 -247.753 -228.944 cm BT /F20 8.2889 Tf 247.753 228.944 Td [(Ruppert)]TJ ET 1 0 0 1 278.621 228.944 cm 0 g 0 G 1 0 0 1 2.072 0 cm 0 0 .4 rg 0 0 .4 RG 1 0 0 1 -280.693 -228.944 cm BT /F20 8.2889 Tf 280.693 228.944 Td [(and)]TJ ET 1 0 0 1 294.942 228.944 cm 0 g 0 G 1 0 0 1 2.072 0 cm 0 0 .4 rg 0 0 .4 RG 1 0 0 1 -297.014 -228.944 cm BT /F20 8.2889 Tf 297.014 228.944 Td [(Carroll)]TJ ET 1 0 0 1 322.751 228.944 cm 0 g 0 G 1 0 0 1 2.072 0 cm 0 0 .4 rg 0 0 .4 RG 0 g 0 G 1 0 0 1 -324.823 -228.944 cm BT /F20 8.2889 Tf 324.823 228.944 Td [(\050)]TJ ET 1 0 0 1 327.89 228.944 cm 0 0 .4 rg 0 0 .4 RG 1 0 0 1 -327.89 -228.944 cm BT /F20 8.2889 Tf 327.89 228.944 Td [(2000)]TJ ET 1 0 0 1 347.087 228.944 cm 0 g 0 G 1 0 0 1 -347.087 -228.944 cm BT /F20 8.2889 Tf 347.087 228.944 Td [(\051.)]TJ ET 1 0 0 1 37.134 228.944 cm 0 g 0 G 0 g 0 G 1 0 0 1 -37.134 -228.944 cm BT /F20 8.2889 Tf 49.089 217.151 Td [(The)-410(optimal)-411(functional)-410(smoothing)-410(parameter)]TJ/F182 9.5641 Tf 181.271 1.913 Td [(O)]TJ/F183 9.5641 Tf -1.023 -1.913 Td [(\025.)]TJ/F39 8.2889 Tf 8.799 0 Td [(t)]TJ/F183 9.5641 Tf 3.642 0 Td [(/)]TJ/F20 8.2889 Tf 6.969 0 Td [(can)-410(be)-411(chosen)-410(by)-410(minimizing)-411(a)-410(complexity)-410(measure)-411(such)-410(as)-410(the)]TJ ET 1 0 0 1 37.134 217.151 cm 0 g 0 G 0 g 0 G 1 0 0 1 -37.134 -217.151 cm BT /F20 8.2889 Tf 37.134 206.69 Td [(generalized)-250(cross-validation)-250(\050GCV,)]TJ ET 1 0 0 1 170.153 206.69 cm 0 0 .4 rg 0 0 .4 RG 1 0 0 1 -170.153 -206.69 cm BT /F20 8.2889 Tf 170.153 206.69 Td [(Wahba,)]TJ ET 1 0 0 1 199.139 206.69 cm 0 g 0 G 1 0 0 1 2.072 0 cm 0 0 .4 rg 0 0 .4 RG 1 0 0 1 -201.211 -206.69 cm BT /F20 8.2889 Tf 201.211 206.69 Td [(1985)]TJ ET 1 0 0 1 220.408 206.69 cm 0 g 0 G 1 0 0 1 -220.408 -206.69 cm BT /F20 8.2889 Tf 220.408 206.69 Td [(\051)]TJ ET 1 0 0 1 37.134 206.69 cm 0 g 0 G 0 g 0 G 1 0 0 1 -37.134 -206.69 cm BT /F50 9.9626 Tf 61.044 184.826 Td [(GCV)]TJ/F183 9.5641 Tf 15.691 0 Td [(.\025.)]TJ/F39 8.2889 Tf 12.367 0 Td [(t)]TJ/F183 9.5641 Tf 3.643 0 Td [(//)]TJ/F182 9.5641 Tf 9.791 0 Td [(D)]TJ/F199 9.5641 Tf 10.117 13.428 Td [(\024)]TJ/F39 8.2889 Tf 23.43 -6.723 Td [(n)]TJ ET q 1 0 0 1 119.061 187.217 cm []0 d 0 J 0.44 w 0 0 m 38.835 0 l S Q BT /F50 9.9626 Tf 119.061 178.036 Td [(dfe)]TJ/F183 9.5641 Tf 15.691 0 Td [(.\025.)]TJ/F39 8.2889 Tf 12.366 0 Td [(t)]TJ/F183 9.5641 Tf 3.643 0 Td [(//)]TJ/F199 9.5641 Tf 8.33 20.218 Td [(\025)-167(\024)]TJ/F50 9.9626 Tf 13.215 -6.723 Td [(SSE)]TJ/F183 9.5641 Tf 15.691 0 Td [(.\025.)]TJ/F39 8.2889 Tf 12.366 0 Td [(t)]TJ/F183 9.5641 Tf 3.643 0 Td [(//)]TJ ET q 1 0 0 1 172.306 187.217 cm []0 d 0 J 0.44 w 0 0 m 38.835 0 l S Q BT /F50 9.9626 Tf 172.306 178.036 Td [(dfe)]TJ/F183 9.5641 Tf 15.691 0 Td [(.\025.)]TJ/F39 8.2889 Tf 12.366 0 Td [(t)]TJ/F183 9.5641 Tf 3.643 0 Td [(//)]TJ/F199 9.5641 Tf 8.331 20.218 Td [(\025)]TJ/F183 9.5641 Tf 6.806 -13.428 Td [(;)]TJ ET 1 0 0 1 37.134 184.826 cm 0 g 0 G 0 g 0 G 1 0 0 1 -37.134 -184.826 cm BT /F20 8.2889 Tf 37.134 162.32 Td [(where)]TJ/F39 8.2889 Tf 26.206 0 Td [(n)]TJ/F182 9.5641 Tf 7.447 0 Td [(D)]TJ/F199 9.5641 Tf 10.117 7.173 Td [(P)]TJ/F39 5.8022 Tf 9.994 -9.899 Td [(j)]TJ/F39 8.2889 Tf 3.769 2.726 Td [(n)]TJ/F39 5.8022 Tf 4.791 -1.435 Td [(j)]TJ/F20 8.2889 Tf 2.175 1.435 Td [(,)-235(both)-234(the)-235(degrees)-234(of)-235(freedom)-234(measure)]TJ/F50 9.9626 Tf 147.665 0 Td [(dfe)]TJ/F183 9.5641 Tf 15.691 0 Td [(.\025.)]TJ/F39 8.2889 Tf 12.367 0 Td [(t)]TJ/F183 9.5641 Tf 3.643 0 Td [(//)]TJ/F20 8.2889 Tf 7.135 0 Td [(,)-235(and)-234(the)-235(sum)-234(of)-235(squared)-234(errors)]TJ/F50 9.9626 Tf 119.566 0 Td [(SSE)]TJ/F183 9.5641 Tf 15.691 0 Td [(.\025.)]TJ/F39 8.2889 Tf 12.366 0 Td [(t)]TJ/F183 9.5641 Tf 3.643 0 Td [(//)]TJ/F20 8.2889 Tf 9.079 0 Td [(can)-235(be)-234(written)]TJ ET 1 0 0 1 37.134 162.32 cm 0 g 0 G 0 g 0 G 1 0 0 1 -37.134 -162.32 cm BT /F20 8.2889 Tf 37.134 149.447 Td [(in)-250(terms)-250(of)-250(the)-250(order)]TJ/F39 8.2889 Tf 80.824 0 Td [(n)]TJ/F39 5.8022 Tf 4.791 -1.435 Td [(j)]TJ/F20 8.2889 Tf 4.247 1.435 Td [(matrix)]TJ/F135 8.2889 Tf 27.627 0 Td [(A)]TJ/F39 5.8022 Tf 5.57 -1.435 Td [(j)]TJ/F183 9.5641 Tf 2.175 1.435 Td [(.\025.)]TJ/F39 8.2889 Tf 12.367 0 Td [(t)]TJ/F183 9.5641 Tf 3.642 0 Td [(//)]TJ/F182 9.5641 Tf 9.792 0 Td [(D)]TJ/F186 9.0859 Tf 10.117 0 Td [(\010)]TJ/F39 5.8022 Tf 6.85 -1.435 Td [(j)]TJ/F183 9.5641 Tf 2.175 1.435 Td [(.)]TJ/F186 9.0859 Tf 3.568 0 Td [(\010)]TJ/F182 6.6948 Tf 6.851 3.519 Td [(0)]TJ/F39 5.8022 Tf 0 -6.211 Td [(j)]TJ/F135 8.2889 Tf 2.305 2.692 Td [(W)]TJ/F39 5.8022 Tf 8.621 -1.435 Td [(j)]TJ/F186 9.0859 Tf 2.175 1.435 Td [(\010)]TJ/F39 5.8022 Tf 6.85 -1.435 Td [(j)]TJ/F182 9.5641 Tf 4.301 1.435 Td [(C)]TJ/F135 8.2889 Tf 9.585 0 Td [(R)]TJ/F183 9.5641 Tf 5.487 0 Td [(/)]TJ/F182 6.6948 Tf 3.568 3.471 Td [(\000)]TJ/F20 5.8022 Tf 5.222 0 Td [(1)]TJ/F186 9.0859 Tf 3.857 -3.471 Td [(\010)]TJ/F182 6.6948 Tf 6.851 3.519 Td [(0)]TJ/F39 5.8022 Tf 0 -6.211 Td [(j)]TJ/F135 8.2889 Tf 2.306 2.692 Td [(W)]TJ/F39 5.8022 Tf 8.62 -1.435 Td [(j)]TJ/F20 8.2889 Tf 2.175 1.435 Td [(:)]TJ ET 1 0 0 1 37.134 149.447 cm 0 g 0 G 0 g 0 G 1 0 0 1 -37.134 -149.447 cm BT /F50 9.9626 Tf 61.044 122.661 Td [(dfe)]TJ/F183 9.5641 Tf 15.691 0 Td [(.\025.)]TJ/F39 8.2889 Tf 12.367 0 Td [(t)]TJ/F183 9.5641 Tf 3.643 0 Td [(//)]TJ/F182 9.5641 Tf 9.791 0 Td [(D)]TJ/F39 8.2889 Tf 10.117 0 Td [(n)]TJ/F182 9.5641 Tf 6.916 0 Td [(\000)]TJ/F39 5.8022 Tf 14.059 11.105 Td [(N)]TJ/F199 9.5641 Tf -4.474 -2.019 Td [(X)]TJ/F39 5.8022 Tf 1.638 -19.543 Td [(j)]TJ/F182 6.6948 Tf 1.677 0 Td [(D)]TJ/F20 5.8022 Tf 5.222 0 Td [(1)]TJ/F50 9.9626 Tf 6.591 10.457 Td [(Tr)]TJ/F182 9.5641 Tf 10.46 0 Td [(T)]TJ/F135 8.2889 Tf 3.185 0 Td [(A)]TJ/F39 5.8022 Tf 5.57 -1.435 Td [(j)]TJ/F183 9.5641 Tf 2.175 1.435 Td [(.\025.)]TJ/F39 8.2889 Tf 12.367 0 Td [(t)]TJ/F183 9.5641 Tf 3.642 0 Td [(//)]TJ/F182 9.5641 Tf 7.135 0 Td [(UI)]TJ ET 1 0 0 1 37.134 122.661 cm 0 g 0 G 0 g 0 G 1 0 0 1 -37.134 -122.661 cm BT /F50 9.9626 Tf 61.044 89.311 Td [(SSE)]TJ/F183 9.5641 Tf 15.691 0 Td [(.\025.)]TJ/F39 8.2889 Tf 12.367 0 Td [(t)]TJ/F183 9.5641 Tf 3.643 0 Td [(//)]TJ/F182 9.5641 Tf 9.791 0 Td [(D)]TJ/F39 5.8022 Tf 14.59 11.105 Td [(N)]TJ/F199 9.5641 Tf -4.473 -2.019 Td [(X)]TJ/F39 5.8022 Tf 1.637 -19.543 Td [(j)]TJ/F182 6.6948 Tf 1.677 0 Td [(D)]TJ/F20 5.8022 Tf 5.222 0 Td [(1)]TJ/F182 9.5641 Tf 4.997 10.457 Td [(f)]TJ/F135 8.2889 Tf 3.539 0 Td [(y)]TJ/F182 6.6948 Tf 4.509 3.95 Td [(0)]TJ/F39 5.8022 Tf 0 -6.523 Td [(j)]TJ/F182 9.5641 Tf 2.306 2.573 Td [(T)]TJ/F39 8.2889 Tf 3.184 0 Td [(I)]TJ/F182 9.5641 Tf 5.296 0 Td [(\000)]TJ/F135 8.2889 Tf 9.585 0 Td [(A)]TJ/F183 9.5641 Tf 5.571 0 Td [(.\025.)]TJ/F39 8.2889 Tf 12.366 0 Td [(t)]TJ/F183 9.5641 Tf 3.643 0 Td [(//)]TJ/F182 9.5641 Tf 7.135 0 Td [(U)]TJ/F182 6.6948 Tf 3.185 3.95 Td [(0)]TJ/F182 9.5641 Tf 2.305 -3.95 Td [(T)]TJ/F39 8.2889 Tf 3.185 0 Td [(I)]TJ/F182 9.5641 Tf 5.296 0 Td [(\000)]TJ/F135 8.2889 Tf 9.585 0 Td [(A)]TJ/F183 9.5641 Tf 5.57 0 Td [(.\025.)]TJ/F39 8.2889 Tf 12.367 0 Td [(t)]TJ/F183 9.5641 Tf 3.643 0 Td [(//)]TJ/F182 9.5641 Tf 7.134 0 Td [(U)]TJ/F135 8.2889 Tf 3.185 0 Td [(y)]TJ/F39 5.8022 Tf 4.509 -2.085 Td [(j)]TJ/F182 9.5641 Tf 2.175 2.085 Td [(g)]TJ/F183 9.5641 Tf 3.539 0 Td [(:)]TJ ET 1 0 0 1 37.134 89.311 cm 0 g 0 G 0 g 0 G 1 0 0 1 -37.134 -89.311 cm BT /F20 8.2889 Tf 37.134 62.902 Td [(Note)-210(that)]TJ/F50 9.9626 Tf 37.248 0 Td [(GCV)]TJ/F183 9.5641 Tf 15.691 0 Td [(.\025.)]TJ/F39 8.2889 Tf 12.366 0 Td [(t)]TJ/F183 9.5641 Tf 3.643 0 Td [(//)]TJ/F20 8.2889 Tf 8.879 0 Td [(only)-210(depends)-211(on)]TJ/F183 9.5641 Tf 63.957 0 Td [(\025.)]TJ/F39 8.2889 Tf 8.799 0 Td [(t)]TJ/F183 9.5641 Tf 3.643 0 Td [(/)]TJ/F20 8.2889 Tf 3.567 0 Td [(;)]TJ/F182 9.5641 Tf 5.138 0.252 Td [(O)]TJ/F135 8.2889 Tf -0.476 -0.252 Td [(c)]TJ/F183 9.5641 Tf 4.136 0 Td [(.\025.)]TJ/F39 8.2889 Tf 12.367 0 Td [(t)]TJ/F183 9.5641 Tf 3.643 0 Td [(//)]TJ/F182 9.5641 Tf 9.791 0 Td [(D)]TJ/F183 9.5641 Tf 10.117 0 Td [(.)]TJ/F182 9.5641 Tf 4.043 0.252 Td [(O)]TJ/F135 8.2889 Tf -0.476 -0.252 Td [(c)]TJ/F20 5.8022 Tf 4.136 -1.435 Td [(1)]TJ/F183 9.5641 Tf 3.858 1.435 Td [(.\025.)]TJ/F39 8.2889 Tf 12.366 0 Td [(t)]TJ/F183 9.5641 Tf 3.643 0 Td [(//)]TJ/F182 6.6948 Tf 7.135 3.471 Td [(0)]TJ/F183 9.5641 Tf 2.306 -3.471 Td [(;)-167(:)-166(:)-167(:)-167(;)]TJ/F182 9.5641 Tf 22.667 0.252 Td [(O)]TJ/F135 8.2889 Tf -0.475 -0.252 Td [(c)]TJ/F39 5.8022 Tf 4.136 -1.435 Td [(N)]TJ/F183 9.5641 Tf 5.084 1.435 Td [(.\025.)]TJ/F39 8.2889 Tf 12.367 0 Td [(t)]TJ/F183 9.5641 Tf 3.643 0 Td [(//)]TJ/F182 6.6948 Tf 7.135 3.472 Td [(0)]TJ/F183 9.5641 Tf 2.305 -3.472 Td [(/)]TJ/F182 6.6948 Tf 3.568 3.472 Td [(0)]TJ/F20 8.2889 Tf 4.049 -3.472 Td [(has)-210(disappeared)-211(from)-210(the)-210(problem)-211(because)]TJ ET 1 0 0 1 37.134 62.902 cm 0 g 0 G 0 g 0 G 1 0 0 1 -37.134 -62.902 cm BT /F20 8.2889 Tf 37.134 52.441 Td [(the)-223(conditional)-223(solution)]TJ ET 1 0 0 1 129.497 52.441 cm 0 0 .4 rg 0 0 .4 RG 1 0 0 1 -129.497 -52.441 cm BT /F20 8.2889 Tf 129.497 52.441 Td [(\0503\051)]TJ ET 1 0 0 1 140.422 52.441 cm 0 g 0 G 1 0 0 1 -140.422 -52.441 cm BT /F20 8.2889 Tf 142.271 52.441 Td [(defines)-223(it)-223(as)-223(a)-223(function)-223(of)]TJ/F183 9.5641 Tf 96.07 0 Td [(\025.)]TJ/F39 8.2889 Tf 8.799 0 Td [(t)]TJ/F183 9.5641 Tf 3.643 0 Td [(/)]TJ/F20 8.2889 Tf 3.567 0 Td [(.)-223(We)-223(may)-223(call)]TJ/F182 9.5641 Tf 52.557 0.252 Td [(O)]TJ/F135 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0.252 Td [(O)]TJ/F135 8.2889 Tf -0.476 -0.252 Td [(c)]TJ/F183 9.5641 Tf 4.136 0 Td [(.\025.)]TJ/F39 8.2889 Tf 12.367 0 Td [(t)]TJ/F183 9.5641 Tf 3.643 0 Td [(//)]TJ/F20 8.2889 Tf 9.087 0 Td [(is)-236(the)-235(irrigation)]TJ ET 1 0 0 1 40.867 670.125 cm 0 g 0 G 0 g 0 G 1 0 0 1 -40.867 -670.125 cm BT /F20 8.2889 Tf 40.867 659.664 Td [(system)-276(that)-277(transports)-276(the)-276(water)-276(to)-277(various)-276(areas)-276(in)-277(the)-276(field,)-276(where)]TJ/F182 9.5641 Tf 263.793 0.174 Td [(O)]TJ/F39 8.2889 Tf -0.565 -0.174 Td [(c)]TJ/F39 5.8022 Tf 3.73 -1.435 Td [(jk)]TJ/F183 9.5641 Tf 5.192 1.435 Td [(.\025.)]TJ/F39 8.2889 Tf 12.366 0 Td [(t)]TJ/F183 9.5641 Tf 3.643 0 Td [(//)]TJ/F20 8.2889 Tf 9.425 0 Td [(sprinkles)-276(the)-277(growing)-276(seedlings,)-276(namely)-277(the)]TJ ET 1 0 0 1 40.867 659.664 cm 0 g 0 G 0 g 0 G 1 0 0 1 -40.867 -659.664 cm BT /F135 8.2889 Tf 40.867 649.203 Td [(y)]TJ/F39 5.8022 Tf 4.509 -2.084 Td [(j)]TJ/F20 8.2889 Tf 2.175 2.084 Td [('s,)-230(in)-229(sphere)-230(of)-230(influence)-229(of)-230(each)-229(basis)-230(function)]TJ/F39 8.2889 Tf 177.032 0 Td [(k)]TJ/F20 8.2889 Tf 4.31 0 Td [(.)-230(If)-229(our)-230(basis)-230(were)-229(of)-230(the)-230(Fourier)-229(type,)-230(then)-230(the)-229(locations)-230(would)-229(be)-230(defined)]TJ ET 1 0 0 1 40.867 649.203 cm 0 g 0 G 0 g 0 G 1 0 0 1 -40.867 -649.203 cm BT /F20 8.2889 Tf 40.867 638.742 Td [(in)-250(terms)-250(of)-250(frequency,)-250(if)-250(wavelets,)-250(in)-250(terms)-250(of)-250(locations)-250(on)-250(the)-250(frequency/time)-250(plane,)-250(and)-250(so)-250(on.)]TJ ET 1 0 0 1 40.867 638.742 cm 0 g 0 G 0 g 0 G 1 0 0 1 -40.867 -638.742 cm BT /F20 8.2889 Tf 52.822 628.418 Td [(In)-370(the)-370(adaptive)-370(spline)-370(smoothing)-369(framework,)-370(there)-370(are)-370(two)-370(kinds)-370(of)-370(parameters:)-370(the)-370(nuisance)-370(parameter)]TJ/F135 8.2889 Tf 415.13 0 Td [(c)]TJ/F39 5.8022 Tf 4.136 -1.435 Td [(j)]TJ/F20 8.2889 Tf 5.241 1.435 Td [(and)-370(the)]TJ ET 1 0 0 1 40.867 628.418 cm 0 g 0 G 0 g 0 G 1 0 0 1 -40.867 -628.418 cm BT /F20 8.2889 Tf 40.867 617.957 Td [(complexity)-246(parameter)]TJ/F186 9.5641 Tf 86.786 0 Td [(\022)]TJ/F20 8.2889 Tf 4.572 0 Td [(.)-246(They)-246(are)-246(estimated)-247(in)-246(two)-246(nested)-246(levels)-246(of)-246(optimization.)-247(In)-246(the)-246(inner)-246(optimization)-246(level)-246(where)-246(we)]TJ ET 1 0 0 1 40.867 617.957 cm 0 g 0 G 0 g 0 G 1 0 0 1 -40.867 -617.957 cm BT /F20 8.2889 Tf 40.867 607.496 Td [(minimize)]TJ/F39 8.2889 Tf 38.907 0 Td [(H)]TJ/F183 9.5641 Tf 6.602 0 Td [(.)]TJ/F135 8.2889 Tf 3.568 0 Td [(c)]TJ/F39 5.8022 Tf 4.136 -1.434 Td [(j)]TJ/F182 9.5641 Tf 2.175 1.434 Td [(j)]TJ/F186 9.5641 Tf 2.735 0 Td [(\022)]TJ/F183 9.5641 Tf 4.572 0 Td [(;)]TJ/F135 8.2889 Tf 4.759 0 Td [(y)]TJ/F39 5.8022 Tf 4.51 -2.084 Td [(j)]TJ/F183 9.5641 Tf 2.175 2.084 Td [(/)]TJ/F20 8.2889 Tf 3.567 0 Td [(,)-309(the)-309(nuisance)-309(parameter)]TJ/F135 8.2889 Tf 98.331 0 Td [(c)]TJ/F39 5.8022 Tf 4.136 -1.434 Td [(j)]TJ/F20 8.2889 Tf 4.736 1.434 Td [(is)-309(estimated)-309(conditional)-309(on)]TJ/F186 9.5641 Tf 107.332 0 Td [(\022)]TJ/F20 8.2889 Tf 7.133 0 Td [(and)]TJ/F135 8.2889 Tf 16.809 0 Td [(y)]TJ/F39 5.8022 Tf 4.51 -2.084 Td [(j)]TJ/F20 8.2889 Tf 2.174 2.084 Td [(,)-309(and)-309(thus)-309(the)-309(conditional)-309(estimate)]TJ/F182 9.5641 Tf 137.549 0.252 Td [(O)]TJ/F135 8.2889 Tf -0.476 -0.252 Td [(c)]TJ/F39 5.8022 Tf 4.136 -1.434 Td [(j)]TJ ET 1 0 0 1 40.867 607.496 cm 0 g 0 G 0 g 0 G 1 0 0 1 -40.867 -607.496 cm BT /F20 8.2889 Tf 40.867 595.774 Td [(can)-263(be)-263(treated)-262(as)-263(a)-263(function)-263(of)]TJ/F186 9.5641 Tf 117.004 0 Td [(\022)]TJ/F20 8.2889 Tf 6.75 0 Td [(and)]TJ/F135 8.2889 Tf 16.427 0 Td [(y)]TJ/F39 5.8022 Tf 4.51 -2.085 Td [(j)]TJ/F20 8.2889 Tf 2.174 2.085 Td [(.)-263(In)-263(the)-263(outer)-262(optimization)-263(level,)-263(denote)]TJ/F39 8.2889 Tf 153.51 0 Td [(F)]TJ/F183 9.5641 Tf 5.043 0 Td [(.)]TJ/F182 9.5641 Tf 4.043 0.252 Td [(O)]TJ/F135 8.2889 Tf -0.475 -0.252 Td [(c)]TJ/F183 9.5641 Tf 4.136 0 Td [(.)]TJ/F186 9.5641 Tf 3.567 0 Td [(\022)]TJ/F183 9.5641 Tf 4.572 0 Td [(;)]TJ/F135 8.2889 Tf 4.76 0 Td [(y)]TJ/F183 9.5641 Tf 4.509 0 Td [(/;)]TJ/F186 9.5641 Tf 8.327 0 Td [(\022)]TJ/F183 9.5641 Tf 4.572 0 Td [(;)]TJ/F135 8.2889 Tf 4.759 0 Td [(y)]TJ/F183 9.5641 Tf 4.509 0 Td [(/)]TJ/F20 8.2889 Tf 5.746 0 Td [(to)-263(be)-263(the)-263(outer)-262(optimization)]TJ ET 1 0 0 1 40.867 595.774 cm 0 g 0 G 0 g 0 G 1 0 0 1 -40.867 -595.774 cm BT /F20 8.2889 Tf 40.867 584.051 Td [(criterion,)-238(which)-238(is)]TJ/F50 9.9626 Tf 70.58 0 Td [(GCV)]TJ/F20 8.2889 Tf 17.664 0 Td [(in)-238(this)-238(article.)-238(The)-238(nuisance)-238(parameter)]TJ/F182 9.5641 Tf 147.829 0.252 Td [(O)]TJ/F135 8.2889 Tf -0.475 -0.252 Td [(c)]TJ/F20 8.2889 Tf 6.109 0 Td [(is)-238(removed)-238(from)-238(the)-238(parameter)-238(space)-238(as)-238(a)-238(function)-238(of)]TJ/F186 9.5641 Tf 203.751 0 Td [(\022)]TJ/F20 8.2889 Tf 6.545 0 Td [(and)]TJ ET 1 0 0 1 40.867 584.051 cm 0 g 0 G 0 g 0 G 1 0 0 1 -40.867 -584.051 cm BT /F135 8.2889 Tf 40.867 573.591 Td [(y)]TJ/F20 8.2889 Tf 4.509 0 Td [(.)-250(The)-250(complexity)-250(parameter)]TJ/F186 9.5641 Tf 106.951 0 Td [(\022)]TJ/F20 8.2889 Tf 6.643 0 Td [(is)-250(then)-250(estimated)-250(by)-250(minimizing)]TJ/F39 8.2889 Tf 125.369 0 Td [(F)]TJ/F183 9.5641 Tf 5.044 0 Td [(.)]TJ/F182 9.5641 Tf 4.043 0.252 Td [(O)]TJ/F135 8.2889 Tf -0.476 -0.252 Td [(c)]TJ/F183 9.5641 Tf 4.136 0 Td [(.)]TJ/F186 9.5641 Tf 3.568 0 Td [(\022)]TJ/F183 9.5641 Tf 4.571 0 Td [(;)]TJ/F135 8.2889 Tf 4.76 0 Td [(y)]TJ/F183 9.5641 Tf 4.509 0 Td [(/;)]TJ/F186 9.5641 Tf 8.327 0 Td [(\022)]TJ/F183 9.5641 Tf 4.572 0 Td [(;)]TJ/F135 8.2889 Tf 4.76 0 Td [(y)]TJ/F183 9.5641 Tf 4.509 0 Td [(/)]TJ/F20 8.2889 Tf 3.567 0 Td [(.)]TJ ET 1 0 0 1 40.867 573.591 cm 0 g 0 G 0 g 0 G 1 0 0 1 -40.867 -573.591 cm BT /F20 8.2889 Tf 52.822 563.266 Td [(The)-480(functional)-480(relationship)-480(between)-480(the)-480(nuisance)-480(and)-480(complexity)-480(parameters)-480(allows)-480(us)-480(to)-480(calculate)-480(the)-480(gradient)]TJ ET 1 0 0 1 40.867 563.266 cm 0 g 0 G 0 g 0 G 1 0 0 1 -40.867 -563.266 cm BT /F20 8.2889 Tf 40.867 552.805 Td [(and)-650(Hessian)-649(matrix)-650(analytically)-650(in)-650(both)-650(levels)-649(of)-650(optimization,)-650(which)-650(is)-650(essential)-650(for)-649(fast)-650(computation.)-652(Denote)]TJ ET 1 0 0 1 40.867 552.805 cm 0 g 0 G 0 g 0 G 1 0 0 1 -40.867 -552.805 cm BT /F20 8.2889 Tf 40.867 542.345 Td [(d)]TJ/F39 8.2889 Tf 4.931 0 Td [(F)]TJ/F183 9.5641 Tf 5.044 0 Td [(.)]TJ/F182 9.5641 Tf 4.043 0.252 Td [(O)]TJ/F135 8.2889 Tf -0.475 -0.252 Td [(c)]TJ/F183 9.5641 Tf 4.136 0 Td [(.)]TJ/F186 9.5641 Tf 3.567 0 Td [(\022)]TJ/F183 9.5641 Tf 4.572 0 Td [(;)]TJ/F135 8.2889 Tf 4.759 0 Td [(y)]TJ/F183 9.5641 Tf 4.51 0 Td [(/;)]TJ/F186 9.5641 Tf 8.327 0 Td [(\022)]TJ/F183 9.5641 Tf 4.571 0 Td [(;)]TJ/F135 8.2889 Tf 4.76 0 Td [(y)]TJ/F183 9.5641 Tf 4.509 0 Td [(/=)]TJ/F20 8.2889 Tf 8.063 0 Td [(d)]TJ/F186 9.5641 Tf 4.932 0 Td [(\022)]TJ/F20 8.2889 Tf 6.643 0 Td [(to)-250(be)-250(the)-250(total)-250(derivative)-250(of)]TJ/F39 8.2889 Tf 105.368 0 Td [(F)]TJ/F183 9.5641 Tf 5.044 0 Td [(.)]TJ/F182 9.5641 Tf 4.043 0.252 Td [(O)]TJ/F135 8.2889 Tf -0.476 -0.252 Td [(c)]TJ/F183 9.5641 Tf 4.136 0 Td [(.)]TJ/F186 9.5641 Tf 3.568 0 Td [(\022)]TJ/F183 9.5641 Tf 4.571 0 Td [(;)]TJ/F135 8.2889 Tf 4.76 0 Td [(y)]TJ/F183 9.5641 Tf 4.509 0 Td [(/;)]TJ/F186 9.5641 Tf 8.327 0 Td [(\022)]TJ/F183 9.5641 Tf 4.572 0 Td [(;)]TJ/F135 8.2889 Tf 4.76 0 Td [(y)]TJ/F183 9.5641 Tf 4.509 0 Td [(/)]TJ/F20 8.2889 Tf 5.639 0 Td [(with)-250(respect)-250(to)]TJ/F186 9.5641 Tf 59.564 0 Td [(\022)]TJ/F20 8.2889 Tf 4.572 0 Td [(,)-250(then)-250(we)-250(have)]TJ ET 1 0 0 1 40.867 542.345 cm 0 g 0 G 0 g 0 G 1 0 0 1 -40.867 -542.345 cm BT /F20 8.2889 Tf 65.972 528.058 Td [(d)]TJ/F39 8.2889 Tf 4.932 0 Td [(F)]TJ/F183 9.5641 Tf 5.044 0 Td [(.)]TJ/F182 9.5641 Tf 4.043 0.252 Td [(O)]TJ/F135 8.2889 Tf -0.476 -0.252 Td [(c)]TJ/F183 9.5641 Tf 4.137 0 Td [(.)]TJ/F186 9.5641 Tf 3.567 0 Td [(\022)]TJ/F183 9.5641 Tf 4.572 0 Td [(;)]TJ/F135 8.2889 Tf 4.759 0 Td [(y)]TJ/F183 9.5641 Tf 4.509 0 Td [(/;)]TJ/F186 9.5641 Tf 8.328 0 Td [(\022)]TJ/F183 9.5641 Tf 4.571 0 Td [(;)]TJ/F135 8.2889 Tf 4.76 0 Td [(y)]TJ/F183 9.5641 Tf 4.509 0 Td [(/)]TJ ET q 1 0 0 1 65.972 523.745 cm []0 d 0 J 0.44 w 0 0 m 60.822 0 l S Q BT /F20 8.2889 Tf 91.632 514.563 Td [(d)]TJ/F186 9.5641 Tf 4.932 0 Td [(\022)]TJ/F182 9.5641 Tf 34.083 6.791 Td [(D)]TJ/F183 9.5641 Tf 11.312 6.704 Td [(@)]TJ/F39 8.2889 Tf 5.145 0 Td [(F)]TJ/F183 9.5641 Tf 5.044 0 Td [(.)]TJ/F182 9.5641 Tf 4.043 0.252 Td [(O)]TJ/F135 8.2889 Tf -0.476 -0.252 Td [(c)]TJ/F183 9.5641 Tf 4.137 0 Td [(.)]TJ/F186 9.5641 Tf 3.567 0 Td [(\022)]TJ/F183 9.5641 Tf 4.572 0 Td [(;)]TJ/F135 8.2889 Tf 4.759 0 Td [(y)]TJ/F183 9.5641 Tf 4.509 0 Td [(/;)]TJ/F186 9.5641 Tf 8.328 0 Td [(\022)]TJ/F183 9.5641 Tf 4.571 0 Td [(;)]TJ/F135 8.2889 Tf 4.76 0 Td [(y)]TJ/F183 9.5641 Tf 4.509 0 Td [(/)]TJ ET q 1 0 0 1 141.959 523.745 cm []0 d 0 J 0.44 w 0 0 m 61.036 0 l S Q BT /F183 9.5641 Tf 167.618 514.563 Td [(@)]TJ/F186 9.5641 Tf 5.145 0 Td [(\022)]TJ/F182 9.5641 Tf 33.552 6.791 Td [(C)]TJ/F183 9.5641 Tf 10.781 6.704 Td [(@)]TJ/F39 8.2889 Tf 5.146 0 Td [(F)]TJ/F183 9.5641 Tf 5.043 0 Td [(.)]TJ/F182 9.5641 Tf 4.043 0.252 Td [(O)]TJ/F135 8.2889 Tf -0.475 -0.252 Td [(c)]TJ/F183 9.5641 Tf 4.136 0 Td [(.)]TJ/F186 9.5641 Tf 3.567 0 Td [(\022)]TJ/F183 9.5641 Tf 4.572 0 Td [(;)]TJ/F135 8.2889 Tf 4.76 0 Td [(y)]TJ/F183 9.5641 Tf 4.509 0 Td [(/;)]TJ/F186 9.5641 Tf 8.327 0 Td [(\022)]TJ/F183 9.5641 Tf 4.571 0 Td [(;)]TJ/F135 8.2889 Tf 4.76 0 Td [(y)]TJ/F183 9.5641 Tf 4.509 0 Td [(/)]TJ ET q 1 0 0 1 217.096 523.745 cm []0 d 0 J 0.44 w 0 0 m 61.036 0 l S Q BT /F183 9.5641 Tf 242.973 514.563 Td [(@)]TJ/F182 9.5641 Tf 5.621 0.252 Td [(O)]TJ/F135 8.2889 Tf -0.475 -0.252 Td [(c)]TJ/F183 9.5641 Tf 32.621 13.495 Td [(@)]TJ/F182 9.5641 Tf 5.622 0.252 Td [(O)]TJ/F135 8.2889 Tf -0.476 -0.252 Td [(c)]TJ ET q 1 0 0 1 280.523 523.745 cm []0 d 0 J 0.44 w 0 0 m 9.717 0 l S Q BT /F183 9.5641 Tf 280.523 514.563 Td [(@)]TJ/F186 9.5641 Tf 5.145 0 Td [(\022)]TJ/F183 9.5641 Tf 5.767 6.791 Td [(:)]TJ ET 1 0 0 1 40.867 521.354 cm 0 g 0 G 0 g 0 G 1 0 0 1 -40.867 -521.354 cm BT /F20 8.2889 Tf 40.867 502.084 Td [(The)-224(derivative)]TJ/F183 9.5641 Tf 56.124 0 Td [(@)]TJ/F182 9.5641 Tf 5.621 0.252 Td [(O)]TJ/F135 8.2889 Tf -0.475 -0.252 Td [(c)]TJ/F183 9.5641 Tf 4.136 0 Td [(=@)]TJ/F186 9.5641 Tf 9.64 0 Td [(\022)]TJ/F20 8.2889 Tf 6.433 0 Td [(is)-225(required)-224(in)-225(the)-224(above)-225(formula,)-224(and)-225(it)-224(is)-225(also)-224(crucial)-225(for)-224(the)-225(variance)-225(estimation)-224(of)-225(parameters.)-224(When)]TJ ET 1 0 0 1 40.867 502.084 cm 0 g 0 G 0 g 0 G 1 0 0 1 -40.867 -502.084 cm BT /F182 9.5641 Tf 41.342 491.875 Td [(O)]TJ/F135 8.2889 Tf -0.475 -0.252 Td [(c)]TJ/F20 8.2889 Tf 5.922 0 Td [(is)-216(an)-215(implicit)-216(function)-215(of)]TJ/F186 9.5641 Tf 93.569 0 Td [(\022)]TJ/F20 8.2889 Tf 4.572 0 Td [(,)-216(the)-215(Implicit)-216(Function)-215(Theorem)-216(is)-215(applied)-216(as)-215(follows.)-216(The)-215(estimate)]TJ/F182 9.5641 Tf 251.502 0.252 Td [(O)]TJ/F135 8.2889 Tf -0.475 -0.252 Td [(c)]TJ/F20 8.2889 Tf 5.922 0 Td [(satisfies)]TJ/F183 9.5641 Tf 32.356 0 Td [(@)]TJ/F39 8.2889 Tf 5.145 0 Td [(H)]TJ/F183 9.5641 Tf 6.602 0 Td [(.)]TJ/F135 8.2889 Tf 3.568 0 Td [(c)]TJ/F182 9.5641 Tf 4.136 0 Td [(j)]TJ/F186 9.5641 Tf 2.735 0 Td [(\022)]TJ/F183 9.5641 Tf 4.572 0 Td [(;)]TJ/F135 8.2889 Tf 4.76 0 Td [(y)]TJ/F183 9.5641 Tf 4.509 0 Td [(/=@)]TJ/F135 8.2889 Tf 13.208 0 Td [(c)]TJ/F182 9.5641 Tf 6.793 0 Td [(D)]TJ/F20 8.2889 Tf 10.116 0 Td [(0,)]TJ ET 1 0 0 1 40.867 491.623 cm 0 g 0 G 0 g 0 G 1 0 0 1 -40.867 -491.623 cm BT /F20 8.2889 Tf 40.867 481.162 Td [(and)-250(consequently)]TJ ET 1 0 0 1 40.867 481.162 cm 0 g 0 G 0 g 0 G 1 0 0 1 -40.867 -481.162 cm BT /F20 8.2889 Tf 68.258 464.558 Td [(d)]TJ ET q 1 0 0 1 65.972 460.245 cm []0 d 0 J 0.44 w 0 0 m 9.503 0 l S Q BT /F20 8.2889 Tf 65.972 451.063 Td [(d)]TJ/F186 9.5641 Tf 4.932 0 Td [(\022)]TJ/F199 9.5641 Tf 7.361 20.218 Td [(\022)]TJ/F183 9.5641 Tf 8.847 -6.723 Td [(@)]TJ/F39 8.2889 Tf 5.146 0 Td [(H)]TJ/F183 9.5641 Tf 6.602 0 Td [(.)]TJ/F135 8.2889 Tf 3.567 0 Td [(c)]TJ/F182 9.5641 Tf 4.136 0 Td [(j)]TJ/F186 9.5641 Tf 2.736 0 Td [(\022)]TJ/F183 9.5641 Tf 4.571 0 Td [(;)]TJ/F135 8.2889 Tf 4.76 0 Td [(y)]TJ/F183 9.5641 Tf 4.509 0 Td [(/)]TJ ET q 1 0 0 1 87.112 460.245 cm []0 d 0 J 0.44 w 0 0 m 39.594 0 l S Q BT /F183 9.5641 Tf 102.269 451.063 Td [(@)]TJ/F135 8.2889 Tf 5.145 0 Td [(c)]TJ/F199 9.5641 Tf 20.488 20.658 Td [(\014)]TJ 0 -5.738 Td [(\014)]TJ 0 -5.738 Td [(\014)]TJ 0 -5.739 Td [(\014)]TJ/F182 6.6948 Tf 3.441 -5.897 Td [(O)]TJ/F135 5.8022 Tf -0.333 -0.176 Td [(c)]TJ/F199 9.5641 Tf 3.394 22.848 Td [(\023)]TJ/F182 9.5641 Tf 9.112 -13.428 Td [(D)]TJ/F183 9.5641 Tf 12.508 6.705 Td [(@)]TJ/F20 5.8022 Tf 5.145 3.472 Td [(2)]TJ/F39 8.2889 Tf 3.858 -3.472 Td [(H)]TJ/F183 9.5641 Tf 6.602 0 Td [(.)]TJ/F135 8.2889 Tf 3.567 0 Td [(c)]TJ/F182 9.5641 Tf 4.136 0 Td [(j)]TJ/F186 9.5641 Tf 2.736 0 Td [(\022)]TJ/F183 9.5641 Tf 4.571 0 Td [(;)]TJ/F135 8.2889 Tf 4.76 0 Td [(y)]TJ/F183 9.5641 Tf 4.509 0 Td [(/)]TJ ET q 1 0 0 1 156.024 460.245 cm []0 d 0 J 0.44 w 0 0 m 43.452 0 l S Q BT /F183 9.5641 Tf 168.25 451.063 Td [(@)]TJ/F135 8.2889 Tf 5.146 0 Td [(c)]TJ/F183 9.5641 Tf 4.136 0 Td [(@)]TJ/F186 9.5641 Tf 5.145 0 Td [(\022)]TJ/F199 9.5641 Tf 17.994 20.658 Td [(\014)]TJ 0 -5.738 Td [(\014)]TJ 0 -5.738 Td [(\014)]TJ 0 -5.739 Td [(\014)]TJ/F182 6.6948 Tf 3.441 -5.897 Td [(O)]TJ/F135 5.8022 Tf -0.333 -0.176 Td [(c)]TJ/F182 9.5641 Tf 5.519 9.42 Td [(C)]TJ/F183 9.5641 Tf 11.977 6.705 Td [(@)]TJ/F20 5.8022 Tf 5.145 3.472 Td [(2)]TJ/F39 8.2889 Tf 3.858 -3.472 Td [(H)]TJ/F183 9.5641 Tf 6.602 0 Td [(.)]TJ/F135 8.2889 Tf 3.567 0 Td [(c)]TJ/F182 9.5641 Tf 4.136 0 Td [(j)]TJ/F186 9.5641 Tf 2.736 0 Td [(\022)]TJ/F183 9.5641 Tf 4.571 0 Td [(;)]TJ/F135 8.2889 Tf 4.76 0 Td [(y)]TJ/F183 9.5641 Tf 4.509 0 Td [(/)]TJ ET q 1 0 0 1 221.275 460.245 cm []0 d 0 J 0.44 w 0 0 m 43.452 0 l S Q BT /F183 9.5641 Tf 236.431 451.063 Td [(@)]TJ/F135 8.2889 Tf 5.145 0 Td [(c)]TJ/F20 5.8022 Tf 4.137 2.764 Td [(2)]TJ/F199 9.5641 Tf 20.209 17.894 Td [(\014)]TJ 0 -5.738 Td [(\014)]TJ 0 -5.738 Td [(\014)]TJ 0 -5.739 Td [(\014)]TJ/F182 6.6948 Tf 3.441 -5.897 Td [(O)]TJ/F135 5.8022 Tf -0.333 -0.176 Td [(c)]TJ/F183 9.5641 Tf 4.807 16.125 Td [(@)]TJ/F182 9.5641 Tf 5.621 0.252 Td [(O)]TJ/F135 8.2889 Tf -0.476 -0.252 Td [(c)]TJ ET q 1 0 0 1 273.619 460.245 cm []0 d 0 J 0.44 w 0 0 m 9.717 0 l S Q BT /F183 9.5641 Tf 273.619 451.063 Td [(@)]TJ/F186 9.5641 Tf 5.146 0 Td [(\022)]TJ/F182 9.5641 Tf 8.424 6.79 Td [(D)]TJ/F20 8.2889 Tf 10.116 0 Td [(0)]TJ/F183 9.5641 Tf 4.799 0 Td [(:)]TJ/F20 8.2889 Tf 194.089 0 Td [(\0504\051)]TJ ET 1 0 0 1 40.867 457.853 cm 0 g 0 G 0 g 0 G 1 0 0 1 -40.867 -457.853 cm BT /F20 8.2889 Tf 40.867 435.312 Td [(If)-250(it)-250(can)-250(be)-250(assumed)-250(that)]TJ/F199 9.5641 Tf 94.932 8.129 Td [(\014)]TJ 0 -5.738 Td [(\014)]TJ/F183 9.5641 Tf 3.108 -2.391 Td [(@)]TJ/F20 5.8022 Tf 5.145 3.472 Td [(2)]TJ/F39 8.2889 Tf 3.858 -3.472 Td [(H)]TJ/F183 9.5641 Tf 6.602 0 Td [(.)]TJ/F135 8.2889 Tf 3.567 0 Td [(c)]TJ/F182 9.5641 Tf 4.137 0 Td [(j)]TJ/F186 9.5641 Tf 2.735 0 Td [(\022)]TJ/F183 9.5641 Tf 4.572 0 Td [(;)]TJ/F135 8.2889 Tf 4.759 0 Td [(y)]TJ/F183 9.5641 Tf 4.509 0 Td [(/=@)]TJ/F135 8.2889 Tf 13.208 0 Td [(c)]TJ/F20 5.8022 Tf 4.137 3.472 Td [(2)]TJ/F182 9.5641 Tf 3.857 -3.472 Td [(j)]TJ/F182 6.6948 Tf 3.068 -1.495 Td [(O)]TJ/F135 5.8022 Tf -0.333 -0.176 Td [(c)]TJ/F199 9.5641 Tf 3.394 9.8 Td [(\014)]TJ 0 -5.738 Td [(\014)]TJ/F182 9.5641 Tf 5.765 -2.391 Td [(6)1(D)]TJ/F20 8.2889 Tf 10.116 0 Td [(0,)-250(then)-250(we)-250(have)]TJ ET 1 0 0 1 40.867 435.312 cm 0 g 0 G 0 g 0 G 1 0 0 1 -40.867 -435.312 cm BT /F183 9.5641 Tf 66.19 417.232 Td [(@)]TJ/F182 9.5641 Tf 5.621 0.252 Td [(O)]TJ/F135 8.2889 Tf -0.475 -0.252 Td [(c)]TJ ET q 1 0 0 1 65.972 412.919 cm []0 d 0 J 0.44 w 0 0 m 9.717 0 l S Q BT /F183 9.5641 Tf 65.972 403.737 Td [(@)]TJ/F186 9.5641 Tf 5.146 0 Td [(\022)]TJ/F182 9.5641 Tf 8.424 6.791 Td [(D)-278(\000)]TJ/F199 9.5641 Tf 19.17 13.428 Td [(\024)]TJ/F183 9.5641 Tf 7.604 -6.724 Td [(@)]TJ/F20 5.8022 Tf 5.145 3.472 Td [(2)]TJ/F39 8.2889 Tf 3.858 -3.472 Td [(H)]TJ/F183 9.5641 Tf 6.602 0 Td [(.)]TJ/F135 8.2889 Tf 3.567 0 Td [(c)]TJ/F182 9.5641 Tf 4.136 0 Td [(j)]TJ/F186 9.5641 Tf 2.736 0 Td [(\022)]TJ/F183 9.5641 Tf 4.571 0 Td [(;)]TJ/F135 8.2889 Tf 4.76 0 Td [(y)]TJ/F183 9.5641 Tf 4.509 0 Td [(/)]TJ ET q 1 0 0 1 106.316 412.919 cm []0 d 0 J 0.44 w 0 0 m 43.452 0 l S Q BT /F183 9.5641 Tf 121.472 403.737 Td [(@)]TJ/F135 8.2889 Tf 5.146 0 Td [(c)]TJ/F20 5.8022 Tf 4.136 2.764 Td [(2)]TJ/F199 9.5641 Tf 20.209 17.895 Td [(\014)]TJ 0 -5.739 Td [(\014)]TJ 0 -5.738 Td [(\014)]TJ 0 -5.739 Td [(\014)]TJ/F182 6.6948 Tf 3.441 -5.896 Td [(O)]TJ/F135 5.8022 Tf -0.332 -0.177 Td [(c)]TJ/F199 9.5641 Tf 3.393 22.849 Td [(\025)]TJ/F182 6.6948 Tf 5.212 -1.383 Td [(\000)]TJ/F20 5.8022 Tf 5.222 0 Td [(1)]TJ/F199 9.5641 Tf 5.452 1.383 Td [(\024)]TJ/F183 9.5641 Tf 7.603 -6.724 Td [(@)]TJ/F20 5.8022 Tf 5.146 3.472 Td [(2)]TJ/F39 8.2889 Tf 3.857 -3.472 Td [(H)]TJ/F183 9.5641 Tf 6.602 0 Td [(.)]TJ/F135 8.2889 Tf 3.568 0 Td [(c)]TJ/F182 9.5641 Tf 4.136 0 Td [(j)]TJ/F186 9.5641 Tf 2.735 0 Td [(\022)]TJ/F183 9.5641 Tf 4.572 0 Td [(;)]TJ/F135 8.2889 Tf 4.76 0 Td [(y)]TJ/F183 9.5641 Tf 4.509 0 Td [(/)]TJ ET q 1 0 0 1 180.954 412.919 cm []0 d 0 J 0.44 w 0 0 m 43.452 0 l S Q BT /F183 9.5641 Tf 193.181 403.737 Td [(@)]TJ/F135 8.2889 Tf 5.145 0 Td [(c)]TJ/F183 9.5641 Tf 4.137 0 Td [(@)]TJ/F186 9.5641 Tf 5.145 0 Td [(\022)]TJ/F199 9.5641 Tf 17.994 20.659 Td [(\014)]TJ 0 -5.739 Td [(\014)]TJ 0 -5.738 Td [(\014)]TJ 0 -5.739 Td [(\014)]TJ/F182 6.6948 Tf 3.441 -5.896 Td [(O)]TJ/F135 5.8022 Tf -0.333 -0.177 Td [(c)]TJ/F199 9.5641 Tf 3.393 22.849 Td [(\025)]TJ/F183 9.5641 Tf 6.807 -13.428 Td [(:)]TJ ET 1 0 0 1 40.867 410.528 cm 0 g 0 G 0 g 0 G 1 0 0 1 -40.867 -410.528 cm BT /F135 8.2889 Tf 40.867 377.465 Td [(3.)-500(Interval)-250(estimation)-250(for)-250(parameters)]TJ ET 1 0 0 1 40.867 377.465 cm 0 g 0 G 0 g 0 G 1 0 0 1 -40.867 -377.465 cm BT /F20 8.2889 Tf 52.822 357.225 Td [(By)-507(considering)-507(the)-507(functional)-507(relationship)-508(between)-507(the)-507(nuisance)-507(and)-507(structural)-507(parameters,)-508(we)-507(can)-507(obtain)-507(their)]TJ ET 1 0 0 1 40.867 357.225 cm 0 g 0 G 0 g 0 G 1 0 0 1 -40.867 -357.225 cm BT /F20 8.2889 Tf 40.867 346.764 Td [(unconditional)-250(variance)-250(estimates)-250(by)-250(the)-250(Delta)-250(method.)]TJ ET 1 0 0 1 40.867 346.764 cm 0 g 0 G 0 g 0 G 1 0 0 1 -40.867 -346.764 cm BT /F20 8.2889 Tf 52.822 334.726 Td [(Let)]TJ/F186 9.5641 Tf 13.66 0 Td [(\026)]TJ/F20 8.2889 Tf 8.671 0 Td [(be)-250(the)-250(expectation)-250(of)]TJ/F135 8.2889 Tf 82.317 0 Td [(y)]TJ/F20 8.2889 Tf 4.509 0 Td [(,)-250(then)-250(we)-250(can)-250(approximate)]TJ/F182 9.5641 Tf 104.08 2.266 Td [(O)]TJ/F186 9.5641 Tf -0.693 -2.266 Td [(\022)]TJ/F20 8.2889 Tf 6.643 0 Td [(as)-250(a)-250(function)-250(of)]TJ/F135 8.2889 Tf 60.07 0 Td [(y)]TJ/F20 8.2889 Tf 6.581 0 Td [(with)-250(the)-250(first)-250(order)-250(Taylor)-250(expansion:)]TJ ET 1 0 0 1 40.867 334.726 cm 0 g 0 G 0 g 0 G 1 0 0 1 -40.867 -334.726 cm BT /F182 9.5641 Tf 65.47 311.525 Td [(O)]TJ/F186 9.5641 Tf -0.693 -2.266 Td [(\022)]TJ/F183 9.5641 Tf 4.572 0 Td [(.)]TJ/F135 8.2889 Tf 3.567 0 Td [(y)]TJ/F183 9.5641 Tf 4.509 0 Td [(/)]TJ/F182 9.5641 Tf 6.224 0 Td [(\031)]TJ 10.81 2.266 Td [(O)]TJ/F186 9.5641 Tf -0.693 -2.266 Td [(\022)]TJ/F183 9.5641 Tf 4.571 0 Td [(.)]TJ/F186 9.5641 Tf 3.568 0 Td [(\026)]TJ/F183 9.5641 Tf 6.599 0 Td [(/)]TJ/F182 9.5641 Tf 5.693 0 Td [(C)]TJ/F199 9.5641 Tf 9.585 16.297 Td [(")]TJ/F20 8.2889 Tf 8.33 -9.593 Td [(d)]TJ/F182 9.5641 Tf 5.626 2.267 Td [(O)]TJ/F186 9.5641 Tf -0.694 -2.267 Td [(\022)]TJ ET q 1 0 0 1 132.112 311.65 cm []0 d 0 J 0.44 w 0 0 m 9.503 0 l S Q BT /F20 8.2889 Tf 132.144 302.468 Td [(d)]TJ/F135 8.2889 Tf 4.932 0 Td [(y)]TJ/F199 9.5641 Tf 5.735 23.528 Td [(\014)]TJ 0 -5.739 Td [(\014)]TJ 0 -5.738 Td [(\014)]TJ 0 -5.738 Td [(\014)]TJ 0 -5.739 Td [(\014)]TJ/F135 5.8022 Tf 3.109 -6.073 Td [(y)]TJ/F182 6.6948 Tf 3.156 0 Td [(D)]TJ/F186 6.6948 Tf 5.222 0 Td [(\026)]TJ/F199 9.5641 Tf 5.118 28.587 Td [(#)]TJ/F183 9.5641 Tf 7.533 -16.297 Td [(.)]TJ/F135 8.2889 Tf 3.567 0 Td [(y)]TJ/F182 9.5641 Tf 6.635 0 Td [(\000)]TJ/F186 9.5641 Tf 9.585 0 Td [(\026)]TJ/F183 9.5641 Tf 6.599 0 Td [(/:)]TJ/F20 8.2889 Tf 302.858 0 Td [(\0505\051)]TJ ET 1 0 0 1 40.867 309.259 cm 0 g 0 G 0 g 0 G 1 0 0 1 -40.867 -309.259 cm BT /F20 8.2889 Tf 40.867 281.341 Td [(Taking)-250(variance)-250(on)-250(both)-250(sides)-250(of)]TJ ET 1 0 0 1 165.116 281.341 cm 0 0 .4 rg 0 0 .4 RG 1 0 0 1 -165.116 -281.341 cm BT /F20 8.2889 Tf 165.116 281.341 Td [(\0505\051)]TJ ET 1 0 0 1 176.041 281.341 cm 0 g 0 G 1 0 0 1 -176.041 -281.341 cm BT /F20 8.2889 Tf 176.041 281.341 Td [(,)-250(we)-250(can)-250(approximate)-250(the)-250(variance)-250(of)]TJ/F182 9.5641 Tf 142.98 2.267 Td [(O)]TJ/F186 9.5641 Tf -0.694 -2.267 Td [(\022)]TJ/F20 8.2889 Tf 4.572 0 Td [(:)]TJ ET 1 0 0 1 40.867 281.341 cm 0 g 0 G 0 g 0 G 1 0 0 1 -40.867 -281.341 cm BT /F50 9.9626 Tf 64.777 256.925 Td [(Var)]TJ/F182 9.5641 Tf 15.691 0 Td [(T)]TJ 3.878 2.267 Td [(O)]TJ/F186 9.5641 Tf -0.693 -2.267 Td [(\022)]TJ/F183 9.5641 Tf 4.571 0 Td [(.)]TJ/F135 8.2889 Tf 3.568 0 Td [(y)]TJ/F183 9.5641 Tf 4.509 0 Td [(/)]TJ/F182 9.5641 Tf 3.567 0 Td [(U)-278(\031)]TJ/F199 9.5641 Tf 15.959 16.298 Td [(")]TJ/F20 8.2889 Tf 8.33 -9.593 Td [(d)]TJ/F182 9.5641 Tf 5.625 2.266 Td [(O)]TJ/F186 9.5641 Tf -0.693 -2.266 Td [(\022)]TJ ET q 1 0 0 1 124.157 259.316 cm []0 d 0 J 0.44 w 0 0 m 9.503 0 l S Q BT /F20 8.2889 Tf 124.188 250.135 Td [(d)]TJ/F135 8.2889 Tf 4.932 0 Td [(y)]TJ/F199 9.5641 Tf 5.736 23.528 Td [(\014)]TJ 0 -5.739 Td [(\014)]TJ 0 -5.738 Td [(\014)]TJ 0 -5.739 Td [(\014)]TJ 0 -5.738 Td [(\014)]TJ/F135 5.8022 Tf 3.108 -6.074 Td [(y)]TJ/F182 6.6948 Tf 3.157 0 Td [(D)]TJ/F186 6.6948 Tf 5.222 0 Td [(\026)]TJ/F199 9.5641 Tf 5.117 28.588 Td [(#)]TJ/F186 9.0859 Tf 7.533 -16.298 Td [(\006)]TJ/F199 9.5641 Tf 8.999 16.298 Td [(")]TJ/F20 8.2889 Tf 8.331 -9.593 Td [(d)]TJ/F182 9.5641 Tf 5.625 2.266 Td [(O)]TJ/F186 9.5641 Tf -0.693 -2.266 Td [(\022)]TJ ET q 1 0 0 1 176.323 259.316 cm []0 d 0 J 0.44 w 0 0 m 9.503 0 l S Q BT /F20 8.2889 Tf 176.354 250.135 Td [(d)]TJ/F135 8.2889 Tf 4.932 0 Td [(y)]TJ/F199 9.5641 Tf 5.736 23.528 Td [(\014)]TJ 0 -5.739 Td [(\014)]TJ 0 -5.738 Td [(\014)]TJ 0 -5.739 Td [(\014)]TJ 0 -5.738 Td [(\014)]TJ/F135 5.8022 Tf 3.108 -6.074 Td [(y)]TJ/F182 6.6948 Tf 3.157 0 Td [(D)]TJ/F186 6.6948 Tf 5.221 0 Td [(\026)]TJ/F199 9.5641 Tf 5.118 28.588 Td [(#)]TJ/F182 6.6948 Tf 5.939 -2.145 Td [(0)]TJ/F183 9.5641 Tf 3.9 -14.153 Td [(;)]TJ ET 1 0 0 1 40.867 256.925 cm 0 g 0 G 0 g 0 G 1 0 0 1 -40.867 -256.925 cm BT /F20 8.2889 Tf 40.867 232.076 Td [(where)]TJ/F186 9.0859 Tf 26.333 0 Td [(\006)]TJ/F20 8.2889 Tf 9.477 0 Td [(is)-250(the)-250(variance\025covariance)-250(matrix)-250(for)]TJ/F135 8.2889 Tf 143.538 0 Td [(y)]TJ/F20 8.2889 Tf 4.509 0 Td [(.)]TJ ET 1 0 0 1 228.745 232.076 cm 0 0 .4 rg 0 0 .4 RG 1 0 0 1 -228.745 -232.076 cm BT /F20 8.2889 Tf 228.745 232.076 Td [(Wahba)]TJ ET 1 0 0 1 255.791 232.076 cm 0 g 0 G 1 0 0 1 2.072 0 cm 0 0 .4 rg 0 0 .4 RG 0 g 0 G 1 0 0 1 -257.863 -232.076 cm BT /F20 8.2889 Tf 257.863 232.076 Td [(\050)]TJ ET 1 0 0 1 260.93 232.076 cm 0 0 .4 rg 0 0 .4 RG 1 0 0 1 -260.93 -232.076 cm BT /F20 8.2889 Tf 260.93 232.076 Td [(1983)]TJ ET 1 0 0 1 280.127 232.076 cm 0 g 0 G 1 0 0 1 -280.127 -232.076 cm BT /F20 8.2889 Tf 280.127 232.076 Td [(\051)-250(estimates)-250(it)-250(by:)]TJ ET 1 0 0 1 40.867 232.076 cm 0 g 0 G 0 g 0 G 1 0 0 1 -40.867 -232.076 cm BT /F182 9.5641 Tf 66.887 210.932 Td [(O)]TJ/F186 9.0859 Tf -2.11 -1.679 Td [(\006)]TJ/F182 9.5641 Tf 10.062 0 Td [(D)]TJ/F50 9.9626 Tf 11.312 6.704 Td [(SSE)]TJ/F183 9.5641 Tf 15.691 0 Td [(.)]TJ/F182 9.5641 Tf 4.261 2.267 Td [(O)]TJ/F186 9.5641 Tf -0.694 -2.267 Td [(\022)]TJ/F183 9.5641 Tf 4.572 0 Td [(/)]TJ ET q 1 0 0 1 86.151 211.644 cm []0 d 0 J 0.44 w 0 0 m 27.398 0 l S Q BT /F50 9.9626 Tf 86.151 200.674 Td [(dfe)]TJ/F183 9.5641 Tf 15.691 0 Td [(.)]TJ/F182 9.5641 Tf 4.261 2.267 Td [(O)]TJ/F186 9.5641 Tf -0.694 -2.267 Td [(\022)]TJ/F183 9.5641 Tf 4.572 0 Td [(/)]TJ/F182 9.5641 Tf 6.888 8.579 Td [(\001)]TJ/F135 8.2889 Tf 4.784 0 Td [(I)]TJ/F183 9.5641 Tf 2.868 0 Td [(:)]TJ ET 1 0 0 1 40.867 209.253 cm 0 g 0 G 0 g 0 G 1 0 0 1 -40.867 -209.253 cm BT /F20 8.2889 Tf 52.822 184.777 Td [(The)-687(derivative)-688(of)-687(d)]TJ/F182 9.5641 Tf 82.58 2.266 Td [(O)]TJ/F186 9.5641 Tf -0.693 -2.266 Td [(\022)]TJ/F183 9.5641 Tf 4.571 0 Td [(=)]TJ/F20 8.2889 Tf 4.495 0 Td [(d)]TJ/F135 8.2889 Tf 4.932 0 Td [(y)]TJ/F20 8.2889 Tf 10.207 0 Td [(can)-687(also)-688(be)-687(calculated)-687(by)-688(the)-687(Implicit)-688(Function)-687(Theorem.)-690(The)-687(estimate)]TJ/F182 9.5641 Tf 308.059 2.266 Td [(O)]TJ/F186 9.5641 Tf -0.693 -2.266 Td [(\022)]TJ/F20 8.2889 Tf 10.269 0 Td [(satisfies)]TJ ET 1 0 0 1 40.867 184.777 cm 0 g 0 G 0 g 0 G 1 0 0 1 -40.867 -184.777 cm BT /F20 8.2889 Tf 40.867 174.316 Td [(d)]TJ/F39 8.2889 Tf 4.931 0 Td [(F)]TJ/F183 9.5641 Tf 5.044 0 Td [(.)]TJ/F182 9.5641 Tf 4.043 0.252 Td [(O)]TJ/F135 8.2889 Tf -0.475 -0.252 Td [(c)]TJ/F183 9.5641 Tf 4.136 0 Td [(.)]TJ/F186 9.5641 Tf 3.567 0 Td [(\022)]TJ/F183 9.5641 Tf 4.572 0 Td [(;)]TJ/F135 8.2889 Tf 4.759 0 Td [(y)]TJ/F183 9.5641 Tf 4.51 0 Td [(/;)]TJ/F186 9.5641 Tf 8.327 0 Td [(\022)]TJ/F183 9.5641 Tf 4.571 0 Td [(;)]TJ/F135 8.2889 Tf 4.76 0 Td [(y)]TJ/F183 9.5641 Tf 4.509 0 Td [(/=)]TJ/F20 8.2889 Tf 8.063 0 Td [(d)]TJ/F186 9.5641 Tf 4.932 0 Td [(\022)]TJ/F182 9.5641 Tf 7.228 0 Td [(D)]TJ/F20 8.2889 Tf 10.116 0 Td [(0.)-250(We)-250(take)-250(the)]TJ/F135 8.2889 Tf 56.862 0 Td [(y)]TJ/F20 8.2889 Tf 4.509 0 Td [(-derivative)-250(on)-250(both)-250(sides)-250(of)-250(the)-250(identity)-250(d)]TJ/F39 8.2889 Tf 157.695 0 Td [(F)]TJ/F183 9.5641 Tf 5.044 0 Td [(.)]TJ/F182 9.5641 Tf 4.043 0.252 Td [(O)]TJ/F135 8.2889 Tf -0.476 -0.252 Td [(c)]TJ/F183 9.5641 Tf 4.137 0 Td [(.)]TJ/F186 9.5641 Tf 3.567 0 Td [(\022)]TJ/F183 9.5641 Tf 4.572 0 Td [(;)]TJ/F135 8.2889 Tf 4.759 0 Td [(y)]TJ/F183 9.5641 Tf 4.509 0 Td [(/;)]TJ/F186 9.5641 Tf 8.328 0 Td [(\022)]TJ/F183 9.5641 Tf 4.571 0 Td [(;)]TJ/F135 8.2889 Tf 4.76 0 Td [(y)]TJ/F183 9.5641 Tf 4.509 0 Td [(/=)]TJ/F20 8.2889 Tf 8.063 0 Td [(d)]TJ/F186 9.5641 Tf 4.931 0 Td [(\022)]TJ/F182 9.5641 Tf 4.572 0 Td [(j)]TJ/F182 6.6948 Tf 3.221 -1.495 Td [(O)]TJ/F186 6.6948 Tf -0.486 -1.587 Td [(\022)]TJ/F183 6.6948 Tf 3.2 0 Td [(;)]TJ/F135 5.8022 Tf 2.216 0 Td [(y)]TJ/F182 9.5641 Tf 6.312 3.082 Td [(D)]TJ/F20 8.2889 Tf 10.116 0 Td [(0,)-250(and)-250(attain:)]TJ ET 1 0 0 1 40.867 174.316 cm 0 g 0 G 0 g 0 G 1 0 0 1 -40.867 -174.316 cm BT /F20 8.2889 Tf 68.227 153.045 Td [(d)]TJ ET q 1 0 0 1 65.972 148.732 cm []0 d 0 J 0.44 w 0 0 m 9.441 0 l S Q BT /F20 8.2889 Tf 65.972 139.55 Td [(d)]TJ/F135 8.2889 Tf 4.932 0 Td [(y)]TJ/F199 9.5641 Tf 7.299 23.088 Td [(\040)]TJ/F20 8.2889 Tf 9.019 -9.593 Td [(d)]TJ/F39 8.2889 Tf 4.932 0 Td [(F)]TJ ET q 1 0 0 1 87.222 148.732 cm []0 d 0 J 0.44 w 0 0 m 9.976 0 l S Q BT /F20 8.2889 Tf 87.458 139.55 Td [(d)]TJ/F186 9.5641 Tf 4.932 0 Td [(\022)]TJ/F199 9.5641 Tf 6.003 20.659 Td [(\014)]TJ 0 -5.739 Td [(\014)]TJ 0 -5.738 Td [(\014)]TJ 0 -5.739 Td [(\014)]TJ/F182 6.6948 Tf 3.594 -4.486 Td [(O)]TJ/F186 6.6948 Tf -0.486 -1.587 Td [(\022)]TJ/F183 6.6948 Tf 3.2 0 Td [(;)]TJ/F135 5.8022 Tf 2.216 0 Td [(y)]TJ/F199 9.5641 Tf 3.655 25.718 Td [(!)]TJ/F182 9.5641 Tf 9.284 -16.297 Td [(D)]TJ/F20 8.2889 Tf 15.064 6.704 Td [(d)]TJ/F20 5.8022 Tf 4.932 3.472 Td [(2)]TJ/F39 8.2889 Tf 3.857 -3.472 Td [(F)]TJ ET q 1 0 0 1 132.364 148.732 cm []0 d 0 J 0.44 w 0 0 m 18.944 0 l S Q BT /F20 8.2889 Tf 132.364 139.55 Td [(d)]TJ/F186 9.5641 Tf 4.932 0 Td [(\022)]TJ/F20 8.2889 Tf 4.572 0 Td [(d)]TJ/F135 8.2889 Tf 4.931 0 Td [(y)]TJ/F199 9.5641 Tf 5.705 20.659 Td [(\014)]TJ 0 -5.739 Td [(\014)]TJ 0 -5.738 Td [(\014)]TJ 0 -5.739 Td [(\014)]TJ/F182 6.6948 Tf 3.594 -4.486 Td [(O)]TJ/F186 6.6948 Tf -0.486 -1.587 Td [(\022)]TJ/F183 6.6948 Tf 3.201 0 Td [(;)]TJ/F135 5.8022 Tf 2.216 0 Td [(y)]TJ/F182 9.5641 Tf 5.779 9.421 Td [(C)]TJ/F20 8.2889 Tf 11.977 6.704 Td [(d)]TJ/F20 5.8022 Tf 4.932 3.472 Td [(2)]TJ/F39 8.2889 Tf 3.857 -3.472 Td [(F)]TJ ET q 1 0 0 1 178.785 148.732 cm []0 d 0 J 0.44 w 0 0 m 13.833 0 l S Q BT /F20 8.2889 Tf 179.021 138.657 Td [(d)]TJ/F186 9.5641 Tf 4.932 0 Td [(\022)]TJ/F20 5.8022 Tf 4.571 4.082 Td [(2)]TJ/F199 9.5641 Tf 5.289 17.47 Td [(\014)]TJ 0 -5.739 Td [(\014)]TJ 0 -5.738 Td [(\014)]TJ 0 -5.739 Td [(\014)]TJ/F182 6.6948 Tf 3.594 -4.486 Td [(O)]TJ/F186 6.6948 Tf -0.485 -1.587 Td [(\022)]TJ/F183 6.6948 Tf 3.2 0 Td [(;)]TJ/F135 5.8022 Tf 2.216 0 Td [(y)]TJ/F20 8.2889 Tf 4.85 16.125 Td [(d)]TJ/F182 9.5641 Tf 5.625 2.267 Td [(O)]TJ/F186 9.5641 Tf -0.693 -2.267 Td [(\022)]TJ ET q 1 0 0 1 207.188 148.732 cm []0 d 0 J 0.44 w 0 0 m 9.503 0 l S Q BT /F20 8.2889 Tf 207.219 139.55 Td [(d)]TJ/F135 8.2889 Tf 4.932 0 Td [(y)]TJ/F182 9.5641 Tf 8.393 6.791 Td [(D)]TJ/F20 8.2889 Tf 10.116 0 Td [(0)]TJ/F183 9.5641 Tf 4.799 0 Td [(;)]TJ/F20 8.2889 Tf 260.734 0 Td [(\0506\051)]TJ ET 1 0 0 1 40.867 146.341 cm 0 g 0 G 0 g 0 G 1 0 0 1 -40.867 -146.341 cm BT /F20 8.2889 Tf 40.867 123.085 Td [(where)]TJ ET 1 0 0 1 40.867 123.085 cm 0 g 0 G 0 g 0 G 1 0 0 1 -40.867 -123.085 cm BT /F20 8.2889 Tf 65.972 107.673 Td [(d)]TJ/F20 5.8022 Tf 4.932 3.471 Td [(2)]TJ/F39 8.2889 Tf 3.858 -3.471 Td [(F)]TJ ET q 1 0 0 1 65.972 103.359 cm []0 d 0 J 0.44 w 0 0 m 13.833 0 l S Q BT /F20 8.2889 Tf 66.208 93.285 Td [(d)]TJ/F186 9.5641 Tf 4.932 0 Td [(\022)]TJ/F20 5.8022 Tf 4.572 4.082 Td [(2)]TJ/F182 9.5641 Tf 7.946 3.601 Td [(D)]TJ/F183 9.5641 Tf 11.312 6.705 Td [(@)]TJ/F20 5.8022 Tf 5.145 3.471 Td [(2)]TJ/F39 8.2889 Tf 3.858 -3.471 Td [(F)]TJ ET q 1 0 0 1 94.97 103.359 cm []0 d 0 J 0.44 w 0 0 m 14.047 0 l S Q BT /F183 9.5641 Tf 95.206 93.285 Td [(@)]TJ/F186 9.5641 Tf 5.145 0 Td [(\022)]TJ/F20 5.8022 Tf 4.572 4.082 Td [(2)]TJ/F182 9.5641 Tf 7.415 3.601 Td [(C)]TJ/F183 9.5641 Tf 13.256 6.705 Td [(@)]TJ/F20 5.8022 Tf 5.146 3.471 Td [(2)]TJ/F39 8.2889 Tf 3.857 -3.471 Td [(F)]TJ ET q 1 0 0 1 123.118 103.359 cm []0 d 0 J 0.44 w 0 0 m 18.999 0 l S Q BT /F183 9.5641 Tf 123.118 94.178 Td [(@)]TJ/F182 9.5641 Tf 5.622 0.252 Td [(O)]TJ/F135 8.2889 Tf -0.476 -0.252 Td [(c)]TJ/F183 9.5641 Tf 4.136 0 Td [(@)]TJ/F186 9.5641 Tf 5.146 0 Td [(\022)]TJ/F183 9.5641 Tf 7.18 13.495 Td [(@)]TJ/F182 9.5641 Tf 5.621 0.252 Td [(O)]TJ/F135 8.2889 Tf -0.476 -0.252 Td [(c)]TJ ET q 1 0 0 1 144.508 103.359 cm []0 d 0 J 0.44 w 0 0 m 9.717 0 l S Q BT /F183 9.5641 Tf 144.508 94.178 Td [(@)]TJ/F186 9.5641 Tf 5.146 0 Td [(\022)]TJ/F182 9.5641 Tf 7.892 6.79 Td [(C)]TJ/F199 9.5641 Tf 9.585 13.428 Td [(\022)]TJ/F183 9.5641 Tf 7.869 -6.723 Td [(@)]TJ/F182 9.5641 Tf 5.622 0.251 Td [(O)]TJ/F135 8.2889 Tf -0.476 -0.251 Td [(c)]TJ ET q 1 0 0 1 174.783 103.359 cm []0 d 0 J 0.44 w 0 0 m 9.717 0 l S Q BT /F183 9.5641 Tf 174.783 94.178 Td [(@)]TJ/F186 9.5641 Tf 5.145 0 Td [(\022)]TJ/F199 9.5641 Tf 5.767 20.218 Td [(\023)]TJ/F182 6.6948 Tf 6.456 -1.892 Td [(0)]TJ/F183 9.5641 Tf 5.095 -4.831 Td [(@)]TJ/F20 5.8022 Tf 5.146 3.471 Td [(2)]TJ/F39 8.2889 Tf 3.857 -3.471 Td [(F)]TJ ET q 1 0 0 1 197.246 103.359 cm []0 d 0 J 0.44 w 0 0 m 14.047 0 l S Q BT /F183 9.5641 Tf 197.7 92.535 Td [(@)]TJ/F182 9.5641 Tf 5.621 0.252 Td [(O)]TJ/F135 8.2889 Tf -0.475 -0.252 Td [(c)]TJ/F20 5.8022 Tf 4.136 4.832 Td [(2)]TJ/F183 9.5641 Tf 6.92 10.306 Td [(@)]TJ/F182 9.5641 Tf 5.621 0.251 Td [(O)]TJ/F135 8.2889 Tf -0.476 -0.251 Td [(c)]TJ ET q 1 0 0 1 213.684 103.359 cm []0 d 0 J 0.44 w 0 0 m 9.717 0 l S Q BT /F183 9.5641 Tf 213.684 94.178 Td [(@)]TJ/F186 9.5641 Tf 5.146 0 Td [(\022)]TJ/F182 9.5641 Tf 7.892 6.79 Td [(C)]TJ/F183 9.5641 Tf 10.781 6.705 Td [(@)]TJ/F39 8.2889 Tf 5.145 0 Td [(F)]TJ ET q 1 0 0 1 237.503 103.359 cm []0 d 0 J 0.44 w 0 0 m 10.189 0 l S Q BT /F183 9.5641 Tf 237.957 94.178 Td [(@)]TJ/F182 9.5641 Tf 5.621 0.252 Td [(O)]TJ/F135 8.2889 Tf -0.476 -0.252 Td [(c)]TJ/F183 9.5641 Tf 7.199 13.495 Td [(@)]TJ/F20 5.8022 Tf 5.146 3.471 Td [(2)]TJ/F182 9.5641 Tf 4.333 -3.219 Td [(O)]TJ/F135 8.2889 Tf -0.476 -0.252 Td [(c)]TJ ET q 1 0 0 1 250.083 103.359 cm []0 d 0 J 0.44 w 0 0 m 13.575 0 l S Q BT /F183 9.5641 Tf 250.083 93.285 Td [(@)]TJ/F186 9.5641 Tf 5.146 0 Td [(\022)]TJ/F20 5.8022 Tf 4.571 4.082 Td [(2)]TJ/F183 9.5641 Tf 5.053 3.601 Td [(;)]TJ/F20 8.2889 Tf 231.34 0 Td [(\0507\051)]TJ ET 1 0 0 1 40.867 100.968 cm 0 g 0 G 0 g 0 G 1 0 0 1 -40.867 -100.968 cm BT /F20 8.2889 Tf 40.867 80.582 Td [(and)]TJ ET 1 0 0 1 40.867 80.582 cm 0 g 0 G 0 g 0 G 1 0 0 1 -40.867 -80.582 cm BT /F20 8.2889 Tf 68.528 65.651 Td [(d)]TJ/F20 5.8022 Tf 4.932 3.472 Td [(2)]TJ/F39 8.2889 Tf 3.857 -3.472 Td [(F)]TJ ET q 1 0 0 1 65.972 61.338 cm []0 d 0 J 0.44 w 0 0 m 18.944 0 l S Q BT /F20 8.2889 Tf 65.972 52.156 Td [(d)]TJ/F186 9.5641 Tf 4.932 0 Td [(\022)]TJ/F20 8.2889 Tf 4.572 0 Td [(d)]TJ/F135 8.2889 Tf 4.932 0 Td [(y)]TJ/F182 9.5641 Tf 8.361 6.791 Td [(D)]TJ/F183 9.5641 Tf 13.975 6.704 Td [(@)]TJ/F20 5.8022 Tf 5.145 3.472 Td [(2)]TJ/F39 8.2889 Tf 3.858 -3.472 Td [(F)]TJ ET q 1 0 0 1 100.081 61.338 cm []0 d 0 J 0.44 w 0 0 m 19.372 0 l S Q BT /F183 9.5641 Tf 100.081 52.156 Td [(@)]TJ/F186 9.5641 Tf 5.146 0 Td [(\022)]TJ/F183 9.5641 Tf 4.571 0 Td [(@)]TJ/F135 8.2889 Tf 5.146 0 Td [(y)]TJ/F182 9.5641 Tf 7.83 6.791 Td [(C)]TJ/F183 9.5641 Tf 13.225 6.704 Td [(@)]TJ/F20 5.8022 Tf 5.146 3.472 Td [(2)]TJ/F39 8.2889 Tf 3.857 -3.472 Td [(F)]TJ ET q 1 0 0 1 133.555 61.338 cm []0 d 0 J 0.44 w 0 0 m 18.936 0 l S Q BT /F183 9.5641 Tf 133.555 52.156 Td [(@)]TJ/F182 9.5641 Tf 5.621 0.252 Td [(O)]TJ/F135 8.2889 Tf -0.476 -0.252 Td [(c)]TJ/F183 9.5641 Tf 4.136 0 Td [(@)]TJ/F135 8.2889 Tf 5.146 0 Td [(y)]TJ/F183 9.5641 Tf 7.118 13.495 Td [(@)]TJ/F182 9.5641 Tf 5.621 0.252 Td [(O)]TJ/F135 8.2889 Tf -0.476 -0.252 Td [(c)]TJ ET q 1 0 0 1 154.882 61.338 cm []0 d 0 J 0.44 w 0 0 m 9.717 0 l S Q BT /F183 9.5641 Tf 154.882 52.156 Td [(@)]TJ/F186 9.5641 Tf 5.145 0 Td [(\022)]TJ/F182 9.5641 Tf 7.893 6.791 Td [(C)]TJ/F183 9.5641 Tf 13.257 6.704 Td [(@)]TJ/F20 5.8022 Tf 5.145 3.472 Td [(2)]TJ/F39 8.2889 Tf 3.858 -3.472 Td [(F)]TJ ET q 1 0 0 1 178.701 61.338 cm []0 d 0 J 0.44 w 0 0 m 18.999 0 l S Q BT /F183 9.5641 Tf 178.701 52.156 Td [(@)]TJ/F186 9.5641 Tf 5.145 0 Td [(\022)]TJ/F183 9.5641 Tf 4.572 0 Td [(@)]TJ/F182 9.5641 Tf 5.621 0.252 Td [(O)]TJ/F135 8.2889 Tf -0.476 -0.252 Td [(c)]TJ/F183 9.5641 Tf 6.714 13.495 Td [(@)]TJ/F182 9.5641 Tf 5.621 0.252 Td [(O)]TJ/F135 8.2889 Tf -0.476 -0.252 Td [(c)]TJ ET q 1 0 0 1 200.09 61.338 cm []0 d 0 J 0.44 w 0 0 m 9.655 0 l S Q BT /F183 9.5641 Tf 200.09 52.156 Td [(@)]TJ/F135 8.2889 Tf 5.146 0 Td [(y)]TJ/F182 9.5641 Tf 7.83 6.791 Td [(C)]TJ/F183 9.5641 Tf 10.781 6.704 Td [(@)]TJ/F20 5.8022 Tf 5.145 3.472 Td [(2)]TJ/F39 8.2889 Tf 3.858 -3.472 Td [(F)]TJ ET q 1 0 0 1 223.847 61.338 cm []0 d 0 J 0.44 w 0 0 m 14.047 0 l S Q BT /F183 9.5641 Tf 224.301 50.514 Td [(@)]TJ/F182 9.5641 Tf 5.621 0.252 Td [(O)]TJ/F135 8.2889 Tf -0.476 -0.252 Td [(c)]TJ/F20 5.8022 Tf 4.136 4.831 Td [(2)]TJ/F183 9.5641 Tf 6.889 10.306 Td [(@)]TJ/F182 9.5641 Tf 5.621 0.252 Td [(O)]TJ/F135 8.2889 Tf -0.475 -0.252 Td [(c)]TJ ET q 1 0 0 1 240.285 61.338 cm []0 d 0 J 0.44 w 0 0 m 9.655 0 l S Q BT /F183 9.5641 Tf 240.285 52.156 Td [(@)]TJ/F135 8.2889 Tf 5.145 0 Td [(y)]TJ/F183 9.5641 Tf 7.118 13.495 Td [(@)]TJ/F182 9.5641 Tf 5.621 0.252 Td [(O)]TJ/F135 8.2889 Tf -0.476 -0.252 Td [(c)]TJ ET q 1 0 0 1 252.33 61.338 cm []0 d 0 J 0.44 w 0 0 m 9.717 0 l S Q BT /F183 9.5641 Tf 252.33 52.156 Td [(@)]TJ/F186 9.5641 Tf 5.146 0 Td [(\022)]TJ/F182 9.5641 Tf 7.892 6.791 Td [(C)]TJ/F183 9.5641 Tf 10.781 6.704 Td [(@)]TJ/F39 8.2889 Tf 5.146 0 Td [(F)]TJ ET q 1 0 0 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[(underestimates)-228(the)-228(variance)-228(of)]TJ/F182 9.5641 Tf 119.749 0.252 Td [(O)]TJ/F135 8.2889 Tf -0.476 -0.252 Td [(c)]TJ/F20 8.2889 Tf 4.136 0 Td [(,)-228(because)-228(it)-228(ignores)-229(the)-228(uncertainty)-228(of)]TJ/F182 9.5641 Tf 144.265 2.267 Td [(O)]TJ/F186 9.5641 Tf -0.693 -2.267 Td [(\022)]TJ/F20 8.2889 Tf 4.571 0 Td [(.)-228(The)]TJ ET 1 0 0 1 37.134 259.153 cm 0 g 0 G 0 g 0 G 1 0 0 1 -37.134 -259.153 cm BT /F20 8.2889 Tf 37.134 248.692 Td [(pointwise)-250(estimate)-250(for)-250(the)-250(standard)-250(error)-250(of)]TJ/F39 8.2889 Tf 169.2 0 Td [(x)]TJ/F183 9.5641 Tf 4.07 0 Td [(.)]TJ/F39 8.2889 Tf 3.567 0 Td [(t)]TJ/F183 9.5641 Tf 3.643 0 Td [(/)]TJ/F20 8.2889 Tf 5.64 0 Td [(is)-250(given)-250(by)]TJ ET 1 0 0 1 37.134 248.692 cm 0 g 0 G 0 g 0 G 1 0 0 1 -37.134 -248.692 cm BT /F182 9.5641 Tf 62.627 227.545 Td [(O)]TJ/F183 9.5641 Tf -1.583 0 Td [(\033)]TJ/F20 5.8022 Tf 6.351 3.95 Td [(2)]TJ/F39 5.8022 Tf -1.244 -6.523 Td [(x)]TJ/F183 9.5641 Tf 5.101 2.573 Td [(.)]TJ/F39 8.2889 Tf 3.568 0 Td [(t)]TJ/F183 9.5641 Tf 3.643 0 Td [(/)]TJ/F182 9.5641 Tf 6.224 0 Td [(D)]TJ/F186 9.5641 Tf 10.116 0 Td [(\036)]TJ/F182 6.6948 Tf 5.863 3.986 Td [(0)]TJ/F183 9.5641 Tf 2.306 -3.986 Td [(.)]TJ/F39 8.2889 Tf 3.567 0 Td [(t)]TJ/F183 9.5641 Tf 3.643 0 Td [(/)]TJ/F199 9.5641 Tf 5.162 13.428 Td [(\022)]TJ/F20 8.2889 Tf 7.837 -6.724 Td [(d)]TJ/F182 9.5641 Tf 5.408 0.252 Td [(O)]TJ/F135 8.2889 Tf -0.476 -0.252 Td [(c)]TJ ET q 1 0 0 1 122.995 229.936 cm []0 d 0 J 0.44 w 0 0 m 9.441 0 l S Q BT /F20 8.2889 Tf 122.995 220.754 Td [(d)]TJ/F135 8.2889 Tf 4.932 0 Td [(y)]TJ/F199 9.5641 Tf 5.704 20.219 Td [(\023)]TJ/F182 9.5641 Tf 10.16 -11.749 Td [(O)]TJ/F186 9.0859 Tf -2.11 -1.679 Td [(\006)]TJ/F199 9.5641 Tf 8.999 13.428 Td [(\022)]TJ/F20 8.2889 Tf 7.838 -6.724 Td [(d)]TJ/F182 9.5641 Tf 5.408 0.252 Td [(O)]TJ/F135 8.2889 Tf -0.476 -0.252 Td [(c)]TJ ET q 1 0 0 1 158.332 229.936 cm []0 d 0 J 0.44 w 0 0 m 9.441 0 l S Q BT /F20 8.2889 Tf 158.332 220.754 Td [(d)]TJ/F135 8.2889 Tf 4.931 0 Td [(y)]TJ/F199 9.5641 Tf 5.705 20.219 Td [(\023)]TJ/F182 6.6948 Tf 6.456 -1.893 Td [(0)]TJ/F186 9.5641 Tf 3.9 -11.535 Td [(\036)]TJ/F183 9.5641 Tf 5.862 0 Td [(.)]TJ/F39 8.2889 Tf 3.568 0 Td [(t)]TJ/F183 9.5641 Tf 3.643 0 Td [(/:)]TJ ET 1 0 0 1 37.134 227.545 cm 0 g 0 G 0 g 0 G 1 0 0 1 -37.134 -227.545 cm BT /F135 8.2889 Tf 37.134 196.224 Td [(4.)-500(Simulations)]TJ ET 1 0 0 1 37.134 196.224 cm 0 g 0 G 0 g 0 G 1 0 0 1 -37.134 -196.224 cm BT /F39 8.2889 Tf 37.134 177.017 Td [(4.1.)-500(A)-250(simulated)-250(global)-250(penalized)-250(smoothing)-250(problem)]TJ ET 1 0 0 1 37.134 177.017 cm 0 g 0 G 0 g 0 G 1 0 0 1 -37.134 -177.017 cm BT /F20 8.2889 Tf 49.089 157.049 Td [(One)-350(function)-349(in)-350(the)-349(example)-350(of)]TJ ET 1 0 0 1 174.005 157.049 cm 0 0 .4 rg 0 0 .4 RG 1 0 0 1 -174.005 -157.049 cm BT /F20 8.2889 Tf 174.005 157.049 Td [(Wahba)]TJ ET 1 0 0 1 201.051 157.049 cm 0 g 0 G 1 0 0 1 2.898 0 cm 0 0 .4 rg 0 0 .4 RG 0 g 0 G 1 0 0 1 -203.949 -157.049 cm BT /F20 8.2889 Tf 203.949 157.049 Td [(\050)]TJ ET 1 0 0 1 207.016 157.049 cm 0 0 .4 rg 0 0 .4 RG 1 0 0 1 -207.016 -157.049 cm BT /F20 8.2889 Tf 207.016 157.049 Td [(1983)]TJ ET 1 0 0 1 226.213 157.049 cm 0 g 0 G 1 0 0 1 -226.213 -157.049 cm BT /F20 8.2889 Tf 226.213 157.049 Td [(\051,)-350(which)-349(is)]TJ/F183 9.5641 Tf 43.498 0 Td [(\026.)]TJ/F39 8.2889 Tf 10.128 0 Td [(t)]TJ/F183 9.5641 Tf 3.643 0 Td [(/)]TJ/F182 9.5641 Tf 8.34 0 Td [(D)]TJ/F20 8.2889 Tf 12.233 0 Td [(1)]TJ/F183 9.5641 Tf 4.799 0 Td [(=)]TJ/F20 8.2889 Tf 4.495 0 Td [(3)]TJ/F183 9.5641 Tf 4.799 0 Td [(\014)]TJ/F20 5.8022 Tf 5.395 -1.435 Td [(10)]TJ/F183 6.6948 Tf 6.718 0 Td [(;)]TJ/F20 5.8022 Tf 2.216 0 Td [(5)]TJ/F183 9.5641 Tf 3.858 1.435 Td [(.)]TJ/F39 8.2889 Tf 3.567 0 Td [(t)]TJ/F183 9.5641 Tf 3.643 0 Td [(/)]TJ/F182 9.5641 Tf 6.539 0 Td [(C)]TJ/F20 8.2889 Tf 10.432 0 Td [(1)]TJ/F183 9.5641 Tf 4.799 0 Td [(=)]TJ/F20 8.2889 Tf 4.496 0 Td [(3)]TJ/F183 9.5641 Tf 4.799 0 Td [(\014)]TJ/F20 5.8022 Tf 5.394 -1.435 Td [(7)]TJ/F183 6.6948 Tf 3.359 0 Td [(;)]TJ/F20 5.8022 Tf 2.216 0 Td [(7)]TJ/F183 9.5641 Tf 3.858 1.435 Td [(.)]TJ/F39 8.2889 Tf 3.567 0 Td [(t)]TJ/F183 9.5641 Tf 3.643 0 Td [(/)]TJ/F182 9.5641 Tf 6.539 0 Td [(C)]TJ/F20 8.2889 Tf 10.432 0 Td [(1)]TJ/F183 9.5641 Tf 4.799 0 Td [(=)]TJ/F20 8.2889 Tf 4.495 0 Td [(3)]TJ/F183 9.5641 Tf 4.8 0 Td [(\014)]TJ/F20 5.8022 Tf 5.394 -1.435 Td [(5)]TJ/F183 6.6948 Tf 3.359 0 Td [(;)]TJ/F20 5.8022 Tf 2.216 0 Td [(10)]TJ/F183 9.5641 Tf 7.217 1.435 Td [(.)]TJ/F39 8.2889 Tf 3.568 0 Td [(t)]TJ/F183 9.5641 Tf 3.643 0 Td [(/)]TJ/F20 8.2889 Tf 3.567 0 Td [(,)]TJ/F39 8.2889 Tf 4.838 0 Td [(t)]TJ/F182 9.5641 Tf 8.415 0 Td [(2)-499(T)]TJ/F20 8.2889 Tf 13.974 0 Td [(0)]TJ/F183 9.5641 Tf 4.799 0 Td [(;)]TJ/F20 8.2889 Tf 4.76 0 Td [(1)]TJ/F182 9.5641 Tf 4.799 0 Td [(U)]TJ/F20 8.2889 Tf 3.185 0 Td [(,)]TJ ET 1 0 0 1 37.134 157.049 cm 0 g 0 G 0 g 0 G 1 0 0 1 -37.134 -157.049 cm BT /F20 8.2889 Tf 37.134 146.588 Td [(is)-411(used)-412(to)-411(generate)-412(1000)-411(simulated)-412(data)-411(sets)-412(by)-411(adding)-412(Gaussian)-411(noise)-412(with)-411(a)-411(standard)-412(deviation)-411(of)-412(1)-411(to)-412(129)-411(equally)]TJ ET 1 0 0 1 37.134 146.588 cm 0 g 0 G 0 g 0 G 1 0 0 1 -37.134 -146.588 cm BT /F20 8.2889 Tf 37.134 136.127 Td [(spaced)-262(points)-262(in)]TJ/F182 9.5641 Tf 64.195 0 Td [(T)]TJ/F20 8.2889 Tf 3.185 0 Td [(0)]TJ/F183 9.5641 Tf 4.799 0 Td [(;)]TJ/F20 8.2889 Tf 4.76 0 Td [(1)]TJ/F182 9.5641 Tf 4.799 0 Td [(U)]TJ/F20 8.2889 Tf 3.185 0 Td [(.)-262(Here)]TJ/F183 9.5641 Tf 24.598 0 Td [(\014)]TJ/F39 5.8022 Tf 5.394 -1.435 Td [(a)]TJ/F183 6.6948 Tf 3.093 0 Td [(;)]TJ/F39 5.8022 Tf 2.216 0 Td [(b)]TJ/F183 9.5641 Tf 3.648 1.435 Td [(.)]TJ/F39 8.2889 Tf 3.568 0 Td [(t)]TJ/F183 9.5641 Tf 3.643 0 Td [(/)]TJ/F20 8.2889 Tf 5.741 0 Td [(indicates)-262(the)-262(Beta)-263(probability)-262(density)-262(function)-262(with)-263(parameters)]TJ/F39 8.2889 Tf 244.414 0 Td [(a)]TJ/F20 8.2889 Tf 6.592 0 Td [(and)]TJ/F39 8.2889 Tf 16.422 0 Td [(b)]TJ/F20 8.2889 Tf 4.501 0 Td [(.)]TJ ET 1 0 0 1 450.009 136.127 cm 0 0 .4 rg 0 0 .4 RG 1 0 0 1 -450.009 -136.127 cm BT /F20 8.2889 Tf 450.009 136.127 Td [(Fig.)-262(3)]TJ ET 1 0 0 1 470.128 136.127 cm 0 g 0 G 1 0 0 1 -470.128 -136.127 cm BT /F20 8.2889 Tf 472.302 136.127 Td [(displays)]TJ ET 1 0 0 1 37.134 136.127 cm 0 g 0 G 0 g 0 G 1 0 0 1 -37.134 -136.127 cm BT /F20 8.2889 Tf 37.134 125.666 Td [(a)-408(typical)-408(set)-408(of)-408(noisy)-408(data.)-409(The)-408(estimate)-407(for)]TJ/F183 9.5641 Tf 176.101 0 Td [(!)]TJ/F182 9.5641 Tf 12.469 0 Td [(D)]TJ/F20 8.2889 Tf 13.474 0 Td [(ln)]TJ/F183 9.5641 Tf 7.501 0 Td [(.\025/)]TJ/F20 8.2889 Tf 15.748 0 Td [(is)]TJ/F182 9.5641 Tf 9.565 0 Td [(\000)]TJ/F20 8.2889 Tf 7.46 0 Td [(4)]TJ/F183 9.5641 Tf 4.799 0 Td [(:)]TJ/F20 8.2889 Tf 2.63 0 Td [(0)-408(with)-408(95%)-408(confidence)-408(interval)]TJ/F182 9.5641 Tf 125.4 0 Td [(T\000)]TJ/F20 8.2889 Tf 10.645 0 Td [(6)]TJ/F183 9.5641 Tf 4.799 0 Td [(:)]TJ/F20 8.2889 Tf 2.63 0 Td [(8)]TJ/F183 9.5641 Tf 4.799 0 Td [(;)]TJ/F182 9.5641 Tf 4.76 0 Td [(\000)]TJ/F20 8.2889 Tf 7.46 0 Td [(1)]TJ/F183 9.5641 Tf 4.799 0 Td [(:)]TJ/F20 8.2889 Tf 2.63 0 Td [(2)]TJ/F182 9.5641 Tf 4.8 0 Td [(U)]TJ/F20 8.2889 Tf 3.185 0 Td [(.)-409(Although)]TJ ET 1 0 0 1 37.134 125.666 cm 0 g 0 G 0 g 0 G 1 0 0 1 -37.134 -125.666 cm BT /F20 8.2889 Tf 37.134 115.206 Td [(the)-384(data)-385(have)-384(a)-385(large)-384(scale)-385(of)-384(noise,)-385(the)-384(regression)-385(function)-384(estimated)-385(with)-384(the)-385(global)-384(penalized)-385(smoothing)-384(is)-385(close)-384(to)]TJ ET 1 0 0 1 37.134 115.206 cm 0 g 0 G 0 g 0 G 1 0 0 1 -37.134 -115.206 cm BT /F20 8.2889 Tf 37.134 104.745 Td [(the)-429(true)-429(function.)]TJ ET 1 0 0 1 110.107 104.745 cm 0 0 .4 rg 0 0 .4 RG 1 0 0 1 -110.107 -104.745 cm BT /F20 8.2889 Tf 110.107 104.745 Td [(Fig.)-429(3)]TJ ET 1 0 0 1 131.61 104.745 cm 0 g 0 G 1 0 0 1 -131.61 -104.745 cm BT /F20 8.2889 Tf 135.168 104.745 Td [(also)-429(shows)-429(the)-430(point)-429(confidence)-429(interval)-429(for)-430(the)-429(regression)-429(functions,)-429(which)-430(is)-429(calculated)-429(by)]TJ ET 1 0 0 1 37.134 104.745 cm 0 g 0 G 0 g 0 G 1 0 0 1 -37.134 -104.745 cm BT /F182 9.5641 Tf 37.134 94.284 Td [(T)-176(O)]TJ/F183 9.5641 Tf 3.185 0 Td [(\026.)]TJ/F39 8.2889 Tf 10.128 0 Td [(t)]TJ/F183 9.5641 Tf 3.643 0 Td [(/)]TJ/F182 9.5641 Tf 6.719 0 Td [(\000)]TJ/F20 8.2889 Tf 10.612 0 Td [(1)]TJ/F183 9.5641 Tf 4.799 0 Td [(:)]TJ/F20 8.2889 Tf 2.63 0 Td [(96)]TJ/F182 9.5641 Tf 12.75 0 Td [(\003)-495(O)]TJ/F183 9.5641 Tf 8.135 0 Td [(\033)]TJ/F183 6.6948 Tf 5.107 -1.435 Td [(\026)]TJ/F183 9.5641 Tf 5.091 1.435 Td [(.)]TJ/F39 8.2889 Tf 3.567 0 Td [(t)]TJ/F183 9.5641 Tf 3.643 0 Td [(/;)]TJ/F182 9.5641 Tf 10.015 0 Td [(O)]TJ/F183 9.5641 Tf -1.688 0 Td [(\026.)]TJ/F39 8.2889 Tf 10.129 0 Td [(t)]TJ/F183 9.5641 Tf 3.643 0 Td [(/)]TJ/F182 9.5641 Tf 6.719 0 Td [(C)]TJ/F20 8.2889 Tf 10.611 0 Td [(1)]TJ/F183 9.5641 Tf 4.8 0 Td [(:)]TJ/F20 8.2889 Tf 2.63 0 Td [(96)]TJ/F182 9.5641 Tf 12.75 0 Td [(\003)-495(O)]TJ/F183 9.5641 Tf 8.134 0 Td [(\033)]TJ/F183 6.6948 Tf 5.108 -1.435 Td [(\026)]TJ/F183 9.5641 Tf 5.09 1.435 Td [(.)]TJ/F39 8.2889 Tf 3.568 0 Td [(t)]TJ/F183 9.5641 Tf 3.643 0 Td [(/)]TJ/F182 9.5641 Tf 3.567 0 Td [(U)]TJ/F20 8.2889 Tf 3.185 0 Td [(.)-371(We)-371(define)-371(the)-371(coverage)-370(probability)-371(as)-371(the)-370(percentage)-371(of)-371(the)-371(values)-370(of)-371(the)]TJ ET 1 0 0 1 37.134 94.284 cm 0 g 0 G 0 g 0 G 1 0 0 1 -37.134 -94.284 cm BT /F20 8.2889 Tf 37.134 83.823 Td [(true)-305(function)-305(at)-305(129)-304(points)-305(covered)-305(by)-305(the)-305(pointwise)-305(confidence)-305(intervals,)-305(averaged)-304(over)-305(1000)-305(simulations.)-305(The)-305(coverage)]TJ ET 1 0 0 1 37.134 83.823 cm 0 g 0 G 0 g 0 G 1 0 0 1 -37.134 -83.823 cm BT /F20 8.2889 Tf 37.134 73.362 Td [(probability)-349(is)-349(94.6%)-349(when)-348(the)-349(confidence)-349(interval)-349(calculated)-349(with)-349(the)-349(generalized)-349(profiling)-349(meth)1(od,)-349(while)-349(the)-349(empirical)]TJ ET 1 0 0 1 37.134 73.362 cm 0 g 0 G 0 g 0 G 1 0 0 1 -37.134 -73.362 cm BT /F20 8.2889 Tf 37.134 62.902 Td [(Bayesian)-298(method)-298(only)-298(leads)-298(to)-298(91.5%)-298(coverage)-298(probability.)-298(This)-298(is)-298(because)-298(our)-298(standard)-298(error)-298(estimate)]TJ/F182 9.5641 Tf 397.515 0 Td [(O)]TJ/F183 9.5641 Tf -1.582 0 Td [(\033)]TJ/F183 6.6948 Tf 5.107 -1.435 Td [(\026)]TJ/F183 9.5641 Tf 5.091 1.435 Td [(.)]TJ/F39 8.2889 Tf 3.567 0 Td [(t)]TJ/F183 9.5641 Tf 3.643 0 Td [(/)]TJ/F20 8.2889 Tf 6.037 0 Td [(includes)-298(the)]TJ ET 1 0 0 1 37.134 62.902 cm 0 g 0 G 0 g 0 G 1 0 0 1 -37.134 -62.902 cm BT /F20 8.2889 Tf 37.134 52.441 Td [(uncertainty)-250(of)-250(the)-250(smoothing)-250(parameter)-250(estimates.)]TJ ET 1 0 0 1 37.134 52.441 cm 0 g 0 G 0 g 0 G 1 0 0 1 0 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Qc8aBbOkLp'\Xn tJ݄lX!ϝR[R1Y4,OgR}7\`lIMPTH )X#C/2E2JZ&f%SӡkdDjnOkcIaE5,X_w&j"zL+Ia)2\UjtR>#r?dg@ʕ 0˗U?Ĕ>ʄQٛLM?XP%\攑 ˏy8s߈DKiX|(NL45ۍt_&"j/N=HaÝGӛABFϤn!'s%ժ6ڠ!MH*@}߃i"P#\E!Y"ZT-8j0ͰJNejQ.B!U iYCqT |+!˲qTzo 99L:SEQt>Zh((J$A?55 >Գ%@x<ƍȣ((5w8?z'MT((ϗ>l0ӱcǙ3g޽CAQEQ111QQQ 4hҤҥK~ x*YTQEQ =߾}w^؀cǾ|EQEP8qN`ĉ] GQEQH[|VV@||z͛/<;;MQEQ[>stream uuid:ABF777FDD02D11DD90A5DAE227FC53A8 uuid:ABF777FED02D11DD90A5DAE227FC53A8 uuid:ABF777FAD02D11DD90A5DAE227FC53A8 uuid:ABF777F9D02D11DD90A5DAE227FC53A8 2008-12-20T13:37:30+05:30 2008-12-20T13:37:30+05:30 2008-12-20T13:37:30+05:30 Adobe Photoshop CS2 Macintosh image/epsf 3 ECI-RGB.icc 1 2000000/10000 2000000/10000 2 256,257,258,259,262,274,277,284,530,531,282,283,296,301,318,319,529,532,306,270,271,272,305,315,33432;13EFCDD8EAEEA7F9E8749BE6E550138C 686 446 -1 36864,40960,40961,37121,37122,40962,40963,37510,40964,36867,36868,33434,33437,34850,34852,34855,34856,37377,37378,37379,37380,37381,37382,37383,37384,37385,37386,37396,41483,41484,41486,41487,41488,41492,41493,41495,41728,41729,41730,41985,41986,41987,41988,41989,41990,41991,41992,41993,41994,41995,41996,42016,0,2,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,20,22,23,24,25,26,27,28,30;95731A1E2DE01BDEC5A43107B3D2A7FF endstream endobj 210 0 obj <> endobj 211 0 obj <> endobj 212 0 obj <>stream 1 0 0 1 37.134 702.503 cm 0 g 0 G 1 0 0 1 -37.134 -702.503 cm BT /F39 6.6311 Tf 145.791 702.503 Td [(J.)-250(Cao,)-250(J.O.)-250(Ramsay)-250(/)-250(Computational)-250(Statistics)-250(and)-250(Data)-250(Analysis)-250(53)-250(\0502009\051)-250(2550\0252562)]TJ/F20 6.6311 Tf 342.237 0 Td [(2557)]TJ ET 1 0 0 1 503.385 702.503 cm 0 g 0 G 1 0 0 1 -466.251 -11.955 cm 0 g 0 G 1 0 0 1 109.646 -161.556 cm q 1 0 0 1 0 0 cm q 1 0 0 1 0 0 cm /Im6 Do Q Q 1 0 0 1 -146.78 -528.992 cm BT /F135 6.6311 Tf 37.134 512.056 Td 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[(The)-250(authors)-250(thank)-250(Dr.)-250(David)-250(Ruppert)-250(for)-250(contributing)-250(the)-250(LIDAR)-250(data)-250(analyzed)-250(in)-250(the)-250(article.)]TJ ET 1 0 0 1 37.134 367.215 cm 0 g 0 G 0 g 0 G 1 0 0 1 -37.134 -367.215 cm BT /F135 8.2889 Tf 37.134 345.347 Td [(Appendix)-250(A.)-500(Derivative)-250(calculations)-250(for)-250(estimating)-250(variances)-250(of)-250(global)-250(and)-250(local)-250(parameters)]TJ ET 1 0 0 1 37.134 345.347 cm 0 g 0 G 0 g 0 G 1 0 0 1 -37.134 -345.347 cm BT /F20 8.2889 Tf 49.089 324.925 Td [(The)-215(formulas)]TJ ET 1 0 0 1 100.656 324.925 cm 0 0 .4 rg 0 0 .4 RG 1 0 0 1 -100.656 -324.925 cm BT /F20 8.2889 Tf 100.656 324.925 Td [(\0507\051)]TJ ET 1 0 0 1 111.581 324.925 cm 0 g 0 G 1 0 0 1 -111.581 -324.925 cm BT /F20 8.2889 Tf 113.364 324.925 Td [(and)]TJ ET 1 0 0 1 129.396 324.925 cm 0 0 .4 rg 0 0 .4 RG 1 0 0 1 -129.396 -324.925 cm BT /F20 8.2889 Tf 129.396 324.925 Td [(\0508\051)]TJ ET 1 0 0 1 140.32 324.925 cm 0 g 0 G 1 0 0 1 -140.32 -324.925 cm BT /F20 8.2889 Tf 142.103 324.925 Td [(for)-215(d)]TJ/F20 5.8022 Tf 17.574 3.472 Td [(2)]TJ/F39 8.2889 Tf 3.857 -3.472 Td [(F)]TJ/F183 9.5641 Tf 5.044 0 Td [(=)]TJ/F20 8.2889 Tf 4.495 0 Td [(d)]TJ/F186 9.5641 Tf 4.932 0 Td [(\022)]TJ/F20 5.8022 Tf 4.572 4.082 Td [(2)]TJ/F20 8.2889 Tf 5.64 -4.082 Td [(and)-215(d)]TJ/F20 5.8022 Tf 20.964 3.472 Td [(2)]TJ/F39 8.2889 Tf 3.858 -3.472 Td [(F)]TJ/F183 9.5641 Tf 5.043 0 Td [(=)]TJ/F20 8.2889 Tf 4.495 0 Td [(d)]TJ/F186 9.5641 Tf 4.932 0 Td [(\022)]TJ/F20 8.2889 Tf 4.572 0 Td [(d)]TJ/F135 8.2889 Tf 4.932 0 Td [(y)]TJ/F20 8.2889 Tf 6.292 0 Td [(involve)-215(the)-215(terms)]TJ/F183 9.5641 Tf 68.088 0 Td [(@)]TJ/F182 9.5641 Tf 5.621 0.252 Td [(O)]TJ/F135 8.2889 Tf -0.476 -0.252 Td [(c)]TJ/F183 9.5641 Tf 4.136 0 Td [(=@)]TJ/F135 8.2889 Tf 9.641 0 Td [(y)]TJ/F20 8.2889 Tf 4.509 0 Td [(,)]TJ/F183 9.5641 Tf 3.723 0 Td [(@)]TJ/F20 5.8022 Tf 5.146 3.472 Td [(2)]TJ/F182 9.5641 Tf 4.333 -3.22 Td [(O)]TJ/F135 8.2889 Tf -0.476 -0.252 Td [(c)]TJ/F183 9.5641 Tf 4.136 0 Td [(=@)]TJ/F186 9.5641 Tf 9.641 0 Td [(\022)]TJ/F20 5.8022 Tf 4.572 4.082 Td [(2)]TJ/F20 8.2889 Tf 5.64 -4.082 Td [(and)]TJ/F183 9.5641 Tf 16.032 0 Td [(@)]TJ/F20 5.8022 Tf 5.146 3.472 Td [(2)]TJ/F182 9.5641 Tf 4.333 -3.22 Td [(O)]TJ/F135 8.2889 Tf -0.476 -0.252 Td [(c)]TJ/F183 9.5641 Tf 4.136 0 Td [(=@)]TJ/F186 9.5641 Tf 9.641 0 Td [(\022)]TJ/F183 9.5641 Tf 4.571 0 Td [(@)]TJ/F135 8.2889 Tf 5.146 0 Td [(y)]TJ/F20 8.2889 Tf 4.509 0 Td [(.)-215(In)-215(the)-216(following,)-215(we)]TJ ET 1 0 0 1 37.134 324.925 cm 0 g 0 G 0 g 0 G 1 0 0 1 -37.134 -324.925 cm BT /F20 8.2889 Tf 37.134 314.464 Td [(derive)-250(the)-250(formulas)-250(for)-250(these)-250(three)-250(terms.)]TJ ET 1 0 0 1 37.134 314.464 cm 0 g 0 G 0 g 0 G 1 0 0 1 -37.134 -314.464 cm BT /F20 8.2889 Tf 49.089 304.103 Td [(We)-197(introduce)-197(the)-197(following)-197(convention,)-197(which)-197(is)-197(called)]TJ/F39 8.2889 Tf 208.842 0 Td [(Einstein)-197(Summation)-197(Notation)]TJ/F20 8.2889 Tf 106.544 0 Td [(.)-197(If)-197(a)-197(Latin)-197(index)-197(is)-197(repeated)-197(in)-197(a)-197(term,)]TJ ET 1 0 0 1 37.134 304.103 cm 0 g 0 G 0 g 0 G 1 0 0 1 -37.134 -304.103 cm BT /F20 8.2889 Tf 37.134 293.643 Td [(then)-259(it)-259(is)-259(understood)-260(as)-259(a)-259(summation)-259(with)-259(respect)-259(to)-260(that)-259(index.)-259(For)-259(instance,)-259(instead)-259(of)-260(the)-259(expression)]TJ/F199 9.5641 Tf 395.164 7.173 Td [(P)]TJ/F39 5.8022 Tf 9.994 -9.899 Td [(i)]TJ/F39 8.2889 Tf 3.752 2.726 Td [(a)]TJ/F39 5.8022 Tf 4.418 -1.435 Td [(i)]TJ/F39 8.2889 Tf 2.157 1.435 Td [(x)]TJ/F39 5.8022 Tf 4.07 -1.435 Td [(i)]TJ/F20 8.2889 Tf 2.158 1.435 Td [(,)-259(we)-259(merely)]TJ ET 1 0 0 1 37.134 293.643 cm 0 g 0 G 0 g 0 G 1 0 0 1 -37.134 -293.643 cm BT /F20 8.2889 Tf 37.134 283.182 Td [(write)]TJ/F39 8.2889 Tf 22.529 0 Td [(a)]TJ/F39 5.8022 Tf 4.418 -1.435 Td [(i)]TJ/F39 8.2889 Tf 2.157 1.435 Td [(x)]TJ/F39 5.8022 Tf 4.07 -1.435 Td [(i)]TJ/F20 8.2889 Tf 2.158 1.435 Td [(.)]TJ ET 1 0 0 1 37.134 283.182 cm 0 g 0 G 0 g 0 G 1 0 0 1 3.188 -15.319 cm 0 g 0 G 1 0 0 1 -40.322 -267.863 cm BT /F182 9.5641 Tf 40.322 267.863 Td [(\017)]TJ ET 1 0 0 1 45.104 267.863 cm 0 g 0 G 1 0 0 1 -45.104 -267.863 cm BT /F183 6.6948 Tf 50.415 271.726 Td [(@)]TJ/F182 6.6948 Tf 3.935 0.177 Td [(O)]TJ/F135 5.8022 Tf -0.333 -0.177 Td [(c)]TJ ET q 1 0 0 1 50.285 270.254 cm []0 d 0 J 0.44 w 0 0 m 6.758 0 l S Q BT /F183 6.6948 Tf 50.285 264.467 Td [(@)]TJ/F135 5.8022 Tf 3.601 0 Td [(y)]TJ ET 1 0 0 1 37.134 267.863 cm 0 g 0 G 0 g 0 G 1 0 0 1 -37.134 -267.863 cm BT /F20 8.2889 Tf 61.044 255.231 Td [(Since)-305(the)-304(optimal)-305(nuisance)-305(parameter)-304(vector)]TJ/F182 9.5641 Tf 175.678 0.252 Td [(O)]TJ/F135 8.2889 Tf -0.476 -0.252 Td [(c)]TJ/F20 8.2889 Tf 6.662 0 Td [(satisfying)]TJ/F183 9.5641 Tf 39.095 0 Td [(@)]TJ/F39 8.2889 Tf 5.146 0 Td [(H)]TJ/F183 9.5641 Tf 6.602 0 Td [(.)]TJ/F135 8.2889 Tf 3.567 0 Td [(c)]TJ/F182 9.5641 Tf 4.136 0 Td [(j)]TJ/F186 9.5641 Tf 2.736 0 Td [(\022)]TJ/F183 9.5641 Tf 4.571 0 Td [(;)]TJ/F135 8.2889 Tf 4.76 0 Td [(y)]TJ/F183 9.5641 Tf 4.509 0 Td [(/=@)]TJ/F135 8.2889 Tf 13.208 0 Td [(c)]TJ/F182 9.5641 Tf 7.955 0 Td [(D)]TJ/F20 8.2889 Tf 11.279 0 Td [(0,)-305(and)]TJ/F182 9.5641 Tf 26.514 0.252 Td [(O)]TJ/F135 8.2889 Tf -0.475 -0.252 Td [(c)]TJ/F20 8.2889 Tf 6.661 0 Td [(is)-305(a)-304(function)-305(of)]TJ/F186 9.5641 Tf 60.075 0 Td [(\022)]TJ/F20 8.2889 Tf 7.097 0 Td [(and)]TJ/F135 8.2889 Tf 16.774 0 Td [(y)]TJ/F20 8.2889 Tf 4.509 0 Td [(,)-305(we)-304(can)]TJ ET 1 0 0 1 37.134 255.231 cm 0 g 0 G 0 g 0 G 1 0 0 1 -37.134 -255.231 cm BT /F20 8.2889 Tf 49.089 244.77 Td [(take)-250(the)]TJ/F135 8.2889 Tf 32.973 0 Td [(y)]TJ/F20 8.2889 Tf 4.509 0 Td [(-derivative)-250(on)]TJ/F183 9.5641 Tf 55.668 0 Td [(@)]TJ/F39 8.2889 Tf 5.146 0 Td [(H)]TJ/F183 9.5641 Tf 6.602 0 Td [(.)]TJ/F135 8.2889 Tf 3.567 0 Td [(c)]TJ/F182 9.5641 Tf 4.136 0 Td [(j)]TJ/F186 9.5641 Tf 2.735 0 Td [(\022)]TJ/F183 9.5641 Tf 4.572 0 Td [(;)]TJ/F135 8.2889 Tf 4.76 0 Td [(y)]TJ/F183 9.5641 Tf 4.509 0 Td [(/=@)]TJ/F135 8.2889 Tf 13.208 0 Td [(c)]TJ/F182 9.5641 Tf 4.136 0 Td [(j)]TJ/F182 6.6948 Tf 3.068 -1.495 Td [(O)]TJ/F135 5.8022 Tf -0.333 -0.176 Td [(c)]TJ/F182 9.5641 Tf 6.05 1.671 Td [(D)]TJ/F20 8.2889 Tf 10.117 0 Td [(0)-250(as)-250(follows:)]TJ ET 1 0 0 1 37.134 244.77 cm 0 g 0 G 0 g 0 G 1 0 0 1 -37.134 -244.77 cm BT /F20 8.2889 Tf 76.449 227.343 Td [(d)]TJ ET q 1 0 0 1 74.195 223.03 cm []0 d 0 J 0.44 w 0 0 m 9.441 0 l S Q BT /F20 8.2889 Tf 74.195 213.848 Td [(d)]TJ/F135 8.2889 Tf 4.932 0 Td [(y)]TJ/F199 9.5641 Tf 7.298 20.219 Td [(\022)]TJ/F183 9.5641 Tf 8.847 -6.724 Td [(@)]TJ/F39 8.2889 Tf 5.146 0 Td [(H)]TJ/F183 9.5641 Tf 6.602 0 Td [(.)]TJ/F135 8.2889 Tf 3.567 0 Td [(c)]TJ/F182 9.5641 Tf 4.136 0 Td [(j)]TJ/F186 9.5641 Tf 2.736 0 Td [(\022)]TJ/F183 9.5641 Tf 4.571 0 Td [(;)]TJ/F135 8.2889 Tf 4.76 0 Td [(y)]TJ/F183 9.5641 Tf 4.509 0 Td [(/)]TJ ET q 1 0 0 1 95.272 223.03 cm []0 d 0 J 0.44 w 0 0 m 39.594 0 l S Q BT /F183 9.5641 Tf 110.429 213.848 Td [(@)]TJ/F135 8.2889 Tf 5.145 0 Td [(c)]TJ/F199 9.5641 Tf 20.488 20.659 Td [(\014)]TJ 0 -5.739 Td [(\014)]TJ 0 -5.738 Td [(\014)]TJ 0 -5.739 Td [(\014)]TJ/F182 6.6948 Tf 3.441 -5.896 Td [(O)]TJ/F135 5.8022 Tf -0.333 -0.177 Td [(c)]TJ/F199 9.5641 Tf 3.394 22.849 Td [(\023)]TJ/F182 9.5641 Tf 9.112 -13.428 Td [(D)]TJ/F183 9.5641 Tf 12.508 6.704 Td [(@)]TJ/F20 5.8022 Tf 5.145 3.472 Td [(2)]TJ/F39 8.2889 Tf 3.858 -3.472 Td [(H)]TJ/F183 9.5641 Tf 6.602 0 Td [(.)]TJ/F135 8.2889 Tf 3.567 0 Td [(c)]TJ/F182 9.5641 Tf 4.136 0 Td [(j)]TJ/F186 9.5641 Tf 2.736 0 Td [(\022)]TJ/F183 9.5641 Tf 4.571 0 Td [(;)]TJ/F135 8.2889 Tf 4.76 0 Td [(y)]TJ/F183 9.5641 Tf 4.509 0 Td [(/)]TJ ET q 1 0 0 1 164.184 223.03 cm []0 d 0 J 0.44 w 0 0 m 43.452 0 l S Q BT /F183 9.5641 Tf 176.442 213.848 Td [(@)]TJ/F135 8.2889 Tf 5.145 0 Td [(c)]TJ/F183 9.5641 Tf 4.136 0 Td [(@)]TJ/F135 8.2889 Tf 5.146 0 Td [(y)]TJ/F199 9.5641 Tf 17.962 20.659 Td [(\014)]TJ 0 -5.739 Td [(\014)]TJ 0 -5.738 Td [(\014)]TJ 0 -5.739 Td [(\014)]TJ/F182 6.6948 Tf 3.441 -5.896 Td [(O)]TJ/F135 5.8022 Tf -0.332 -0.177 Td [(c)]TJ/F182 9.5641 Tf 5.518 9.421 Td [(C)]TJ/F183 9.5641 Tf 11.977 6.704 Td [(@)]TJ/F20 5.8022 Tf 5.145 3.472 Td [(2)]TJ/F39 8.2889 Tf 3.858 -3.472 Td [(H)]TJ/F183 9.5641 Tf 6.602 0 Td [(.)]TJ/F135 8.2889 Tf 3.567 0 Td [(c)]TJ/F182 9.5641 Tf 4.136 0 Td [(j)]TJ/F186 9.5641 Tf 2.736 0 Td [(\022)]TJ/F183 9.5641 Tf 4.571 0 Td [(;)]TJ/F135 8.2889 Tf 4.76 0 Td [(y)]TJ/F183 9.5641 Tf 4.509 0 Td [(/)]TJ ET q 1 0 0 1 229.435 223.03 cm []0 d 0 J 0.44 w 0 0 m 43.452 0 l S Q BT /F183 9.5641 Tf 244.591 213.848 Td [(@)]TJ/F135 8.2889 Tf 5.145 0 Td [(c)]TJ/F20 5.8022 Tf 4.137 2.764 Td [(2)]TJ/F199 9.5641 Tf 20.209 17.895 Td [(\014)]TJ 0 -5.739 Td [(\014)]TJ 0 -5.738 Td [(\014)]TJ 0 -5.739 Td [(\014)]TJ/F182 6.6948 Tf 3.441 -5.896 Td [(O)]TJ/F135 5.8022 Tf -0.333 -0.177 Td [(c)]TJ/F183 9.5641 Tf 4.776 16.125 Td [(@)]TJ/F182 9.5641 Tf 5.621 0.252 Td [(O)]TJ/F135 8.2889 Tf -0.476 -0.252 Td [(c)]TJ ET q 1 0 0 1 281.779 223.03 cm []0 d 0 J 0.44 w 0 0 m 9.655 0 l S Q BT /F183 9.5641 Tf 281.779 213.848 Td [(@)]TJ/F135 8.2889 Tf 5.146 0 Td [(y)]TJ/F182 9.5641 Tf 8.361 6.791 Td [(D)]TJ/F20 8.2889 Tf 10.117 0 Td [(0)]TJ/F183 9.5641 Tf 4.799 0 Td [(;)]TJ/F20 8.2889 Tf 174.84 0 Td [(\050A.1\051)]TJ ET 1 0 0 1 37.134 220.639 cm 0 g 0 G 0 g 0 G 1 0 0 1 -37.134 -220.639 cm BT /F20 8.2889 Tf 49.089 197.459 Td [(which)-218(holds)-219(since)]TJ/F183 9.5641 Tf 69.417 0 Td [(@)]TJ/F39 8.2889 Tf 5.146 0 Td [(H)]TJ/F183 9.5641 Tf 6.602 0 Td [(.)]TJ/F135 8.2889 Tf 3.567 0 Td [(c)]TJ/F182 9.5641 Tf 4.137 0 Td [(j)]TJ/F186 9.5641 Tf 2.735 0 Td [(\022)]TJ/F183 9.5641 Tf 4.572 0 Td [(;)]TJ/F135 8.2889 Tf 4.759 0 Td [(y)]TJ/F183 9.5641 Tf 4.509 0 Td [(/=@)]TJ/F135 8.2889 Tf 13.208 0 Td [(c)]TJ/F182 9.5641 Tf 4.136 0 Td [(j)]TJ/F182 6.6948 Tf 3.069 -1.495 Td [(O)]TJ/F135 5.8022 Tf -0.333 -0.176 Td [(c)]TJ/F20 8.2889 Tf 5.202 1.671 Td [(is)-218(a)-219(function)-218(of)]TJ/F135 8.2889 Tf 57.211 0 Td [(y)]TJ/F20 8.2889 Tf 6.318 0 Td [(that)-218(is)-219(identic)1(ally)-219(0.)-218(Assuming)-218(that)]TJ/F199 9.5641 Tf 132.462 8.129 Td [(\014)]TJ 0 -5.738 Td [(\014)]TJ/F183 9.5641 Tf 3.109 -2.391 Td [(@)]TJ/F20 5.8022 Tf 5.145 3.472 Td [(2)]TJ/F39 8.2889 Tf 3.858 -3.472 Td [(H)]TJ/F183 9.5641 Tf 6.602 0 Td [(.)]TJ/F135 8.2889 Tf 3.567 0 Td [(c)]TJ/F182 9.5641 Tf 4.136 0 Td [(j)]TJ/F186 9.5641 Tf 2.735 0 Td [(\022)]TJ/F183 9.5641 Tf 4.572 0 Td [(;)]TJ/F135 8.2889 Tf 4.76 0 Td [(y)]TJ/F183 9.5641 Tf 4.509 0 Td [(/=@)]TJ/F135 8.2889 Tf 13.208 0 Td [(c)]TJ/F20 5.8022 Tf 4.136 3.472 Td [(2)]TJ/F182 9.5641 Tf 3.858 -3.472 Td [(j)]TJ/F182 6.6948 Tf 3.068 -1.495 Td [(O)]TJ/F135 5.8022 Tf -0.333 -0.176 Td [(c)]TJ/F199 9.5641 Tf 3.393 9.8 Td [(\014)]TJ 0 -5.738 Td [(\014)]TJ/F182 9.5641 Tf 5.765 -2.391 Td [(6)1(D)]TJ/F20 8.2889 Tf 10.117 0 Td [(0,)-218(from)-219(the)]TJ ET 1 0 0 1 37.134 197.459 cm 0 g 0 G 0 g 0 G 1 0 0 1 -37.134 -197.459 cm BT /F20 8.2889 Tf 49.089 186.998 Td [(Implicit)-250(Function)-250(Theorem)-250(we)-250(obtain)]TJ ET 1 0 0 1 37.134 186.998 cm 0 g 0 G 0 g 0 G 1 0 0 1 -37.134 -186.998 cm BT /F183 9.5641 Tf 74.381 167.887 Td [(@)]TJ/F182 9.5641 Tf 5.622 0.251 Td [(O)]TJ/F135 8.2889 Tf -0.476 -0.251 Td [(c)]TJ ET q 1 0 0 1 74.195 163.573 cm []0 d 0 J 0.44 w 0 0 m 9.655 0 l S Q BT /F183 9.5641 Tf 74.195 154.392 Td [(@)]TJ/F135 8.2889 Tf 5.145 0 Td [(y)]TJ/F182 9.5641 Tf 8.362 6.79 Td [(D)-278(\000)]TJ/F199 9.5641 Tf 19.17 13.428 Td [(\024)]TJ/F183 9.5641 Tf 7.604 -6.723 Td [(@)]TJ/F20 5.8022 Tf 5.145 3.471 Td [(2)]TJ/F39 8.2889 Tf 3.858 -3.471 Td [(H)]TJ/F183 9.5641 Tf 6.602 0 Td [(.)]TJ/F135 8.2889 Tf 3.567 0 Td [(c)]TJ/F182 9.5641 Tf 4.136 0 Td [(j)]TJ/F186 9.5641 Tf 2.736 0 Td [(\022)]TJ/F183 9.5641 Tf 4.571 0 Td [(;)]TJ/F135 8.2889 Tf 4.76 0 Td [(y)]TJ/F183 9.5641 Tf 4.509 0 Td [(/)]TJ ET q 1 0 0 1 114.476 163.573 cm []0 d 0 J 0.44 w 0 0 m 43.452 0 l S Q BT /F183 9.5641 Tf 129.632 154.392 Td [(@)]TJ/F135 8.2889 Tf 5.146 0 Td [(c)]TJ/F20 5.8022 Tf 4.136 2.764 Td [(2)]TJ/F199 9.5641 Tf 20.209 17.894 Td [(\014)]TJ 0 -5.738 Td [(\014)]TJ 0 -5.739 Td [(\014)]TJ 0 -5.738 Td [(\014)]TJ/F182 6.6948 Tf 3.441 -5.897 Td [(O)]TJ/F135 5.8022 Tf -0.333 -0.177 Td [(c)]TJ/F199 9.5641 Tf 3.394 22.849 Td [(\025)]TJ/F182 6.6948 Tf 5.212 -1.383 Td [(\000)]TJ/F20 5.8022 Tf 5.222 0 Td [(1)]TJ/F199 9.5641 Tf 5.452 1.383 Td [(\024)]TJ/F183 9.5641 Tf 7.603 -6.723 Td [(@)]TJ/F20 5.8022 Tf 5.146 3.471 Td [(2)]TJ/F39 8.2889 Tf 3.857 -3.471 Td [(H)]TJ/F183 9.5641 Tf 6.602 0 Td [(.)]TJ/F135 8.2889 Tf 3.568 0 Td [(c)]TJ/F182 9.5641 Tf 4.136 0 Td [(j)]TJ/F186 9.5641 Tf 2.735 0 Td [(\022)]TJ/F183 9.5641 Tf 4.572 0 Td [(;)]TJ/F135 8.2889 Tf 4.76 0 Td [(y)]TJ/F183 9.5641 Tf 4.509 0 Td [(/)]TJ ET q 1 0 0 1 189.114 163.573 cm []0 d 0 J 0.44 w 0 0 m 43.452 0 l S Q BT /F183 9.5641 Tf 201.372 154.392 Td [(@)]TJ/F135 8.2889 Tf 5.146 0 Td [(c)]TJ/F183 9.5641 Tf 4.136 0 Td [(@)]TJ/F135 8.2889 Tf 5.145 0 Td [(y)]TJ/F199 9.5641 Tf 17.963 20.658 Td [(\014)]TJ 0 -5.738 Td [(\014)]TJ 0 -5.739 Td [(\014)]TJ 0 -5.738 Td [(\014)]TJ/F182 6.6948 Tf 3.441 -5.897 Td [(O)]TJ/F135 5.8022 Tf -0.333 -0.177 Td [(c)]TJ/F199 9.5641 Tf 3.393 22.849 Td [(\025)]TJ/F183 9.5641 Tf 6.807 -13.428 Td [(:)]TJ/F20 8.2889 Tf 237.972 0 Td [(\050A.2\051)]TJ ET 1 0 0 1 37.134 161.182 cm 0 g 0 G 0 g 0 G 1 0 0 1 3.188 -25.307 cm 0 g 0 G 1 0 0 1 -40.322 -135.875 cm BT /F182 9.5641 Tf 40.322 135.875 Td [(\017)]TJ ET 1 0 0 1 45.104 135.875 cm 0 g 0 G 1 0 0 1 -45.104 -135.875 cm BT /F183 6.6948 Tf 52.127 139.739 Td [(@)]TJ/F182 6.6948 Tf 3.935 0.176 Td [(O)]TJ/F135 5.8022 Tf -0.333 -0.176 Td [(c)]TJ/F20 4.9734 Tf 2.895 2.976 Td [(2)]TJ ET q 1 0 0 1 50.285 138.266 cm []0 d 0 J 0.44 w 0 0 m 13.56 0 l S Q BT /F183 6.6948 Tf 50.285 132.48 Td [(@)]TJ/F186 6.6948 Tf 3.601 0 Td [(\022)]TJ/F183 6.6948 Tf 3.2 0 Td [(@)]TJ/F135 5.8022 Tf 3.602 0 Td [(y)]TJ ET 1 0 0 1 37.134 135.875 cm 0 g 0 G 0 g 0 G 1 0 0 1 -37.134 -135.875 cm BT /F20 8.2889 Tf 61.044 124.298 Td [(We)-250(take)-250(the)]TJ/F39 8.2889 Tf 48.042 0 Td [(y)]TJ/F39 5.8022 Tf 4.344 -1.435 Td [(k)]TJ/F20 8.2889 Tf 3.515 1.435 Td [(-derivative)-250(on)-250(both)-250(sides)-250(of)-250(Eq.)]TJ ET 1 0 0 1 236.628 124.298 cm 0 0 .4 rg 0 0 .4 RG 1 0 0 1 -236.628 -124.298 cm BT /F20 8.2889 Tf 236.628 124.298 Td [(\0504\051)]TJ ET 1 0 0 1 247.552 124.298 cm 0 g 0 G 1 0 0 1 -247.552 -124.298 cm BT /F20 8.2889 Tf 247.552 124.298 Td [(:)]TJ ET 1 0 0 1 37.134 124.298 cm 0 g 0 G 0 g 0 G 1 0 0 1 -37.134 -124.298 cm BT /F20 8.2889 Tf 80.786 109.044 Td [(d)]TJ/F20 5.8022 Tf 4.931 3.471 Td [(2)]TJ ET q 1 0 0 1 74.195 104.73 cm []0 d 0 J 0.44 w 0 0 m 21.971 0 l S Q BT /F20 8.2889 Tf 74.195 95.549 Td [(d)]TJ/F186 9.5641 Tf 4.932 0 Td [(\022)]TJ/F39 8.2889 Tf 4.571 0 Td [(dy)]TJ/F39 5.8022 Tf 8.952 -1.435 Td [(k)]TJ/F199 9.5641 Tf 6.305 21.653 Td [(\022)]TJ/F183 9.5641 Tf 8.847 -6.723 Td [(@)]TJ/F39 8.2889 Tf 5.145 0 Td [(H)]TJ/F183 9.5641 Tf 6.602 0 Td [(.)]TJ/F135 8.2889 Tf 3.568 0 Td [(c)]TJ/F182 9.5641 Tf 4.136 0 Td [(j)]TJ/F186 9.5641 Tf 2.735 0 Td [(\022)]TJ/F183 9.5641 Tf 4.572 0 Td [(;)]TJ/F135 8.2889 Tf 4.76 0 Td [(y)]TJ/F183 9.5641 Tf 4.509 0 Td [(/)]TJ ET q 1 0 0 1 107.802 104.73 cm []0 d 0 J 0.44 w 0 0 m 39.594 0 l S Q BT /F183 9.5641 Tf 122.958 95.549 Td [(@)]TJ/F135 8.2889 Tf 5.146 0 Td [(c)]TJ/F199 9.5641 Tf 20.488 20.658 Td [(\014)]TJ 0 -5.738 Td [(\014)]TJ 0 -5.739 Td [(\014)]TJ 0 -5.738 Td [(\014)]TJ/F182 6.6948 Tf 3.441 -5.897 Td [(O)]TJ/F135 5.8022 Tf -0.333 -0.176 Td [(c)]TJ/F199 9.5641 Tf 3.393 22.848 Td [(\023)]TJ/F182 9.5641 Tf 9.943 -13.428 Td [(D)]TJ/F183 9.5641 Tf 13.338 6.705 Td [(@)]TJ/F20 5.8022 Tf 5.145 3.471 Td [(3)]TJ/F39 8.2889 Tf 3.858 -3.471 Td [(H)]TJ/F183 9.5641 Tf 6.602 0 Td [(.)]TJ/F135 8.2889 Tf 3.567 0 Td [(c)]TJ/F182 9.5641 Tf 4.137 0 Td [(j)]TJ/F186 9.5641 Tf 2.735 0 Td [(\022)]TJ/F183 9.5641 Tf 4.572 0 Td [(;)]TJ/F135 8.2889 Tf 4.759 0 Td [(y)]TJ/F183 9.5641 Tf 4.509 0 Td [(/)]TJ ET q 1 0 0 1 178.374 104.73 cm []0 d 0 J 0.44 w 0 0 m 43.452 0 l S Q BT /F183 9.5641 Tf 184.099 95.549 Td [(@)]TJ/F135 8.2889 Tf 5.145 0 Td [(c)]TJ/F183 9.5641 Tf 4.136 0 Td [(@)]TJ/F186 9.5641 Tf 5.146 0 Td [(\022)]TJ/F183 9.5641 Tf 4.571 0 Td [(@)]TJ/F39 8.2889 Tf 5.146 0 Td [(y)]TJ/F39 5.8022 Tf 4.343 -1.435 Td [(k)]TJ/F199 9.5641 Tf 10.435 22.093 Td [(\014)]TJ 0 -5.738 Td [(\014)]TJ 0 -5.739 Td [(\014)]TJ 0 -5.738 Td [(\014)]TJ/F182 6.6948 Tf 3.442 -5.897 Td [(O)]TJ/F135 5.8022 Tf -0.333 -0.176 Td [(c)]TJ/F182 9.5641 Tf 5.518 9.42 Td [(C)]TJ/F183 9.5641 Tf 11.977 6.705 Td [(@)]TJ/F20 5.8022 Tf 5.145 3.471 Td [(3)]TJ/F39 8.2889 Tf 3.858 -3.471 Td [(H)]TJ/F183 9.5641 Tf 6.602 0 Td [(.)]TJ/F135 8.2889 Tf 3.567 0 Td [(c)]TJ/F182 9.5641 Tf 4.136 0 Td [(j)]TJ/F186 9.5641 Tf 2.736 0 Td [(\022)]TJ/F183 9.5641 Tf 4.571 0 Td [(;)]TJ/F135 8.2889 Tf 4.76 0 Td [(y)]TJ/F183 9.5641 Tf 4.509 0 Td [(/)]TJ ET q 1 0 0 1 243.625 104.73 cm []0 d 0 J 0.44 w 0 0 m 43.452 0 l S Q BT /F183 9.5641 Tf 250.335 95.549 Td [(@)]TJ/F135 8.2889 Tf 5.145 0 Td 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[(\024)]TJ/F183 9.5641 Tf 7.603 -6.723 Td [(@)]TJ/F20 5.8022 Tf 5.146 3.471 Td [(3)]TJ/F39 8.2889 Tf 3.857 -3.471 Td [(H)]TJ/F183 9.5641 Tf 6.602 0 Td [(.)]TJ/F135 8.2889 Tf 3.568 0 Td [(c)]TJ/F182 9.5641 Tf 4.136 0 Td [(j)]TJ/F186 9.5641 Tf 2.735 0 Td [(\022)]TJ/F183 9.5641 Tf 4.572 0 Td [(;)]TJ/F135 8.2889 Tf 4.759 0 Td [(y)]TJ/F183 9.5641 Tf 4.509 0 Td [(/)]TJ ET q 1 0 0 1 207.574 654.928 cm []0 d 0 J 0.44 w 0 0 m 43.452 0 l S Q BT /F183 9.5641 Tf 213.299 645.747 Td [(@)]TJ/F135 8.2889 Tf 5.145 0 Td [(c)]TJ/F183 9.5641 Tf 4.136 0 Td [(@)]TJ/F186 9.5641 Tf 5.146 0 Td [(\022)]TJ/F183 9.5641 Tf 4.571 0 Td [(@)]TJ/F39 8.2889 Tf 5.146 0 Td [(y)]TJ/F39 5.8022 Tf 4.343 -1.435 Td [(k)]TJ/F199 9.5641 Tf 10.435 22.093 Td [(\014)]TJ 0 -5.738 Td [(\014)]TJ 0 -5.739 Td [(\014)]TJ 0 -5.738 Td [(\014)]TJ/F182 6.6948 Tf 3.442 -5.897 Td [(O)]TJ/F135 5.8022 Tf -0.333 -0.176 Td [(c)]TJ/F182 9.5641 Tf 5.519 9.42 Td [(C)]TJ/F183 9.5641 Tf 11.976 6.705 Td [(@)]TJ/F20 5.8022 Tf 5.145 3.471 Td [(3)]TJ/F39 8.2889 Tf 3.858 -3.471 Td [(H)]TJ/F183 9.5641 Tf 6.602 0 Td [(.)]TJ/F135 8.2889 Tf 3.567 0 Td [(c)]TJ/F182 9.5641 Tf 4.136 0 Td [(j)]TJ/F186 9.5641 Tf 2.736 0 Td [(\022)]TJ/F183 9.5641 Tf 4.571 0 Td [(;)]TJ/F135 8.2889 Tf 4.76 0 Td [(y)]TJ/F183 9.5641 Tf 4.509 0 Td [(/)]TJ ET q 1 0 0 1 272.825 654.928 cm []0 d 0 J 0.44 w 0 0 m 43.452 0 l S Q BT /F183 9.5641 Tf 279.535 645.747 Td [(@)]TJ/F135 8.2889 Tf 5.145 0 Td [(c)]TJ/F183 9.5641 Tf 4.137 0 Td [(@)]TJ/F186 9.5641 Tf 5.145 0 Td [(\022)]TJ/F183 9.5641 Tf 4.572 0 Td [(@)]TJ/F39 8.2889 Tf 5.145 0 Td [(c)]TJ/F39 5.8022 Tf 3.73 -1.435 Td [(i)]TJ/F199 9.5641 Tf 10.063 22.093 Td [(\014)]TJ 0 -5.738 Td [(\014)]TJ 0 -5.739 Td [(\014)]TJ 0 -5.738 Td [(\014)]TJ/F182 6.6948 Tf 3.441 -5.897 Td [(O)]TJ/F135 5.8022 Tf -0.332 -0.176 Td [(c)]TJ/F183 9.5641 Tf 5.574 16.125 Td [(@)]TJ/F182 9.5641 Tf 5.71 0.174 Td [(O)]TJ/F39 8.2889 Tf -0.565 -0.174 Td [(c)]TJ/F39 5.8022 Tf 3.73 -1.435 Td [(i)]TJ ET q 1 0 0 1 325.169 654.928 cm []0 d 0 J 0.44 w 0 0 m 13.004 0 l S Q BT /F183 9.5641 Tf 325.169 645.747 Td [(@)]TJ/F39 8.2889 Tf 5.146 0 Td [(y)]TJ/F39 5.8022 Tf 4.343 -1.435 Td [(k)]TJ ET 1 0 0 1 40.867 652.537 cm 0 g 0 G 0 g 0 G 1 0 0 1 -40.867 -652.537 cm BT /F182 9.5641 Tf 117.474 622.458 Td [(C)]TJ/F183 9.5641 Tf 11.445 6.704 Td [(@)]TJ/F20 5.8022 Tf 5.145 3.472 Td [(3)]TJ/F39 8.2889 Tf 3.858 -3.472 Td [(H)]TJ/F183 9.5641 Tf 6.602 0 Td [(.)]TJ/F135 8.2889 Tf 3.567 0 Td [(c)]TJ/F182 9.5641 Tf 4.136 0 Td [(j)]TJ/F186 9.5641 Tf 2.736 0 Td [(\022)]TJ/F183 9.5641 Tf 4.571 0 Td [(;)]TJ/F135 8.2889 Tf 4.76 0 Td [(y)]TJ/F183 9.5641 Tf 4.509 0 Td [(/)]TJ ET q 1 0 0 1 128.919 624.849 cm []0 d 0 J 0.44 w 0 0 m 43.452 0 l S Q BT /F183 9.5641 Tf 137.573 615.667 Td [(@)]TJ/F135 8.2889 Tf 5.145 0 Td [(c)]TJ/F20 5.8022 Tf 4.137 2.764 Td [(2)]TJ/F183 9.5641 Tf 3.857 -2.764 Td [(@)]TJ/F39 8.2889 Tf 5.146 0 Td [(y)]TJ/F39 5.8022 Tf 4.343 -1.434 Td [(k)]TJ/F199 9.5641 Tf 13.365 22.093 Td [(\014)]TJ 0 -5.739 Td [(\014)]TJ 0 -5.738 Td [(\014)]TJ 0 -5.739 Td [(\014)]TJ/F182 6.6948 Tf 3.441 -5.896 Td [(O)]TJ/F135 5.8022 Tf -0.333 -0.177 Td [(c)]TJ/F183 9.5641 Tf 4.807 16.125 Td [(@)]TJ/F182 9.5641 Tf 5.621 0.252 Td [(O)]TJ/F135 8.2889 Tf -0.476 -0.252 Td [(c)]TJ ET q 1 0 0 1 181.263 624.849 cm []0 d 0 J 0.44 w 0 0 m 9.717 0 l S Q BT /F183 9.5641 Tf 181.263 615.667 Td [(@)]TJ/F186 9.5641 Tf 5.146 0 Td [(\022)]TJ/F182 9.5641 Tf 7.892 6.791 Td [(C)]TJ/F183 9.5641 Tf 11.977 6.704 Td [(@)]TJ/F20 5.8022 Tf 5.145 3.472 Td [(3)]TJ/F39 8.2889 Tf 3.858 -3.472 Td [(H)]TJ/F183 9.5641 Tf 6.602 0 Td [(.)]TJ/F135 8.2889 Tf 3.567 0 Td [(c)]TJ/F182 9.5641 Tf 4.136 0 Td [(j)]TJ/F186 9.5641 Tf 2.735 0 Td [(\022)]TJ/F183 9.5641 Tf 4.572 0 Td [(;)]TJ/F135 8.2889 Tf 4.76 0 Td [(y)]TJ/F183 9.5641 Tf 4.509 0 Td [(/)]TJ ET q 1 0 0 1 206.278 624.849 cm []0 d 0 J 0.44 w 0 0 m 43.452 0 l S Q BT /F183 9.5641 Tf 215.917 615.667 Td [(@)]TJ/F135 8.2889 Tf 5.146 0 Td [(c)]TJ/F20 5.8022 Tf 4.136 2.764 Td [(2)]TJ/F183 9.5641 Tf 3.858 -2.764 Td [(@)]TJ/F39 8.2889 Tf 5.145 0 Td [(c)]TJ/F39 5.8022 Tf 3.73 -1.434 Td [(i)]TJ/F199 9.5641 Tf 12.993 22.093 Td [(\014)]TJ 0 -5.739 Td [(\014)]TJ 0 -5.738 Td [(\014)]TJ 0 -5.739 Td [(\014)]TJ/F182 6.6948 Tf 3.441 -5.896 Td [(O)]TJ/F135 5.8022 Tf -0.333 -0.177 Td [(c)]TJ/F183 9.5641 Tf 5.575 16.125 Td [(@)]TJ/F182 9.5641 Tf 5.71 0.174 Td [(O)]TJ/F39 8.2889 Tf -0.565 -0.174 Td [(c)]TJ/F39 5.8022 Tf 3.73 -1.434 Td [(i)]TJ ET q 1 0 0 1 258.622 624.849 cm []0 d 0 J 0.44 w 0 0 m 13.004 0 l S Q BT /F183 9.5641 Tf 258.622 615.667 Td [(@)]TJ/F39 8.2889 Tf 5.146 0 Td [(y)]TJ/F39 5.8022 Tf 4.343 -1.434 Td [(k)]TJ/F183 9.5641 Tf 6.124 14.929 Td [(@)]TJ/F182 9.5641 Tf 5.621 0.252 Td [(O)]TJ/F135 8.2889 Tf -0.476 -0.252 Td [(c)]TJ ET q 1 0 0 1 274.017 624.849 cm []0 d 0 J 0.44 w 0 0 m 9.717 0 l S Q BT /F183 9.5641 Tf 274.017 615.667 Td [(@)]TJ/F186 9.5641 Tf 5.146 0 Td [(\022)]TJ/F199 9.5641 Tf 5.767 20.219 Td [(\025)]TJ/F20 8.2889 Tf 203.845 -13.428 Td [(\050A.4\051)]TJ ET 1 0 0 1 40.867 622.458 cm 0 g 0 G 0 g 0 G 1 0 0 1 3.188 -27.459 cm 0 g 0 G 1 0 0 1 -44.055 -594.999 cm BT /F182 9.5641 Tf 44.055 594.999 Td [(\017)]TJ ET 1 0 0 1 48.837 594.999 cm 0 g 0 G 1 0 0 1 -48.837 -594.999 cm BT /F183 6.6948 Tf 54.17 598.863 Td [(@)]TJ/F20 4.9734 Tf 3.601 2.43 Td [(2)]TJ/F182 6.6948 Tf 3.711 -2.254 Td [(O)]TJ/F135 5.8022 Tf -0.333 -0.176 Td [(c)]TJ ET q 1 0 0 1 54.017 597.39 cm []0 d 0 J 0.44 w 0 0 m 10.18 0 l S Q BT /F183 6.6948 Tf 54.017 590.462 Td [(@)]TJ/F186 6.6948 Tf 3.602 0 Td [(\022)]TJ/F20 4.9734 Tf 3.2 2.451 Td [(2)]TJ ET 1 0 0 1 40.867 594.999 cm 0 g 0 G 0 g 0 G 1 0 0 1 -40.867 -594.999 cm BT /F20 8.2889 Tf 64.777 582.08 Td [(Similar)-250(to)]TJ ET 1 0 0 1 103.9 582.08 cm 0 0 .4 rg 0 0 .4 RG 1 0 0 1 -103.9 -582.08 cm BT /F20 8.2889 Tf 103.9 582.08 Td [(\050A.4\051)]TJ ET 1 0 0 1 122.243 582.08 cm 0 g 0 G 1 0 0 1 -122.243 -582.08 cm BT /F20 8.2889 Tf 122.243 582.08 Td [(,)-250(the)-250(second)-250(partial)-250(derivative)-250(of)]TJ/F135 8.2889 Tf 124.383 0 Td [(c)]TJ/F20 8.2889 Tf 6.208 0 Td [(with)-250(respect)-250(to)]TJ/F186 9.5641 Tf 59.564 0 Td [(\022)]TJ/F20 8.2889 Tf 6.644 0 Td [(and)]TJ/F183 9.5641 Tf 16.32 0 Td [(\022)]TJ/F39 5.8022 Tf 4.208 -1.435 Td [(j)]TJ/F20 8.2889 Tf 4.248 1.435 Td [(is:)]TJ ET 1 0 0 1 40.867 582.08 cm 0 g 0 G 0 g 0 G 1 0 0 1 -40.867 -582.08 cm BT /F183 9.5641 Tf 81.981 563.016 Td [(@)]TJ/F20 5.8022 Tf 5.145 3.471 Td [(2)]TJ/F182 9.5641 Tf 4.334 -3.219 Td [(O)]TJ/F135 8.2889 Tf -0.476 -0.252 Td [(c)]TJ ET q 1 0 0 1 77.928 558.702 cm []0 d 0 J 0.44 w 0 0 m 21.246 0 l S Q BT /F183 9.5641 Tf 77.928 549.521 Td [(@)]TJ/F186 9.5641 Tf 5.145 0 Td [(\022)]TJ/F183 9.5641 Tf 4.572 0 Td [(@)-80(\022)]TJ/F39 5.8022 Tf 9.353 -1.435 Td [(j)]TJ/F182 9.5641 Tf 6.858 8.225 Td [(D)-365(\000)]TJ/F199 9.5641 Tf 20.001 13.428 Td [(\024)]TJ/F183 9.5641 Tf 7.603 -6.723 Td [(@)]TJ/F20 5.8022 Tf 5.146 3.471 Td [(2)]TJ/F39 8.2889 Tf 3.857 -3.471 Td [(H)]TJ/F183 9.5641 Tf 6.602 0 Td [(.)]TJ/F135 8.2889 Tf 3.568 0 Td [(c)]TJ/F182 9.5641 Tf 4.136 0 Td [(j)]TJ/F186 9.5641 Tf 2.735 0 Td [(\022)]TJ/F183 9.5641 Tf 4.572 0 Td [(;)]TJ/F135 8.2889 Tf 4.759 0 Td [(y)]TJ/F183 9.5641 Tf 4.51 0 Td [(/)]TJ ET q 1 0 0 1 131.46 558.702 cm []0 d 0 J 0.44 w 0 0 m 43.452 0 l S Q BT /F183 9.5641 Tf 146.616 549.521 Td [(@)]TJ/F135 8.2889 Tf 5.146 0 Td [(c)]TJ/F20 5.8022 Tf 4.136 2.764 Td [(2)]TJ/F199 9.5641 Tf 20.209 17.894 Td [(\014)]TJ 0 -5.738 Td [(\014)]TJ 0 -5.739 Td [(\014)]TJ 0 -5.738 Td [(\014)]TJ/F182 6.6948 Tf 3.442 -5.897 Td [(O)]TJ/F135 5.8022 Tf -0.333 -0.176 Td [(c)]TJ/F199 9.5641 Tf 3.393 22.848 Td [(\025)]TJ/F182 6.6948 Tf 5.213 -1.383 Td [(\000)]TJ/F20 5.8022 Tf 5.222 0 Td [(1)]TJ/F199 9.5641 Tf 5.451 1.383 Td [(\024)]TJ/F183 9.5641 Tf 7.604 -6.723 Td [(@)]TJ/F20 5.8022 Tf 5.145 3.471 Td [(3)]TJ/F39 8.2889 Tf 3.858 -3.471 Td [(H)]TJ/F183 9.5641 Tf 6.602 0 Td [(.)]TJ/F135 8.2889 Tf 3.567 0 Td [(c)]TJ/F182 9.5641 Tf 4.136 0 Td [(j)]TJ/F186 9.5641 Tf 2.736 0 Td [(\022)]TJ/F183 9.5641 Tf 4.571 0 Td [(;)]TJ/F135 8.2889 Tf 4.76 0 Td [(y)]TJ/F183 9.5641 Tf 4.509 0 Td [(/)]TJ ET q 1 0 0 1 206.099 558.702 cm []0 d 0 J 0.44 w 0 0 m 43.452 0 l S Q BT /F183 9.5641 Tf 212.561 549.521 Td [(@)]TJ/F135 8.2889 Tf 5.145 0 Td [(c)]TJ/F183 9.5641 Tf 4.136 0 Td [(@)]TJ/F186 9.5641 Tf 5.146 0 Td [(\022)]TJ/F183 9.5641 Tf 4.572 0 Td [(@)-80(\022)]TJ/F39 5.8022 Tf 9.353 -1.435 Td [(j)]TJ/F199 9.5641 Tf 9.833 22.093 Td [(\014)]TJ 0 -5.738 Td [(\014)]TJ 0 -5.739 Td [(\014)]TJ 0 -5.738 Td [(\014)]TJ/F182 6.6948 Tf 3.441 -6.263 Td [(O)]TJ/F135 5.8022 Tf -0.333 -0.176 Td [(c)]TJ/F182 9.5641 Tf 5.519 9.786 Td [(C)]TJ/F183 9.5641 Tf 11.976 6.705 Td [(@)]TJ/F20 5.8022 Tf 5.146 3.471 Td [(3)]TJ/F39 8.2889 Tf 3.857 -3.471 Td [(H)]TJ/F183 9.5641 Tf 6.602 0 Td [(.)]TJ/F135 8.2889 Tf 3.568 0 Td [(c)]TJ/F182 9.5641 Tf 4.136 0 Td [(j)]TJ/F186 9.5641 Tf 2.735 0 Td [(\022)]TJ/F183 9.5641 Tf 4.572 0 Td [(;)]TJ/F135 8.2889 Tf 4.76 0 Td [(y)]TJ/F183 9.5641 Tf 4.509 0 Td [(/)]TJ ET q 1 0 0 1 271.349 558.702 cm []0 d 0 J 0.44 w 0 0 m 43.452 0 l S Q BT /F183 9.5641 Tf 278.059 549.521 Td [(@)]TJ/F135 8.2889 Tf 5.146 0 Td [(c)]TJ/F183 9.5641 Tf 4.136 0 Td [(@)]TJ/F186 9.5641 Tf 5.146 0 Td [(\022)]TJ/F183 9.5641 Tf 4.571 0 Td [(@)]TJ/F39 8.2889 Tf 5.146 0 Td [(c)]TJ/F39 5.8022 Tf 3.73 -1.435 Td [(i)]TJ/F199 9.5641 Tf 10.063 22.093 Td [(\014)]TJ 0 -5.738 Td [(\014)]TJ 0 -5.739 Td [(\014)]TJ 0 -5.738 Td [(\014)]TJ/F182 6.6948 Tf 3.441 -5.897 Td [(O)]TJ/F135 5.8022 Tf -0.333 -0.176 Td [(c)]TJ/F183 9.5641 Tf 4.837 16.125 Td [(@)]TJ/F182 9.5641 Tf 5.71 0.174 Td [(O)]TJ/F39 8.2889 Tf -0.565 -0.174 Td [(c)]TJ/F39 5.8022 Tf 3.73 -1.435 Td [(i)]TJ ET q 1 0 0 1 323.694 558.702 cm []0 d 0 J 0.44 w 0 0 m 11.529 0 l S Q BT /F183 9.5641 Tf 323.694 549.521 Td [(@)-80(\022)]TJ/F39 5.8022 Tf 9.354 -1.435 Td [(j)]TJ ET 1 0 0 1 40.867 556.311 cm 0 g 0 G 0 g 0 G 1 0 0 1 -40.867 -556.311 cm BT /F182 9.5641 Tf 115.998 525.866 Td [(C)]TJ/F183 9.5641 Tf 11.445 6.705 Td [(@)]TJ/F20 5.8022 Tf 5.146 3.472 Td [(3)]TJ/F39 8.2889 Tf 3.857 -3.472 Td [(H)]TJ/F183 9.5641 Tf 6.602 0 Td [(.)]TJ/F135 8.2889 Tf 3.568 0 Td [(c)]TJ/F182 9.5641 Tf 4.136 0 Td [(j)]TJ/F186 9.5641 Tf 2.735 0 Td [(\022)]TJ/F183 9.5641 Tf 4.572 0 Td [(;)]TJ/F135 8.2889 Tf 4.759 0 Td [(y)]TJ/F183 9.5641 Tf 4.51 0 Td [(/)]TJ ET q 1 0 0 1 127.443 528.257 cm []0 d 0 J 0.44 w 0 0 m 43.452 0 l S Q BT /F183 9.5641 Tf 136.835 519.076 Td [(@)]TJ/F135 8.2889 Tf 5.146 0 Td [(c)]TJ/F20 5.8022 Tf 4.136 2.764 Td [(2)]TJ/F183 9.5641 Tf 3.857 -2.764 Td [(@)-80(\022)]TJ/F39 5.8022 Tf 9.354 -1.435 Td [(j)]TJ/F199 9.5641 Tf 12.763 22.093 Td [(\014)]TJ 0 -5.738 Td [(\014)]TJ 0 -5.739 Td [(\014)]TJ 0 -5.738 Td [(\014)]TJ/F182 6.6948 Tf 3.441 -6.263 Td [(O)]TJ/F135 5.8022 Tf -0.333 -0.176 Td [(c)]TJ/F183 9.5641 Tf 4.807 16.491 Td [(@)]TJ/F182 9.5641 Tf 5.621 0.252 Td [(O)]TJ/F135 8.2889 Tf -0.476 -0.252 Td [(c)]TJ ET q 1 0 0 1 179.788 528.257 cm []0 d 0 J 0.44 w 0 0 m 9.717 0 l S Q BT /F183 9.5641 Tf 179.788 519.076 Td [(@)]TJ/F186 9.5641 Tf 5.145 0 Td [(\022)]TJ/F182 9.5641 Tf 7.893 6.79 Td [(C)]TJ/F183 9.5641 Tf 11.976 6.705 Td [(@)]TJ/F20 5.8022 Tf 5.146 3.472 Td [(3)]TJ/F39 8.2889 Tf 3.857 -3.472 Td [(H)]TJ/F183 9.5641 Tf 6.602 0 Td [(.)]TJ/F135 8.2889 Tf 3.568 0 Td [(c)]TJ/F182 9.5641 Tf 4.136 0 Td [(j)]TJ/F186 9.5641 Tf 2.735 0 Td [(\022)]TJ/F183 9.5641 Tf 4.572 0 Td [(;)]TJ/F135 8.2889 Tf 4.759 0 Td [(y)]TJ/F183 9.5641 Tf 4.51 0 Td [(/)]TJ ET q 1 0 0 1 204.802 528.257 cm []0 d 0 J 0.44 w 0 0 m 43.452 0 l S Q BT /F183 9.5641 Tf 214.442 519.076 Td [(@)]TJ/F135 8.2889 Tf 5.145 0 Td [(c)]TJ/F20 5.8022 Tf 4.137 2.764 Td [(2)]TJ/F183 9.5641 Tf 3.857 -2.764 Td [(@)]TJ/F39 8.2889 Tf 5.146 0 Td [(c)]TJ/F39 5.8022 Tf 3.73 -1.435 Td [(i)]TJ/F199 9.5641 Tf 12.992 22.093 Td [(\014)]TJ 0 -5.738 Td [(\014)]TJ 0 -5.739 Td [(\014)]TJ 0 -5.738 Td [(\014)]TJ/F182 6.6948 Tf 3.442 -5.897 Td [(O)]TJ/F135 5.8022 Tf -0.333 -0.176 Td [(c)]TJ/F183 9.5641 Tf 4.837 16.125 Td [(@)]TJ/F182 9.5641 Tf 5.71 0.174 Td [(O)]TJ/F39 8.2889 Tf -0.565 -0.174 Td [(c)]TJ/F39 5.8022 Tf 3.73 -1.435 Td [(i)]TJ ET q 1 0 0 1 257.147 528.257 cm []0 d 0 J 0.44 w 0 0 m 11.529 0 l S Q BT /F183 9.5641 Tf 257.147 519.076 Td [(@)-80(\022)]TJ/F39 5.8022 Tf 9.353 -1.435 Td [(j)]TJ/F183 9.5641 Tf 4.784 14.93 Td [(@)]TJ/F182 9.5641 Tf 5.621 0.252 Td [(O)]TJ/F135 8.2889 Tf -0.475 -0.252 Td [(c)]TJ ET q 1 0 0 1 271.066 528.257 cm []0 d 0 J 0.44 w 0 0 m 9.717 0 l S Q BT /F183 9.5641 Tf 271.066 519.076 Td [(@)]TJ/F186 9.5641 Tf 5.146 0 Td [(\022)]TJ/F199 9.5641 Tf 5.767 20.218 Td [(\025)]TJ/F183 9.5641 Tf 6.806 -13.428 Td [(:)]TJ/F20 8.2889 Tf 199.99 0 Td [(\050A.5\051)]TJ ET 1 0 0 1 40.867 525.866 cm 0 g 0 G 0 g 0 G 1 0 0 1 -40.867 -525.866 cm BT /F135 8.2889 Tf 40.867 484.566 Td [(Appendix)-250(B.)-500(Matrix)-250(calculations)-250(for)-250(adaptive)-250(penalized)-250(smoothing)]TJ ET 1 0 0 1 40.867 484.566 cm 0 g 0 G 0 g 0 G 1 0 0 1 -40.867 -484.566 cm BT /F20 8.2889 Tf 52.822 461.114 Td [(We)-388(provide)-388(here)-388(the)-388(results)-388(required)-388(for)-388(estimates)-388(of)-388(pointwise)-388(standard)-388(errors)-389(of)-388(the)-388(complexity)-388(function)]TJ/F183 9.5641 Tf 426.336 0 Td [(!)-20(.)]TJ/F39 8.2889 Tf 10.023 0 Td [(t)]TJ/F183 9.5641 Tf 3.643 0 Td [(/)]TJ/F20 8.2889 Tf 6.784 0 Td [(in)]TJ ET 1 0 0 1 40.867 461.114 cm 0 g 0 G 0 g 0 G 1 0 0 1 -40.867 -461.114 cm BT /F20 8.2889 Tf 40.867 450.653 Td [(adaptive)-274(penalized)-275(smoothing)-274(\050Section)]TJ ET 1 0 0 1 191.853 450.653 cm 0 0 .4 rg 0 0 .4 RG 1 0 0 1 -191.853 -450.653 cm BT /F20 8.2889 Tf 191.853 450.653 Td [(4)]TJ ET 1 0 0 1 196.653 450.653 cm 0 g 0 G 1 0 0 1 -196.653 -450.653 cm BT /F20 8.2889 Tf 196.653 450.653 Td [(\051.)-274(In)-275(order)-274(to)-275(simplify)-274(notation,)-275(we)-274(define)-274(the)-275(order)]TJ/F39 8.2889 Tf 198.031 0 Td [(K)]TJ/F39 5.8022 Tf 5.106 -1.435 Td [(c)]TJ/F20 8.2889 Tf 5.793 1.435 Td [(matrix)]TJ/F135 8.2889 Tf 27.829 0 Td [(B)]TJ/F183 9.5641 Tf 5.288 0 Td [(.\025/)]TJ/F182 9.5641 Tf 15.542 0 Td [(D)]TJ/F186 9.0859 Tf 10.635 0 Td [(\010)]TJ/F182 6.6948 Tf 6.851 3.494 Td [(0)]TJ/F135 8.2889 Tf 2.306 -3.494 Td [(W)]TJ/F186 9.0859 Tf 8.62 0 Td [(\010)]TJ/F182 9.5641 Tf 9.184 0 Td [(C)]TJ/F135 8.2889 Tf 9.793 0 Td [(R)]TJ ET 1 0 0 1 40.867 450.653 cm 0 g 0 G 0 g 0 G 1 0 0 1 -40.867 -450.653 cm BT /F20 8.2889 Tf 40.867 440.192 Td [(and)-316(order)]TJ/F39 8.2889 Tf 40.271 0 Td [(n)]TJ/F20 8.2889 Tf 7.409 0 Td [(matrix)]TJ/F135 8.2889 Tf 28.172 0 Td [(A)]TJ/F183 9.5641 Tf 5.57 0 Td [(.\025/)]TJ/F182 9.5641 Tf 16.421 0 Td [(D)]TJ/F186 9.0859 Tf 11.514 0 Td [(\010)]TJ/F135 8.2889 Tf 6.851 0 Td [(B)]TJ/F183 9.5641 Tf 5.288 0 Td [(.\025/)]TJ/F182 6.6948 Tf 12.367 3.472 Td [(\000)]TJ/F20 5.8022 Tf 5.221 0 Td [(1)]TJ/F186 9.0859 Tf 3.858 -3.472 Td [(\010)]TJ/F182 6.6948 Tf 6.851 3.494 Td [(0)]TJ/F135 8.2889 Tf 2.306 -3.494 Td [(W)]TJ/F183 9.5641 Tf 8.62 0 Td [(:)]TJ/F20 8.2889 Tf 5.248 0 Td [(To)-316(make)-315(the)-316(mathematical)-316(formula)-316(more)-315(readable,)-316(we)-316(assume)-316(the)-316(number)-315(to)]TJ ET 1 0 0 1 40.867 440.192 cm 0 g 0 G 0 g 0 G 1 0 0 1 -40.867 -440.192 cm BT /F20 8.2889 Tf 40.867 429.731 Td [(curve)]TJ/F39 8.2889 Tf 23.275 0 Td [(N)]TJ/F182 9.5641 Tf 9.209 0 Td [(D)]TJ/F20 8.2889 Tf 10.116 0 Td [(1.)-250(Then)-250(we)-250(can)-250(express)]TJ/F50 9.9626 Tf 89.976 0 Td [(SSE)]TJ/F183 9.5641 Tf 15.691 0 Td [(.\025/)]TJ/F20 8.2889 Tf 14.438 0 Td [(and)-250(degrees)-250(of)-250(freedom)-250(measure)]TJ/F50 9.9626 Tf 126.637 0 Td [(dfe)]TJ/F183 9.5641 Tf 15.691 0 Td [(.\025/)]TJ/F20 8.2889 Tf 14.439 0 Td [(in)-250(terms)-250(of)-250(the)-250(matrix)-250(A:)]TJ ET 1 0 0 1 40.867 429.731 cm 0 g 0 G 0 g 0 G 1 0 0 1 -40.867 -429.731 cm BT /F50 9.9626 Tf 64.777 411.793 Td [(SSE)]TJ/F183 9.5641 Tf 15.691 0 Td [(.\025/)]TJ/F182 9.5641 Tf 15.023 0 Td [(D)]TJ/F135 8.2889 Tf 10.117 0 Td [(y)]TJ/F182 6.6948 Tf 4.509 3.95 Td [(0)]TJ/F182 9.5641 Tf 2.306 -3.95 Td [(T)]TJ/F39 8.2889 Tf 3.184 0 Td [(I)]TJ/F182 9.5641 Tf 5.296 0 Td [(\000)]TJ/F135 8.2889 Tf 9.586 0 Td [(A)]TJ/F183 9.5641 Tf 5.57 0 Td [(.\025/)]TJ/F182 9.5641 Tf 12.366 0 Td [(U)]TJ/F182 6.6948 Tf 3.185 3.95 Td [(0)]TJ/F182 9.5641 Tf 2.306 -3.95 Td [(T)]TJ/F39 8.2889 Tf 3.184 0 Td [(I)]TJ/F182 9.5641 Tf 5.296 0 Td [(\000)]TJ/F135 8.2889 Tf 9.586 0 Td [(A)]TJ/F183 9.5641 Tf 5.57 0 Td [(.\025/)]TJ/F182 9.5641 Tf 12.366 0 Td [(U)]TJ/F135 8.2889 Tf 3.185 0 Td [(y)]TJ ET 1 0 0 1 40.867 411.793 cm 0 g 0 G 0 g 0 G 1 0 0 1 -40.867 -411.793 cm BT /F50 9.9626 Tf 64.777 398.344 Td [(dfe)]TJ/F183 9.5641 Tf 15.691 0 Td [(.\025/)]TJ/F182 9.5641 Tf 15.023 0 Td [(D)]TJ/F39 8.2889 Tf 10.117 0 Td [(n)]TJ/F182 9.5641 Tf 6.916 0 Td [(\000)]TJ/F20 8.2889 Tf 9.585 0 Td [(trace)]TJ/F183 9.5641 Tf 19.114 0 Td [(.)]TJ/F135 8.2889 Tf 3.568 0 Td [(A)]TJ/F183 9.5641 Tf 5.57 0 Td [(.\025//:)]TJ ET 1 0 0 1 40.867 398.344 cm 0 g 0 G 0 g 0 G 1 0 0 1 -40.867 -398.344 cm BT /F20 8.2889 Tf 40.867 380.406 Td [(In)-284(what)-284(follows,)-284(we)-284(suppress)-285(the)-284(explicit)-284(dependence)-284(of)-284(these)-284(three)-284(matrices)-284(on)]TJ/F183 9.5641 Tf 310.945 0 Td [(\025)]TJ/F20 8.2889 Tf 7.587 0 Td [(and)-284(the)-284(parameter)-284(vector)]TJ/F186 9.5641 Tf 99.992 0 Td [(\022)]TJ/F20 8.2889 Tf 6.927 0 Td [(in)-284(order)-284(to)]TJ ET 1 0 0 1 40.867 380.406 cm 0 g 0 G 0 g 0 G 1 0 0 1 -40.867 -380.406 cm BT /F20 8.2889 Tf 40.867 369.945 Td [(keep)-250(the)-250(notation)-250(readable.)]TJ ET 1 0 0 1 40.867 369.945 cm 0 g 0 G 0 g 0 G 1 0 0 1 3.188 -17.34 cm 0 g 0 G 1 0 0 1 -44.055 -352.605 cm BT /F182 9.5641 Tf 44.055 352.605 Td [(\017)]TJ ET 1 0 0 1 48.837 352.605 cm 0 g 0 G 1 0 0 1 -48.837 -352.605 cm BT /F20 8.2889 Tf 52.822 352.605 Td [(The)-250(first)-250(derivatives)-250(with)-250(respect)-250(to)-250(the)]TJ/F183 9.5641 Tf 151.86 0 Td [(!)-20(.)]TJ/F39 8.2889 Tf 10.023 0 Td [(t)]TJ/F183 9.5641 Tf 3.643 0 Td [(/)]TJ/F20 8.2889 Tf 5.639 0 Td [(basis)-250(coefficient)]TJ/F183 9.5641 Tf 63.087 0 Td [(\022)]TJ/F39 5.8022 Tf 4.208 -1.434 Td [(l)]TJ/F20 8.2889 Tf 4.16 1.434 Td [(of)-250(these)-250(three)-250(matrices)-250(are:)]TJ ET 1 0 0 1 40.867 352.605 cm 0 g 0 G 0 g 0 G 1 0 0 1 -40.867 -352.605 cm BT /F183 9.5641 Tf 78.332 337.788 Td [(@)]TJ/F135 8.2889 Tf 5.146 0 Td [(R)]TJ ET q 1 0 0 1 77.928 333.474 cm []0 d 0 J 0.44 w 0 0 m 11.442 0 l S Q BT /F183 9.5641 Tf 77.928 324.293 Td [(@)-80(\022)]TJ/F39 5.8022 Tf 9.353 -1.435 Td [(l)]TJ/F182 9.5641 Tf 5.94 8.225 Td [(D)]TJ/F199 9.5641 Tf 10.117 13.017 Td [(Z)]TJ/F183 9.5641 Tf 11.024 -13.017 Td [(\025.)]TJ/F39 8.2889 Tf 8.799 0 Td [(t)]TJ/F183 9.5641 Tf 3.643 0 Td [(/\040)]TJ/F39 5.8022 Tf 10.301 -1.435 Td [(l)]TJ/F183 9.5641 Tf 2.088 1.435 Td [(.)]TJ/F39 8.2889 Tf 3.567 0 Td [(t)]TJ/F183 9.5641 Tf 3.643 0 Td [(/)]TJ/F182 9.5641 Tf 3.567 0 Td [(T)]TJ/F39 8.2889 Tf 3.185 0 Td [(L)]TJ/F186 9.5641 Tf 3.929 0 Td [(\036)]TJ/F183 9.5641 Tf 5.863 0 Td [(.)]TJ/F39 8.2889 Tf 3.567 0 Td [(t)]TJ/F183 9.5641 Tf 3.643 0 Td [(/)]TJ/F182 9.5641 Tf 3.568 0 Td [(UT)]TJ/F39 8.2889 Tf 6.369 0 Td [(L)]TJ/F186 9.5641 Tf 3.929 0 Td [(\036)]TJ/F183 9.5641 Tf 5.863 0 Td [(.)]TJ/F39 8.2889 Tf 3.567 0 Td [(t)]TJ/F183 9.5641 Tf 3.643 0 Td [(/)]TJ/F182 9.5641 Tf 3.568 0 Td [(U)]TJ/F182 6.6948 Tf 3.185 3.95 Td [(0)]TJ/F20 8.2889 Tf 2.305 -3.95 Td [(d)]TJ/F39 8.2889 Tf 4.932 0 Td [(t)]TJ ET 1 0 0 1 40.867 331.083 cm 0 g 0 G 0 g 0 G 1 0 0 1 -40.867 -331.083 cm BT /F183 9.5641 Tf 77.928 310.493 Td [(@)]TJ/F135 8.2889 Tf 5.145 0 Td [(B)]TJ/F182 6.6948 Tf 5.288 3.875 Td [(\000)]TJ/F20 5.8022 Tf 5.222 0 Td [(1)]TJ ET q 1 0 0 1 77.928 306.179 cm []0 d 0 J 0.44 w 0 0 m 19.513 0 l S Q BT /F183 9.5641 Tf 81.963 296.998 Td [(@)-80(\022)]TJ/F39 5.8022 Tf 9.354 -1.435 Td [(l)]TJ/F182 9.5641 Tf 9.976 8.225 Td [(D)-278(\000)]TJ/F135 8.2889 Tf 17.577 0 Td [(B)]TJ/F182 6.6948 Tf 5.288 3.95 Td [(\000)]TJ/F20 5.8022 Tf 5.222 0 Td [(1)]TJ/F183 9.5641 Tf 5.458 2.755 Td [(@)]TJ/F135 8.2889 Tf 5.145 0 Td [(R)]TJ ET q 1 0 0 1 134.433 306.179 cm []0 d 0 J 0.44 w 0 0 m 11.442 0 l S Q BT /F183 9.5641 Tf 134.433 296.998 Td [(@)-80(\022)]TJ/F39 5.8022 Tf 9.354 -1.435 Td [(l)]TJ/F135 8.2889 Tf 3.283 8.225 Td [(B)]TJ/F182 6.6948 Tf 5.288 3.95 Td [(\000)]TJ/F20 5.8022 Tf 5.222 0 Td [(1)]TJ ET 1 0 0 1 40.867 303.788 cm 0 g 0 G 0 g 0 G 1 0 0 1 -40.867 -303.788 cm BT /F183 9.5641 Tf 78.291 283.198 Td [(@)]TJ/F135 8.2889 Tf 5.145 0 Td [(A)]TJ ET q 1 0 0 1 77.928 278.885 cm []0 d 0 J 0.44 w 0 0 m 11.442 0 l S Q BT /F183 9.5641 Tf 77.928 269.703 Td [(@)-80(\022)]TJ/F39 5.8022 Tf 9.353 -1.434 Td [(l)]TJ/F182 9.5641 Tf 5.94 8.225 Td [(D)]TJ/F186 9.0859 Tf 10.117 0 Td [(\010)]TJ/F183 9.5641 Tf 8.046 6.704 Td [(@)]TJ/F135 8.2889 Tf 5.146 0 Td [(B)]TJ/F182 6.6948 Tf 5.288 3.875 Td [(\000)]TJ/F20 5.8022 Tf 5.222 0 Td [(1)]TJ ET q 1 0 0 1 111.384 278.885 cm []0 d 0 J 0.44 w 0 0 m 19.513 0 l S Q BT /F183 9.5641 Tf 115.42 269.703 Td [(@)-80(\022)]TJ/F39 5.8022 Tf 9.354 -1.434 Td [(l)]TJ/F186 9.0859 Tf 7.319 8.225 Td [(\010)]TJ/F182 6.6948 Tf 6.851 3.95 Td [(0)]TJ/F135 8.2889 Tf 2.306 -3.95 Td [(W)]TJ/F183 9.5641 Tf 8.62 0 Td [(:)]TJ ET 1 0 0 1 40.867 276.494 cm 0 g 0 G 0 g 0 G 1 0 0 1 3.188 -22.514 cm 0 g 0 G 1 0 0 1 -44.055 -253.98 cm BT /F182 9.5641 Tf 44.055 253.98 Td [(\017)]TJ ET 1 0 0 1 48.837 253.98 cm 0 g 0 G 1 0 0 1 -48.837 -253.98 cm BT /F20 8.2889 Tf 52.822 253.98 Td [(The)-250(second)-250(derivatives)-250(with)-250(respect)-250(to)-250(the)-250(smoothing)-250(function)-250(basis)-250(coefficients)]TJ/F183 9.5641 Tf 306.969 0 Td [(\022)]TJ/F39 5.8022 Tf 4.208 -1.435 Td [(l)]TJ/F20 8.2889 Tf 4.16 1.435 Td [(and)]TJ/F183 9.5641 Tf 16.321 0 Td [(\022)]TJ/F39 5.8022 Tf 4.208 -1.435 Td [(i)]TJ/F20 8.2889 Tf 4.23 1.435 Td [(are:)]TJ ET 1 0 0 1 40.867 253.98 cm 0 g 0 G 0 g 0 G 1 0 0 1 -40.867 -253.98 cm BT /F183 9.5641 Tf 82.159 237.697 Td [(@)]TJ/F20 5.8022 Tf 5.145 3.472 Td [(2)]TJ/F135 8.2889 Tf 3.858 -3.472 Td [(R)]TJ ET q 1 0 0 1 77.928 233.383 cm []0 d 0 J 0.44 w 0 0 m 22.953 0 l S Q BT /F183 9.5641 Tf 77.928 224.202 Td [(@)-80(\022)]TJ/F39 5.8022 Tf 9.353 -1.435 Td [(l)]TJ/F183 9.5641 Tf 2.088 1.435 Td [(@)-80(\022)]TJ/F39 5.8022 Tf 9.354 -1.435 Td [(i)]TJ/F182 9.5641 Tf 6.01 8.225 Td [(D)]TJ/F199 9.5641 Tf 10.116 13.017 Td [(Z)]TJ/F183 9.5641 Tf 11.024 -13.017 Td [(\025.)]TJ/F39 8.2889 Tf 8.799 0 Td [(t)]TJ/F183 9.5641 Tf 3.643 0 Td [(/\040)]TJ/F39 5.8022 Tf 10.301 -1.434 Td [(i)]TJ/F183 9.5641 Tf 2.157 1.434 Td [(.)]TJ/F39 8.2889 Tf 3.568 0 Td [(t)]TJ/F183 9.5641 Tf 3.643 0 Td [(/\040)]TJ/F39 5.8022 Tf 10.3 -1.434 Td [(l)]TJ/F183 9.5641 Tf 2.088 1.434 Td [(.)]TJ/F39 8.2889 Tf 3.568 0 Td [(t)]TJ/F183 9.5641 Tf 3.643 0 Td [(/)]TJ/F182 9.5641 Tf 3.567 0 Td [(T)]TJ/F39 8.2889 Tf 3.185 0 Td [(L)]TJ/F186 9.5641 Tf 3.929 0 Td [(\036)]TJ/F183 9.5641 Tf 5.863 0 Td [(.)]TJ/F39 8.2889 Tf 3.567 0 Td [(t)]TJ/F183 9.5641 Tf 3.643 0 Td [(/)]TJ/F182 9.5641 Tf 3.567 0 Td [(UT)]TJ/F39 8.2889 Tf 6.37 0 Td [(L)]TJ/F186 9.5641 Tf 3.929 0 Td [(\036)]TJ/F183 9.5641 Tf 5.863 0 Td [(.)]TJ/F39 8.2889 Tf 3.567 0 Td [(t)]TJ/F183 9.5641 Tf 3.643 0 Td [(/)]TJ/F182 9.5641 Tf 3.567 0 Td [(U)]TJ/F182 6.6948 Tf 3.185 3.95 Td [(0)]TJ/F20 8.2889 Tf 2.306 -3.95 Td [(d)]TJ/F39 8.2889 Tf 4.932 0 Td [(t)]TJ ET 1 0 0 1 40.867 230.992 cm 0 g 0 G 0 g 0 G 1 0 0 1 -40.867 -230.992 cm BT /F183 9.5641 Tf 77.928 210.402 Td [(@)]TJ/F20 5.8022 Tf 5.145 3.472 Td [(2)]TJ/F135 8.2889 Tf 3.858 -3.472 Td [(B)]TJ/F182 6.6948 Tf 5.288 3.875 Td [(\000)]TJ/F20 5.8022 Tf 5.222 0 Td [(1)]TJ ET q 1 0 0 1 77.928 206.089 cm []0 d 0 J 0.44 w 0 0 m 23.371 0 l S Q BT /F183 9.5641 Tf 78.137 196.907 Td [(@)-80(\022)]TJ/F39 5.8022 Tf 9.353 -1.434 Td [(l)]TJ/F183 9.5641 Tf 2.088 1.434 Td [(@)-80(\022)]TJ/F39 5.8022 Tf 9.354 -1.434 Td [(i)]TJ/F182 9.5641 Tf 6.219 8.225 Td [(D)-278(\000)]TJ/F183 9.5641 Tf 18.772 6.704 Td [(@)]TJ/F135 8.2889 Tf 5.145 0 Td [(B)]TJ/F182 6.6948 Tf 5.289 3.875 Td [(\000)]TJ/F20 5.8022 Tf 5.222 0 Td [(1)]TJ ET q 1 0 0 1 123.923 206.089 cm []0 d 0 J 0.44 w 0 0 m 19.513 0 l S Q BT /F183 9.5641 Tf 127.924 196.907 Td [(@)-80(\022)]TJ/F39 5.8022 Tf 9.354 -1.434 Td [(i)]TJ/F183 9.5641 Tf 8.954 14.929 Td [(@)]TJ/F135 8.2889 Tf 5.145 0 Td [(R)]TJ ET q 1 0 0 1 145.827 206.089 cm []0 d 0 J 0.44 w 0 0 m 11.442 0 l S Q BT /F183 9.5641 Tf 145.827 196.907 Td [(@)-80(\022)]TJ/F39 5.8022 Tf 9.354 -1.434 Td [(l)]TJ/F135 8.2889 Tf 3.283 8.225 Td [(B)]TJ/F182 6.6948 Tf 5.289 3.95 Td [(\000)]TJ/F20 5.8022 Tf 5.222 0 Td [(1)]TJ/F182 9.5641 Tf 5.982 -3.95 Td [(\000)]TJ/F135 8.2889 Tf 9.586 0 Td [(B)]TJ/F182 6.6948 Tf 5.288 3.95 Td [(\000)]TJ/F20 5.8022 Tf 5.222 0 Td [(1)]TJ/F183 9.5641 Tf 9.284 2.754 Td [(@)]TJ/F20 5.8022 Tf 5.146 3.472 Td [(2)]TJ/F135 8.2889 Tf 3.857 -3.472 Td [(R)]TJ ET q 1 0 0 1 200.106 206.089 cm []0 d 0 J 0.44 w 0 0 m 22.953 0 l S Q BT /F183 9.5641 Tf 200.106 196.907 Td [(@)-80(\022)]TJ/F39 5.8022 Tf 9.354 -1.434 Td [(l)]TJ/F183 9.5641 Tf 2.088 1.434 Td [(@)-80(\022)]TJ/F39 5.8022 Tf 9.353 -1.434 Td [(i)]TJ/F135 8.2889 Tf 3.353 8.225 Td [(B)]TJ/F182 6.6948 Tf 5.289 3.95 Td [(\000)]TJ/F20 5.8022 Tf 5.222 0 Td [(1)]TJ/F182 9.5641 Tf 5.983 -3.95 Td [(\000)]TJ/F135 8.2889 Tf 9.585 0 Td [(B)]TJ/F182 6.6948 Tf 5.288 3.95 Td [(\000)]TJ/F20 5.8022 Tf 5.222 0 Td [(1)]TJ/F183 9.5641 Tf 5.458 2.754 Td [(@)]TJ/F135 8.2889 Tf 5.145 0 Td [(R)]TJ ET q 1 0 0 1 265.896 206.089 cm []0 d 0 J 0.44 w 0 0 m 11.442 0 l S Q BT /F183 9.5641 Tf 265.896 196.907 Td [(@)-80(\022)]TJ/F39 5.8022 Tf 9.354 -1.434 Td [(l)]TJ/F183 9.5641 Tf 4.479 14.929 Td [(@)]TJ/F135 8.2889 Tf 5.145 0 Td [(B)]TJ/F182 6.6948 Tf 5.289 3.875 Td [(\000)]TJ/F20 5.8022 Tf 5.222 0 Td [(1)]TJ ET q 1 0 0 1 279.729 206.089 cm []0 d 0 J 0.44 w 0 0 m 19.513 0 l S Q BT /F183 9.5641 Tf 283.73 196.907 Td [(@)-80(\022)]TJ/F39 5.8022 Tf 9.354 -1.434 Td [(i)]TJ ET 1 0 0 1 40.867 203.698 cm 0 g 0 G 0 g 0 G 1 0 0 1 -40.867 -203.698 cm BT /F183 9.5641 Tf 82.117 183.107 Td [(@)]TJ/F20 5.8022 Tf 5.146 3.472 Td [(2)]TJ/F135 8.2889 Tf 3.857 -3.472 Td [(A)]TJ ET q 1 0 0 1 77.928 178.794 cm []0 d 0 J 0.44 w 0 0 m 22.953 0 l S Q BT /F183 9.5641 Tf 77.928 169.613 Td [(@)-80(\022)]TJ/F39 5.8022 Tf 9.353 -1.435 Td [(l)]TJ/F183 9.5641 Tf 2.088 1.435 Td [(@)-80(\022)]TJ/F39 5.8022 Tf 9.354 -1.435 Td [(i)]TJ/F182 9.5641 Tf 6.01 8.225 Td [(D)]TJ/F186 9.0859 Tf 10.116 0 Td [(\010)]TJ/F183 9.5641 Tf 8.047 6.705 Td [(@)]TJ/F20 5.8022 Tf 5.145 3.471 Td [(2)]TJ/F135 8.2889 Tf 3.858 -3.471 Td [(B)]TJ/F182 6.6948 Tf 5.288 3.875 Td [(\000)]TJ/F20 5.8022 Tf 5.222 0 Td [(1)]TJ ET q 1 0 0 1 122.896 178.794 cm []0 d 0 J 0.44 w 0 0 m 23.371 0 l S Q BT /F183 9.5641 Tf 123.105 169.613 Td [(@)-80(\022)]TJ/F39 5.8022 Tf 9.353 -1.435 Td [(l)]TJ/F183 9.5641 Tf 2.088 1.435 Td [(@)-80(\022)]TJ/F39 5.8022 Tf 9.354 -1.435 Td [(i)]TJ/F186 9.0859 Tf 3.562 8.225 Td [(\010)]TJ/F182 6.6948 Tf 6.851 3.95 Td [(0)]TJ/F135 8.2889 Tf 2.305 -3.95 Td [(W)]TJ/F183 9.5641 Tf 8.621 0 Td [(:)]TJ ET 1 0 0 1 40.867 176.403 cm 0 g 0 G 0 g 0 G 1 0 0 1 3.188 -22.723 cm 0 g 0 G 1 0 0 1 -44.055 -153.68 cm BT /F182 9.5641 Tf 44.055 153.68 Td [(\017)]TJ ET 1 0 0 1 48.837 153.68 cm 0 g 0 G 1 0 0 1 -48.837 -153.68 cm BT /F20 8.2889 Tf 52.822 153.68 Td [(The)-250(first)-250(derivative)-250(of)]TJ/F50 9.9626 Tf 83.584 0 Td [(GCV)]TJ/F183 9.5641 Tf 15.691 0 Td [(.\025.)]TJ/F39 8.2889 Tf 12.367 0 Td [(t)]TJ/F183 9.5641 Tf 3.643 0 Td [(/)]TJ/F182 9.5641 Tf 3.567 0 Td [(j)]TJ/F135 8.2889 Tf 2.736 0 Td [(y)]TJ/F183 9.5641 Tf 4.509 0 Td [(/)]TJ/F20 8.2889 Tf 5.639 0 Td [(with)-250(respect)-250(to)]TJ/F183 9.5641 Tf 59.564 0 Td [(!)-20(.)]TJ/F39 8.2889 Tf 10.023 0 Td [(t)]TJ/F183 9.5641 Tf 3.643 0 Td [(/)]TJ/F20 8.2889 Tf 5.64 0 Td [(basis)-250(coefficient)]TJ/F183 9.5641 Tf 63.086 0 Td [(\022)]TJ/F39 5.8022 Tf 4.208 -1.435 Td [(l)]TJ/F20 8.2889 Tf 4.16 1.435 Td [(is)]TJ ET 1 0 0 1 40.867 153.68 cm 0 g 0 G 0 g 0 G 1 0 0 1 -40.867 -153.68 cm BT /F183 9.5641 Tf 77.928 136.096 Td [(@)]TJ/F50 9.9626 Tf 5.145 0 Td [(GCV)]TJ/F183 9.5641 Tf 15.691 0 Td [(.\025/)]TJ ET q 1 0 0 1 77.928 131.783 cm []0 d 0 J 0.44 w 0 0 m 33.203 0 l S Q BT /F183 9.5641 Tf 88.808 122.601 Td [(@)-80(\022)]TJ/F39 5.8022 Tf 9.354 -1.434 Td [(l)]TJ/F182 9.5641 Tf 16.821 8.225 Td [(D)]TJ/F39 8.2889 Tf 10.116 0 Td [(n)]TJ/F199 9.5641 Tf 6.385 13.428 Td [(\024)]TJ/F50 9.9626 Tf 5.213 -13.428 Td [(dfe)]TJ/F183 9.5641 Tf 16.886 6.704 Td [(@)]TJ/F50 9.9626 Tf 5.146 0 Td [(SSE)]TJ ET q 1 0 0 1 153.583 131.783 cm []0 d 0 J 0.44 w 0 0 m 20.837 0 l S Q BT /F183 9.5641 Tf 158.281 122.601 Td [(@)-80(\022)]TJ/F39 5.8022 Tf 9.354 -1.434 Td [(l)]TJ/F182 9.5641 Tf 10.106 8.225 Td [(\000)]TJ/F20 8.2889 Tf 9.585 0 Td [(2)]TJ/F50 9.9626 Tf 4.799 0 Td [(SSE)]TJ/F183 9.5641 Tf 16.887 6.704 Td [(@)]TJ/F50 9.9626 Tf 5.145 0 Td [(dfe)]TJ ET q 1 0 0 1 209.012 131.783 cm []0 d 0 J 0.44 w 0 0 m 20.837 0 l S Q BT /F183 9.5641 Tf 213.71 122.601 Td [(@)-80(\022)]TJ/F39 5.8022 Tf 9.353 -1.434 Td [(l)]TJ/F199 9.5641 Tf 7.981 21.653 Td [(\025)]TJ/F50 9.9626 Tf 6.807 -13.428 Td [(dfe)]TJ/F182 6.6948 Tf 15.691 3.95 Td [(\000)]TJ/F20 5.8022 Tf 5.222 0 Td [(3)]TJ/F20 8.2889 Tf 230.475 -3.95 Td [(\050B.1\051)]TJ ET 1 0 0 1 40.867 129.392 cm 0 g 0 G 0 g 0 G 1 0 0 1 -40.867 -129.392 cm BT /F20 8.2889 Tf 52.822 107.334 Td [(where)]TJ ET 1 0 0 1 40.867 107.334 cm 0 g 0 G 0 g 0 G 1 0 0 1 -40.867 -107.334 cm BT /F183 9.5641 Tf 77.928 93.486 Td [(@)]TJ/F50 9.9626 Tf 5.145 0 Td [(dfe)]TJ/F183 9.5641 Tf 15.691 0 Td [(.\025/)]TJ ET q 1 0 0 1 77.928 89.173 cm []0 d 0 J 0.44 w 0 0 m 33.203 0 l S Q BT /F183 9.5641 Tf 88.808 79.991 Td [(@)-80(\022)]TJ/F39 5.8022 Tf 9.354 -1.434 Td [(l)]TJ/F182 9.5641 Tf 16.821 8.225 Td [(D)-278(\000)]TJ/F20 8.2889 Tf 17.576 0 Td [(trace)]TJ/F199 9.5641 Tf 20.708 13.428 Td [(\022)]TJ/F183 9.5641 Tf 8.015 -6.724 Td [(@)]TJ/F135 8.2889 Tf 5.145 0 Td [(A)]TJ ET q 1 0 0 1 160.919 89.173 cm []0 d 0 J 0.44 w 0 0 m 11.442 0 l S Q BT /F183 9.5641 Tf 160.919 79.991 Td [(@)-80(\022)]TJ/F39 5.8022 Tf 9.353 -1.434 Td [(l)]TJ/F199 9.5641 Tf 3.284 21.653 Td [(\023)]TJ ET 1 0 0 1 40.867 86.782 cm 0 g 0 G 0 g 0 G 1 0 0 1 -40.867 -86.782 cm BT /F183 9.5641 Tf 77.928 65.556 Td [(@)]TJ/F50 9.9626 Tf 5.145 0 Td [(SSE)]TJ/F183 9.5641 Tf 15.691 0 Td [(.\025/)]TJ ET q 1 0 0 1 77.928 61.243 cm []0 d 0 J 0.44 w 0 0 m 33.203 0 l S Q BT /F183 9.5641 Tf 88.808 52.061 Td [(@)-80(\022)]TJ/F39 5.8022 Tf 9.354 -1.434 Td [(l)]TJ/F182 9.5641 Tf 16.821 8.225 Td [(D)-278(\000)]TJ/F135 8.2889 Tf 17.576 0 Td [(y)]TJ/F182 6.6948 Tf 4.51 3.95 Td [(0)]TJ/F199 9.5641 Tf 3.899 9.478 Td [(\022\024)]TJ/F183 9.5641 Tf 13.227 -6.724 Td [(@)]TJ/F135 8.2889 Tf 5.145 0 Td [(A)]TJ ET q 1 0 0 1 153.832 61.243 cm []0 d 0 J 0.44 w 0 0 m 11.442 0 l S Q BT /F183 9.5641 Tf 153.832 52.061 Td [(@)-80(\022)]TJ/F39 5.8022 Tf 9.354 -1.434 Td [(l)]TJ/F199 9.5641 Tf 3.283 21.653 Td [(\025)]TJ/F182 6.6948 Tf 5.213 -2.144 Td [(0)]TJ/F182 9.5641 Tf 3.899 -11.284 Td [(T)]TJ/F135 8.2889 Tf 3.185 0 Td [(I)]TJ/F182 9.5641 Tf 4.993 0 Td [(\000)]TJ/F135 8.2889 Tf 9.586 0 Td [(A)]TJ/F182 9.5641 Tf 5.57 0 Td [(U)-222(C)-222(T)]TJ/F135 8.2889 Tf 18.08 0 Td [(I)]TJ/F182 9.5641 Tf 4.993 0 Td [(\000)]TJ/F135 8.2889 Tf 9.586 0 Td [(A)]TJ/F182 9.5641 Tf 5.57 0 Td [(U)]TJ/F182 6.6948 Tf 3.185 3.95 Td [(0)]TJ/F199 9.5641 Tf 3.899 9.478 Td [(\024)]TJ/F183 9.5641 Tf 6.771 -6.724 Td [(@)]TJ/F135 8.2889 Tf 5.146 0 Td [(A)]TJ ET q 1 0 0 1 250.636 61.243 cm []0 d 0 J 0.44 w 0 0 m 11.442 0 l S Q BT /F183 9.5641 Tf 250.636 52.061 Td [(@)-80(\022)]TJ/F39 5.8022 Tf 9.354 -1.434 Td [(l)]TJ/F199 9.5641 Tf 3.283 21.653 Td [(\025\023)]TJ/F135 8.2889 Tf 13.263 -13.428 Td [(y)]TJ/F183 9.5641 Tf 4.509 0 Td [(:)]TJ ET 1 0 0 1 40.867 58.852 cm 0 g 0 G 0 g 0 G 1 0 0 1 0 -18.366 cm 0 g 0 G 1 0 0 1 466.251 0 cm 0 g 0 G endstream endobj 260 0 obj <> endobj 261 0 obj <> /ProcSet [ /PDF /Text ] >> endobj 262 0 obj <>stream 1 0 0 1 37.134 702.503 cm 0 g 0 G 1 0 0 1 -37.134 -702.503 cm BT /F39 6.6311 Tf 145.791 702.503 Td [(J.)-250(Cao,)-250(J.O.)-250(Ramsay)-250(/)-250(Computational)-250(Statistics)-250(and)-250(Data)-250(Analysis)-250(53)-250(\0502009\051)-250(2550\0252562)]TJ/F20 6.6311 Tf 342.237 0 Td [(2561)]TJ ET 1 0 0 1 503.385 702.503 cm 0 g 0 G 1 0 0 1 -463.063 -21.918 cm 0 g 0 G 1 0 0 1 -40.322 -680.585 cm BT /F182 9.5641 Tf 40.322 680.585 Td [(\017)]TJ ET 1 0 0 1 45.104 680.585 cm 0 g 0 G 1 0 0 1 -45.104 -680.585 cm BT /F20 8.2889 Tf 49.089 680.585 Td [(The)-250(second)-250(derivative)-250(of)]TJ/F50 9.9626 Tf 94.833 0 Td [(GCV)]TJ/F183 9.5641 Tf 15.691 0 Td [(.\025.)]TJ/F39 8.2889 Tf 12.366 0 Td [(t)]TJ/F183 9.5641 Tf 3.643 0 Td [(/)]TJ/F182 9.5641 Tf 3.567 0 Td [(j)]TJ/F135 8.2889 Tf 2.736 0 Td [(y)]TJ/F183 9.5641 Tf 4.509 0 Td [(/)]TJ/F20 8.2889 Tf 5.64 0 Td [(with)-250(respect)-250(to)]TJ/F183 9.5641 Tf 59.563 0 Td [(!)-20(.)]TJ/F39 8.2889 Tf 10.023 0 Td [(t)]TJ/F183 9.5641 Tf 3.643 0 Td [(/)]TJ/F20 8.2889 Tf 5.64 0 Td [(basis)-250(coefficients)]TJ/F183 9.5641 Tf 66.783 0 Td [(\022)]TJ/F39 5.8022 Tf 4.208 -1.434 Td [(l)]TJ/F20 8.2889 Tf 4.16 1.434 Td [(and)]TJ/F183 9.5641 Tf 16.321 0 Td [(\022)]TJ/F39 5.8022 Tf 4.208 -1.434 Td [(j)]TJ/F20 8.2889 Tf 4.247 1.434 Td [(is)]TJ ET 1 0 0 1 37.134 680.585 cm 0 g 0 G 0 g 0 G 1 0 0 1 -37.134 -680.585 cm BT /F183 9.5641 Tf 74.195 663.95 Td [(@)]TJ/F20 5.8022 Tf 5.145 3.471 Td [(2)]TJ/F50 9.9626 Tf 3.858 -3.471 Td [(GCV)]TJ/F183 9.5641 Tf 15.691 0 Td [(.\025/)]TJ ET q 1 0 0 1 74.195 659.636 cm []0 d 0 J 0.44 w 0 0 m 37.061 0 l S Q BT /F183 9.5641 Tf 81.24 650.455 Td [(@)-80(\022)]TJ/F39 5.8022 Tf 9.354 -1.435 Td [(l)]TJ/F183 9.5641 Tf 2.088 1.435 Td [(@)-80(\022)]TJ/F39 5.8022 Tf 9.353 -1.435 Td [(j)]TJ/F182 9.5641 Tf 13.903 8.225 Td [(D)]TJ/F39 8.2889 Tf 19.521 6.705 Td [(n)]TJ ET q 1 0 0 1 128.08 659.636 cm []0 d 0 J 0.44 w 0 0 m 19.549 0 l S Q BT /F50 9.9626 Tf 128.08 650.009 Td [(dfe)]TJ/F20 5.8022 Tf 15.691 3.635 Td [(2)]TJ/F183 9.5641 Tf 6.249 10.306 Td [(@)]TJ/F20 5.8022 Tf 5.145 3.471 Td [(2)]TJ/F50 9.9626 Tf 3.858 -3.471 Td [(SSE)]TJ ET q 1 0 0 1 150.02 659.636 cm []0 d 0 J 0.44 w 0 0 m 24.694 0 l S Q BT /F183 9.5641 Tf 150.882 650.455 Td [(@)-80(\022)]TJ/F39 5.8022 Tf 9.354 -1.435 Td [(l)]TJ/F183 9.5641 Tf 2.088 1.435 Td [(@)-80(\022)]TJ/F39 5.8022 Tf 9.353 -1.435 Td [(j)]TJ/F182 9.5641 Tf 6.358 8.225 Td [(\000)]TJ/F20 8.2889 Tf 10.781 6.705 Td [(2)]TJ/F39 8.2889 Tf 4.799 0 Td [(n)]TJ/F50 9.9626 Tf 4.791 0 Td [(SSE)]TJ ET q 1 0 0 1 188.816 659.636 cm []0 d 0 J 0.44 w 0 0 m 25.281 0 l S Q BT /F50 9.9626 Tf 191.682 650.009 Td [(dfe)]TJ/F20 5.8022 Tf 15.691 3.635 Td [(3)]TJ/F183 9.5641 Tf 9.115 10.306 Td [(@)]TJ/F20 5.8022 Tf 5.146 3.471 Td [(2)]TJ/F50 9.9626 Tf 3.857 -3.471 Td [(dfe)]TJ ET q 1 0 0 1 216.488 659.636 cm []0 d 0 J 0.44 w 0 0 m 24.694 0 l S Q BT /F183 9.5641 Tf 217.35 650.455 Td [(@)-80(\022)]TJ/F39 5.8022 Tf 9.354 -1.435 Td [(l)]TJ/F183 9.5641 Tf 2.088 1.435 Td [(@)-80(\022)]TJ/F39 5.8022 Tf 9.353 -1.435 Td [(j)]TJ/F182 9.5641 Tf 6.358 8.225 Td [(C)]TJ/F20 8.2889 Tf 10.781 6.705 Td [(6)]TJ/F39 8.2889 Tf 4.799 0 Td [(n)]TJ/F50 9.9626 Tf 4.791 0 Td [(SSE)]TJ ET q 1 0 0 1 255.284 659.636 cm []0 d 0 J 0.44 w 0 0 m 25.281 0 l S Q BT /F50 9.9626 Tf 258.15 650.009 Td [(dfe)]TJ/F20 5.8022 Tf 15.691 3.635 Td [(4)]TJ/F183 9.5641 Tf 9.115 10.306 Td [(@)]TJ/F50 9.9626 Tf 5.146 0 Td [(dfe)]TJ ET q 1 0 0 1 282.956 659.636 cm []0 d 0 J 0.44 w 0 0 m 20.837 0 l S Q BT /F183 9.5641 Tf 287.654 650.455 Td [(@)-80(\022)]TJ/F39 5.8022 Tf 9.354 -1.435 Td [(l)]TJ/F183 9.5641 Tf 9.176 14.93 Td [(@)]TJ/F50 9.9626 Tf 5.145 0 Td [(dfe)]TJ ET q 1 0 0 1 306.184 659.636 cm []0 d 0 J 0.44 w 0 0 m 20.837 0 l S Q BT /F183 9.5641 Tf 310.838 650.455 Td [(@)-80(\022)]TJ/F39 5.8022 Tf 9.354 -1.435 Td [(j)]TJ ET 1 0 0 1 37.134 657.245 cm 0 g 0 G 0 g 0 G 1 0 0 1 -37.134 -657.245 cm BT /F182 9.5641 Tf 126.885 627.948 Td [(\000)]TJ/F20 8.2889 Tf 15.229 6.705 Td [(2)]TJ/F39 8.2889 Tf 4.799 0 Td [(n)]TJ ET q 1 0 0 1 137.134 630.339 cm []0 d 0 J 0.44 w 0 0 m 19.549 0 l S Q BT /F50 9.9626 Tf 137.134 620.712 Td [(dfe)]TJ/F20 5.8022 Tf 15.691 3.635 Td [(3)]TJ/F199 9.5641 Tf 6.647 17.029 Td [(\024)]TJ/F183 9.5641 Tf 6.408 -6.723 Td [(@)]TJ/F50 9.9626 Tf 5.146 0 Td [(dfe)]TJ ET q 1 0 0 1 165.88 630.339 cm []0 d 0 J 0.44 w 0 0 m 20.837 0 l S Q BT /F183 9.5641 Tf 170.578 621.158 Td [(@)-80(\022)]TJ/F39 5.8022 Tf 9.354 -1.435 Td [(l)]TJ/F183 9.5641 Tf 9.176 14.93 Td [(@)]TJ/F50 9.9626 Tf 5.146 0 Td [(SSE)]TJ ET q 1 0 0 1 189.108 630.339 cm []0 d 0 J 0.44 w 0 0 m 20.837 0 l S Q BT /F183 9.5641 Tf 193.762 621.158 Td [(@)-80(\022)]TJ/F39 5.8022 Tf 9.354 -1.435 Td [(j)]TJ/F182 9.5641 Tf 10.149 8.225 Td [(C)]TJ/F183 9.5641 Tf 10.781 6.705 Td [(@)]TJ/F50 9.9626 Tf 5.146 0 Td [(dfe)]TJ ET q 1 0 0 1 224.046 630.339 cm []0 d 0 J 0.44 w 0 0 m 20.837 0 l S Q BT /F183 9.5641 Tf 228.7 621.158 Td [(@)-80(\022)]TJ/F39 5.8022 Tf 9.354 -1.435 Td [(j)]TJ/F183 9.5641 Tf 9.22 14.93 Td [(@)]TJ/F50 9.9626 Tf 5.145 0 Td [(SSE)]TJ ET q 1 0 0 1 247.274 630.339 cm []0 d 0 J 0.44 w 0 0 m 20.837 0 l S Q BT /F183 9.5641 Tf 251.971 621.158 Td [(@)-80(\022)]TJ/F39 5.8022 Tf 9.354 -1.435 Td [(l)]TJ/F199 9.5641 Tf 7.981 21.653 Td [(\025)]TJ/F20 8.2889 Tf 216.2 -13.428 Td [(\050B.2\051)]TJ ET 1 0 0 1 37.134 627.948 cm 0 g 0 G 0 g 0 G 1 0 0 1 -37.134 -627.948 cm BT /F20 8.2889 Tf 49.089 606.085 Td [(where)]TJ ET 1 0 0 1 37.134 606.085 cm 0 g 0 G 0 g 0 G 1 0 0 1 -37.134 -606.085 cm BT /F183 9.5641 Tf 74.195 592.036 Td [(@)]TJ/F20 5.8022 Tf 5.145 3.472 Td [(2)]TJ/F50 9.9626 Tf 3.858 -3.472 Td [(SSE)]TJ/F183 9.5641 Tf 15.691 0 Td [(.\025/)]TJ ET q 1 0 0 1 74.195 587.723 cm []0 d 0 J 0.44 w 0 0 m 37.061 0 l S Q BT /F183 9.5641 Tf 81.24 578.541 Td [(@)-80(\022)]TJ/F39 5.8022 Tf 9.354 -1.434 Td [(l)]TJ/F183 9.5641 Tf 2.088 1.434 Td [(@)-80(\022)]TJ/F39 5.8022 Tf 9.353 -1.434 Td [(j)]TJ/F182 9.5641 Tf 13.073 8.225 Td [(D)]TJ/F135 8.2889 Tf 10.116 0 Td [(y)]TJ/F182 6.6948 Tf 4.509 3.95 Td [(0)]TJ/F183 9.5641 Tf 2.306 -3.95 Td [(.)]TJ/F39 8.2889 Tf 3.568 0 Td [(E)]TJ/F182 6.6948 Tf 5.043 3.95 Td [(0)]TJ/F182 9.5641 Tf 4.431 -3.95 Td [(C)]TJ/F39 8.2889 Tf 9.586 0 Td [(E)]TJ/F183 9.5641 Tf 5.043 0 Td [(/)]TJ/F135 8.2889 Tf 3.568 0 Td [(y)]TJ ET 1 0 0 1 37.134 585.332 cm 0 g 0 G 0 g 0 G 1 0 0 1 -37.134 -585.332 cm BT /F183 9.5641 Tf 74.195 563.971 Td [(@)]TJ/F20 5.8022 Tf 5.145 3.471 Td [(2)]TJ/F50 9.9626 Tf 3.858 -3.471 Td [(dfe)]TJ/F183 9.5641 Tf 15.691 0 Td [(.\025/)]TJ ET q 1 0 0 1 74.195 559.657 cm []0 d 0 J 0.44 w 0 0 m 37.061 0 l S Q BT /F183 9.5641 Tf 81.24 550.476 Td [(@)-80(\022)]TJ/F39 5.8022 Tf 9.354 -1.435 Td [(l)]TJ/F183 9.5641 Tf 2.088 1.435 Td [(@)-80(\022)]TJ/F39 5.8022 Tf 9.353 -1.435 Td [(j)]TJ/F182 9.5641 Tf 13.073 8.225 Td [(D)-278(\000)]TJ/F20 8.2889 Tf 17.576 0 Td [(trace)]TJ/F199 9.5641 Tf 20.708 13.428 Td [(\022)]TJ/F183 9.5641 Tf 11.85 -6.723 Td [(@)]TJ/F20 5.8022 Tf 5.146 3.471 Td [(2)]TJ/F135 8.2889 Tf 3.857 -3.471 Td [(A)]TJ ET q 1 0 0 1 161.044 559.657 cm []0 d 0 J 0.44 w 0 0 m 22.97 0 l S Q BT /F183 9.5641 Tf 161.044 550.476 Td [(@)-80(\022)]TJ/F39 5.8022 Tf 9.353 -1.435 Td [(l)]TJ/F183 9.5641 Tf 2.088 1.435 Td [(@)-80(\022)]TJ/F39 5.8022 Tf 9.354 -1.435 Td [(j)]TJ/F199 9.5641 Tf 3.37 21.653 Td [(\023)]TJ ET 1 0 0 1 37.134 557.266 cm 0 g 0 G 0 g 0 G 1 0 0 1 -37.134 -557.266 cm BT /F20 8.2889 Tf 49.089 535.403 Td [(and)]TJ ET 1 0 0 1 37.134 535.403 cm 0 g 0 G 0 g 0 G 1 0 0 1 -37.134 -535.403 cm BT /F39 8.2889 Tf 72.999 513.659 Td [(E)]TJ/F182 9.5641 Tf 7.701 0 Td [(D)]TJ/F199 9.5641 Tf 10.116 13.428 Td [(\024)]TJ/F183 9.5641 Tf 6.771 -6.724 Td [(@)]TJ/F135 8.2889 Tf 5.146 0 Td [(A)]TJ ET q 1 0 0 1 97.224 516.05 cm []0 d 0 J 0.44 w 0 0 m 11.442 0 l S Q BT /F183 9.5641 Tf 97.224 506.868 Td [(@)-80(\022)]TJ/F39 5.8022 Tf 9.354 -1.434 Td [(l)]TJ/F199 9.5641 Tf 3.284 21.653 Td [(\025)]TJ/F182 6.6948 Tf 5.212 -2.144 Td [(0)]TJ/F199 9.5641 Tf 3.9 2.144 Td [(\024)]TJ/F183 9.5641 Tf 6.814 -6.724 Td [(@)]TJ/F135 8.2889 Tf 5.146 0 Td [(A)]TJ ET q 1 0 0 1 125.382 516.05 cm []0 d 0 J 0.44 w 0 0 m 11.529 0 l S Q BT /F183 9.5641 Tf 125.382 506.868 Td [(@)-80(\022)]TJ/F39 5.8022 Tf 9.353 -1.434 Td [(j)]TJ/F199 9.5641 Tf 3.371 21.653 Td [(\025)]TJ/F182 9.5641 Tf 7.338 -13.428 Td [(\000)]TJ/F199 9.5641 Tf 9.585 13.428 Td [(\024)]TJ/F183 9.5641 Tf 10.606 -6.724 Td [(@)]TJ/F20 5.8022 Tf 5.146 3.472 Td [(2)]TJ/F135 8.2889 Tf 3.857 -3.472 Td [(A)]TJ ET q 1 0 0 1 161.437 516.05 cm []0 d 0 J 0.44 w 0 0 m 22.97 0 l S Q BT /F183 9.5641 Tf 161.437 506.868 Td [(@)-80(\022)]TJ/F39 5.8022 Tf 9.354 -1.434 Td [(l)]TJ/F183 9.5641 Tf 2.087 1.434 Td [(@)-80(\022)]TJ/F39 5.8022 Tf 9.354 -1.434 Td [(j)]TJ/F199 9.5641 Tf 3.371 21.653 Td [(\025)]TJ/F182 6.6948 Tf 5.212 -1.383 Td [(0)]TJ/F182 9.5641 Tf 3.9 -12.045 Td [(T)]TJ/F135 8.2889 Tf 3.185 0 Td [(I)]TJ/F182 9.5641 Tf 4.993 0 Td [(\000)]TJ/F135 8.2889 Tf 9.585 0 Td [(A)]TJ/F182 9.5641 Tf 5.57 0 Td [(U)]TJ/F183 9.5641 Tf 3.185 0 Td [(:)]TJ ET 1 0 0 1 37.134 513.659 cm 0 g 0 G 0 g 0 G 1 0 0 1 3.188 -22.218 cm 0 g 0 G 1 0 0 1 -40.322 -491.441 cm BT /F182 9.5641 Tf 40.322 491.441 Td [(\017)]TJ ET 1 0 0 1 45.104 491.441 cm 0 g 0 G 1 0 0 1 -45.104 -491.441 cm BT /F20 8.2889 Tf 49.089 491.441 Td [(The)-250(second)-250(derivative)-250(of)]TJ/F50 9.9626 Tf 94.833 0 Td [(GCV)]TJ/F183 9.5641 Tf 15.691 0 Td [(.\025.)]TJ/F39 8.2889 Tf 12.366 0 Td [(t)]TJ/F183 9.5641 Tf 3.643 0 Td [(/)]TJ/F182 9.5641 Tf 3.567 0 Td [(j)]TJ/F135 8.2889 Tf 2.736 0 Td [(y)]TJ/F183 9.5641 Tf 4.509 0 Td [(/)]TJ/F20 8.2889 Tf 5.64 0 Td [(with)-250(respect)-250(to)]TJ/F183 9.5641 Tf 59.563 0 Td [(!)-20(.)]TJ/F39 8.2889 Tf 10.023 0 Td [(t)]TJ/F183 9.5641 Tf 3.643 0 Td [(/)]TJ/F20 8.2889 Tf 5.64 0 Td [(basis)-250(coefficients)]TJ/F183 9.5641 Tf 66.783 0 Td [(\022)]TJ/F39 5.8022 Tf 4.208 -1.434 Td [(l)]TJ/F20 8.2889 Tf 4.16 1.434 Td [(and)]TJ/F135 8.2889 Tf 16.321 0 Td [(y)]TJ/F20 8.2889 Tf 6.581 0 Td [(is)]TJ ET 1 0 0 1 37.134 491.441 cm 0 g 0 G 0 g 0 G 1 0 0 1 -37.134 -491.441 cm BT /F183 9.5641 Tf 74.195 473.657 Td [(@)]TJ/F20 5.8022 Tf 5.145 3.472 Td [(2)]TJ/F50 9.9626 Tf 3.858 -3.472 Td [(GCV)]TJ/F183 9.5641 Tf 15.691 0 Td [(.\025/)]TJ ET q 1 0 0 1 74.195 469.344 cm []0 d 0 J 0.44 w 0 0 m 37.061 0 l S Q BT /F183 9.5641 Tf 82.177 460.162 Td [(@)-80(\022)]TJ/F39 5.8022 Tf 9.354 -1.435 Td [(l)]TJ/F183 9.5641 Tf 2.088 1.435 Td [(@)]TJ/F135 8.2889 Tf 5.145 0 Td [(y)]TJ/F182 9.5641 Tf 16.344 6.791 Td [(D)]TJ/F39 8.2889 Tf 10.116 0 Td [(n)]TJ/F199 9.5641 Tf 6.385 13.428 Td [(\024)]TJ/F50 9.9626 Tf 5.213 -13.428 Td [(dfe)]TJ/F183 9.5641 Tf 16.886 6.704 Td [(@)]TJ/F20 5.8022 Tf 5.146 3.472 Td [(2)]TJ/F50 9.9626 Tf 3.857 -3.472 Td [(SSE)]TJ ET q 1 0 0 1 153.708 469.344 cm []0 d 0 J 0.44 w 0 0 m 24.694 0 l S Q BT /F183 9.5641 Tf 155.507 460.162 Td [(@)-80(\022)]TJ/F39 5.8022 Tf 9.354 -1.435 Td [(l)]TJ/F183 9.5641 Tf 2.088 1.435 Td [(@)]TJ/F135 8.2889 Tf 5.145 0 Td [(y)]TJ/F182 9.5641 Tf 9.629 6.791 Td [(\000)]TJ/F20 8.2889 Tf 9.586 0 Td [(2)]TJ/F183 9.5641 Tf 5.994 6.704 Td [(@)]TJ/F50 9.9626 Tf 5.146 0 Td [(SSE)]TJ ET q 1 0 0 1 197.303 469.344 cm []0 d 0 J 0.44 w 0 0 m 20.837 0 l S Q BT /F183 9.5641 Tf 202.894 460.162 Td [(@)]TJ/F135 8.2889 Tf 5.146 0 Td [(y)]TJ/F183 9.5641 Tf 12.491 13.495 Td [(@)]TJ/F50 9.9626 Tf 5.145 0 Td [(dfe)]TJ ET q 1 0 0 1 220.531 469.344 cm []0 d 0 J 0.44 w 0 0 m 20.837 0 l S Q BT /F183 9.5641 Tf 225.228 460.162 Td [(@)-80(\022)]TJ/F39 5.8022 Tf 9.354 -1.435 Td [(l)]TJ/F199 9.5641 Tf 7.981 21.654 Td [(\025)]TJ/F50 9.9626 Tf 6.807 -13.428 Td [(dfe)]TJ/F182 6.6948 Tf 15.691 3.949 Td [(\000)]TJ/F20 5.8022 Tf 5.222 0 Td [(3)]TJ/F20 8.2889 Tf 215.223 -3.949 Td [(\050B.3\051)]TJ ET 1 0 0 1 37.134 466.953 cm 0 g 0 G 0 g 0 G 1 0 0 1 -37.134 -466.953 cm BT /F20 8.2889 Tf 49.089 445.455 Td [(where)]TJ ET 1 0 0 1 37.134 445.455 cm 0 g 0 G 0 g 0 G 1 0 0 1 -37.134 -445.455 cm BT /F183 9.5641 Tf 74.195 432.76 Td [(@)]TJ/F50 9.9626 Tf 5.145 0 Td [(SSE)]TJ/F183 9.5641 Tf 15.691 0 Td [(.\025/)]TJ ET q 1 0 0 1 74.195 428.447 cm []0 d 0 J 0.44 w 0 0 m 33.203 0 l S Q BT /F183 9.5641 Tf 85.969 419.265 Td [(@)]TJ/F135 8.2889 Tf 5.146 0 Td [(y)]TJ/F182 9.5641 Tf 20.135 6.791 Td [(D)]TJ/F20 8.2889 Tf 10.117 0 Td [(2)]TJ/F182 9.5641 Tf 4.799 0 Td [(T)]TJ/F135 8.2889 Tf 3.185 0 Td [(I)]TJ/F182 9.5641 Tf 4.993 0 Td [(\000)]TJ/F135 8.2889 Tf 9.585 0 Td [(A)]TJ/F182 9.5641 Tf 5.57 0 Td [(U)]TJ/F182 6.6948 Tf 3.185 3.949 Td [(0)]TJ/F182 9.5641 Tf 2.306 -3.949 Td [(T)]TJ/F135 8.2889 Tf 3.185 0 Td [(I)]TJ/F182 9.5641 Tf 4.993 0 Td [(\000)]TJ/F135 8.2889 Tf 9.585 0 Td [(A)]TJ/F182 9.5641 Tf 5.571 0 Td [(U)]TJ/F135 8.2889 Tf 3.184 0 Td [(y)]TJ ET 1 0 0 1 37.134 426.056 cm 0 g 0 G 0 g 0 G 1 0 0 1 -37.134 -426.056 cm BT /F183 9.5641 Tf 74.195 405.376 Td [(@)]TJ/F20 5.8022 Tf 5.145 3.472 Td [(2)]TJ/F50 9.9626 Tf 3.858 -3.472 Td [(SSE)]TJ/F183 9.5641 Tf 15.691 0 Td [(.\025/)]TJ ET q 1 0 0 1 74.195 401.063 cm []0 d 0 J 0.44 w 0 0 m 37.061 0 l S Q BT /F183 9.5641 Tf 82.177 391.881 Td [(@)-80(\022)]TJ/F39 5.8022 Tf 9.354 -1.435 Td [(l)]TJ/F183 9.5641 Tf 2.088 1.435 Td [(@)]TJ/F135 8.2889 Tf 5.145 0 Td [(y)]TJ/F182 9.5641 Tf 16.344 6.791 Td [(D)-278(\000)]TJ/F20 8.2889 Tf 17.576 0 Td [(2)]TJ/F199 9.5641 Tf 6.393 13.428 Td [(\032\024)]TJ/F183 9.5641 Tf 12.682 -6.724 Td [(@)]TJ/F135 8.2889 Tf 5.146 0 Td [(A)]TJ ET q 1 0 0 1 151.396 401.063 cm []0 d 0 J 0.44 w 0 0 m 11.442 0 l S Q BT /F183 9.5641 Tf 151.396 391.881 Td [(@)-80(\022)]TJ/F39 5.8022 Tf 9.354 -1.435 Td [(l)]TJ/F199 9.5641 Tf 3.283 21.654 Td [(\025)]TJ/F182 6.6948 Tf 5.213 -2.145 Td [(0)]TJ/F182 9.5641 Tf 3.899 -11.284 Td [(T)]TJ/F135 8.2889 Tf 3.185 0 Td [(I)]TJ/F182 9.5641 Tf 4.993 0 Td [(\000)]TJ/F135 8.2889 Tf 9.586 0 Td [(A)]TJ/F182 9.5641 Tf 5.57 0 Td [(U)-222(C)-222(T)]TJ/F135 8.2889 Tf 18.08 0 Td [(I)]TJ/F182 9.5641 Tf 4.994 0 Td [(\000)]TJ/F135 8.2889 Tf 9.585 0 Td [(A)]TJ/F182 9.5641 Tf 5.57 0 Td [(U)]TJ/F182 6.6948 Tf 3.185 3.95 Td [(0)]TJ/F183 9.5641 Tf 3.864 2.755 Td [(@)]TJ/F135 8.2889 Tf 5.146 0 Td [(A)]TJ ET q 1 0 0 1 241.394 401.063 cm []0 d 0 J 0.44 w 0 0 m 11.442 0 l S Q BT /F183 9.5641 Tf 241.394 391.881 Td [(@)-80(\022)]TJ/F39 5.8022 Tf 9.354 -1.435 Td [(l)]TJ/F199 9.5641 Tf 3.283 21.654 Td [(\033)]TJ/F135 8.2889 Tf 7.505 -13.428 Td [(y)]TJ/F183 9.5641 Tf 4.509 0 Td [(:)]TJ ET 1 0 0 1 37.134 398.672 cm 0 g 0 G 0 g 0 G 1 0 0 1 3.188 -21.852 cm 0 g 0 G 1 0 0 1 -40.322 -376.82 cm BT /F182 9.5641 Tf 40.322 376.82 Td [(\017)]TJ ET 1 0 0 1 45.104 376.82 cm 0 g 0 G 1 0 0 1 -45.104 -376.82 cm BT /F20 8.2889 Tf 49.089 376.82 Td [(The)-250(sampling)-250(variance)-250(of)]TJ/F183 9.5641 Tf 97.187 0 Td [(!)-20(.)]TJ/F39 8.2889 Tf 10.023 0 Td [(t)]TJ/F183 9.5641 Tf 3.643 0 Td [(/)]TJ/F182 9.5641 Tf 6.224 0 Td [(D)]TJ/F20 8.2889 Tf 10.117 0 Td [(ln)]TJ/F183 9.5641 Tf 9.095 0 Td [(\025.)]TJ/F39 8.2889 Tf 8.799 0 Td [(t)]TJ/F183 9.5641 Tf 3.643 0 Td [(/)]TJ/F20 8.2889 Tf 5.64 0 Td [(is)-250(estimated)-250(by:)]TJ ET 1 0 0 1 37.134 376.82 cm 0 g 0 G 0 g 0 G 1 0 0 1 -37.134 -376.82 cm BT /F50 9.9626 Tf 72.999 352.17 Td [(Var)]TJ/F183 9.5641 Tf 15.691 0 Td [(.!)-20(.)]TJ/F39 8.2889 Tf 13.591 0 Td [(t)]TJ/F183 9.5641 Tf 3.643 0 Td [(//)]TJ/F182 9.5641 Tf 9.791 0 Td [(D)]TJ/F199 9.5641 Tf 10.117 13.428 Td [(\022)]TJ/F20 8.2889 Tf 7.651 -6.724 Td [(d)]TJ/F183 9.5641 Tf 4.932 0 Td [(!)]TJ ET q 1 0 0 1 133.483 354.561 cm []0 d 0 J 0.44 w 0 0 m 11.388 0 l S Q BT /F20 8.2889 Tf 134.457 345.379 Td [(d)]TJ/F135 8.2889 Tf 4.932 0 Td [(y)]TJ/F199 9.5641 Tf 6.678 20.219 Td [(\023)]TJ/F186 9.0859 Tf 8.049 -13.428 Td [(\006)]TJ/F199 9.5641 Tf 8.999 13.428 Td [(\022)]TJ/F20 8.2889 Tf 7.652 -6.724 Td [(d)]TJ/F183 9.5641 Tf 4.931 0 Td [(!)]TJ ET q 1 0 0 1 170.767 354.561 cm []0 d 0 J 0.44 w 0 0 m 11.388 0 l S Q BT /F20 8.2889 Tf 171.74 345.379 Td [(d)]TJ/F135 8.2889 Tf 4.932 0 Td [(y)]TJ/F199 9.5641 Tf 6.678 20.219 Td [(\023)]TJ/F182 6.6948 Tf 6.456 -2.144 Td [(0)]TJ/F20 8.2889 Tf 295.7 -11.284 Td [(\050B.4\051)]TJ ET 1 0 0 1 37.134 352.17 cm 0 g 0 G 0 g 0 G 1 0 0 1 -37.134 -352.17 cm BT /F20 8.2889 Tf 49.089 330.673 Td [(where)]TJ ET 1 0 0 1 37.134 330.673 cm 0 g 0 G 0 g 0 G 1 0 0 1 -37.134 -330.673 cm BT /F20 8.2889 Tf 74.195 314.755 Td [(d)]TJ/F183 9.5641 Tf 4.932 0 Td [(!)]TJ ET q 1 0 0 1 74.195 310.441 cm []0 d 0 J 0.44 w 0 0 m 11.388 0 l S Q BT /F20 8.2889 Tf 75.168 301.26 Td [(d)]TJ/F135 8.2889 Tf 4.932 0 Td [(y)]TJ/F182 9.5641 Tf 9.335 6.79 Td [(D)]TJ/F186 9.5641 Tf 10.116 0 Td [(\040)]TJ/F183 9.5641 Tf 6.973 0 Td [(.)]TJ/F39 8.2889 Tf 3.567 0 Td [(t)]TJ/F183 9.5641 Tf 3.643 0 Td [(/)]TJ/F182 6.6948 Tf 3.567 3.95 Td [(0)]TJ/F199 9.5641 Tf 3.9 9.478 Td [(\022)]TJ/F20 8.2889 Tf 7.651 -6.723 Td [(d)]TJ/F186 9.5641 Tf 4.932 0 Td [(\022)]TJ ET q 1 0 0 1 128.852 310.441 cm []0 d 0 J 0.44 w 0 0 m 9.503 0 l S Q BT /F20 8.2889 Tf 128.884 301.26 Td [(d)]TJ/F135 8.2889 Tf 4.931 0 Td [(y)]TJ/F199 9.5641 Tf 5.736 20.218 Td [(\023)]TJ/F20 8.2889 Tf 16.339 -13.428 Td [(and)]TJ 23.733 6.705 Td [(d)]TJ/F186 9.5641 Tf 4.932 0 Td [(\022)]TJ ET q 1 0 0 1 179.623 310.441 cm []0 d 0 J 0.44 w 0 0 m 9.503 0 l S Q BT /F20 8.2889 Tf 179.654 301.26 Td [(d)]TJ/F135 8.2889 Tf 4.932 0 Td [(y)]TJ/F182 9.5641 Tf 8.393 6.79 Td [(D)]TJ/F199 9.5641 Tf 10.116 13.428 Td [(\024)]TJ/F183 9.5641 Tf 6.408 -6.723 Td [(@)]TJ/F20 5.8022 Tf 5.146 3.472 Td [(2)]TJ/F50 9.9626 Tf 3.857 -3.472 Td [(GCV)]TJ/F183 9.5641 Tf 15.691 0 Td [(.\025/)]TJ ET q 1 0 0 1 209.503 310.441 cm []0 d 0 J 0.44 w 0 0 m 37.061 0 l S Q BT /F183 9.5641 Tf 221.246 301.26 Td [(@)]TJ/F20 5.8022 Tf 5.146 2.764 Td [(2)]TJ/F186 9.5641 Tf 3.857 -2.764 Td [(\022)]TJ/F199 9.5641 Tf 17.51 20.218 Td [(\025)]TJ/F182 6.6948 Tf 5.213 -1.383 Td [(\000)]TJ/F20 5.8022 Tf 5.222 0 Td [(1)]TJ/F183 9.5641 Tf 6.647 -5.34 Td [(@)]TJ/F20 5.8022 Tf 5.145 3.472 Td [(2)]TJ/F50 9.9626 Tf 3.858 -3.472 Td [(GCV)]TJ/F183 9.5641 Tf 15.691 0 Td [(.\025/)]TJ ET q 1 0 0 1 264.841 310.441 cm []0 d 0 J 0.44 w 0 0 m 37.061 0 l S Q BT /F183 9.5641 Tf 273.685 301.26 Td [(@)]TJ/F186 9.5641 Tf 5.146 0 Td [(\022)]TJ/F183 9.5641 Tf 4.571 0 Td [(@)]TJ/F135 8.2889 Tf 5.146 0 Td [(y)]TJ/F183 9.5641 Tf 14.549 6.79 Td [(:)]TJ ET 1 0 0 1 37.134 308.05 cm 0 g 0 G 0 g 0 G 1 0 0 1 3.188 -23.687 cm 0 g 0 G 1 0 0 1 -40.322 -284.363 cm BT /F182 9.5641 Tf 40.322 284.363 Td [(\017)]TJ ET 1 0 0 1 45.104 284.363 cm 0 g 0 G 1 0 0 1 -45.104 -284.363 cm BT /F20 8.2889 Tf 49.089 284.363 Td [(Since)-250(the)-250(estimated)-250(curve)]TJ/F182 9.5641 Tf 100.899 0.252 Td [(O)]TJ/F135 8.2889 Tf -0.737 -0.252 Td [(x)]TJ/F183 9.5641 Tf 4.659 0 Td [(.)]TJ/F39 8.2889 Tf 3.567 0 Td [(t)]TJ/F183 9.5641 Tf 3.643 0 Td [(/)]TJ/F182 9.5641 Tf 6.224 0 Td [(D)]TJ 10.592 0.252 Td [(O)]TJ/F135 8.2889 Tf -0.475 -0.252 Td [(c)]TJ/F182 6.6948 Tf 4.136 4.831 Td [(0)]TJ/F186 9.5641 Tf 2.306 -4.831 Td [(\036)]TJ/F183 9.5641 Tf 5.862 0 Td [(.)]TJ/F39 8.2889 Tf 3.568 0 Td [(t)]TJ/F183 9.5641 Tf 3.643 0 Td [(/)]TJ/F20 8.2889 Tf 3.567 0 Td [(,)-250(we)-250(can)-250(estimate)-250(the)-250(sampling)-250(variance)-250(of)]TJ/F182 9.5641 Tf 164.45 0.252 Td [(O)]TJ/F135 8.2889 Tf -0.737 -0.252 Td [(x)]TJ/F183 9.5641 Tf 4.659 0 Td [(.)]TJ/F39 8.2889 Tf 3.567 0 Td [(t)]TJ/F183 9.5641 Tf 3.643 0 Td [(/)]TJ/F20 8.2889 Tf 5.639 0 Td [(by)]TJ ET 1 0 0 1 37.134 284.363 cm 0 g 0 G 0 g 0 G 1 0 0 1 -37.134 -284.363 cm BT /F50 9.9626 Tf 72.999 266.836 Td [(Var)]TJ/F182 9.5641 Tf 15.691 0 Td [(T)]TJ 3.922 0.252 Td [(O)]TJ/F135 8.2889 Tf -0.737 -0.252 Td [(x)]TJ/F183 9.5641 Tf 4.659 0 Td [(.)]TJ/F39 8.2889 Tf 3.567 0 Td [(t)]TJ/F183 9.5641 Tf 3.643 0 Td [(/)]TJ/F182 9.5641 Tf 3.567 0 Td [(U)-278(D)]TJ/F186 9.5641 Tf 15.959 0 Td [(\036)]TJ/F182 6.6948 Tf 5.862 3.987 Td [(0)]TJ/F183 9.5641 Tf 2.306 -3.987 Td [(.)]TJ/F39 8.2889 Tf 3.567 0 Td [(t)]TJ/F183 9.5641 Tf 3.643 0 Td [(/)]TJ/F50 9.9626 Tf 3.568 0 Td [(Var)]TJ/F183 9.5641 Tf 15.691 0 Td [(.)]TJ/F182 9.5641 Tf 4.043 0.252 Td [(O)]TJ/F135 8.2889 Tf -0.476 -0.252 Td [(c)]TJ/F183 9.5641 Tf 4.136 0 Td [(/)]TJ/F186 9.5641 Tf 3.568 0 Td [(\036)]TJ/F183 9.5641 Tf 5.863 0 Td [(.)]TJ/F39 8.2889 Tf 3.567 0 Td [(t)]TJ/F183 9.5641 Tf 3.643 0 Td [(/:)]TJ/F20 8.2889 Tf 303.255 0 Td [(\050B.5\051)]TJ ET 1 0 0 1 37.134 266.836 cm 0 g 0 G 0 g 0 G 1 0 0 1 -37.134 -266.836 cm BT /F20 8.2889 Tf 49.089 251.322 Td [(where)]TJ ET 1 0 0 1 37.134 251.322 cm 0 g 0 G 0 g 0 G 1 0 0 1 -37.134 -251.322 cm BT /F50 9.9626 Tf 72.999 230.086 Td [(Var)]TJ/F182 9.5641 Tf 15.691 0 Td [(T)]TJ 3.661 0.252 Td [(O)]TJ/F135 8.2889 Tf -0.476 -0.252 Td [(c)]TJ/F182 9.5641 Tf 4.136 0 Td [(U)-278(D)]TJ/F199 9.5641 Tf 15.959 13.428 Td [(\022)]TJ/F20 8.2889 Tf 7.837 -6.724 Td [(d)]TJ/F182 9.5641 Tf 5.408 0.252 Td [(O)]TJ/F135 8.2889 Tf -0.476 -0.252 Td [(c)]TJ ET q 1 0 0 1 119.621 232.477 cm []0 d 0 J 0.44 w 0 0 m 9.441 0 l S Q BT /F20 8.2889 Tf 119.621 223.296 Td [(d)]TJ/F135 8.2889 Tf 4.932 0 Td [(y)]TJ/F199 9.5641 Tf 5.704 20.218 Td [(\023)]TJ/F186 9.0859 Tf 8.05 -13.428 Td [(\006)]TJ/F199 9.5641 Tf 8.999 13.428 Td [(\022)]TJ/F20 8.2889 Tf 7.838 -6.724 Td [(d)]TJ/F182 9.5641 Tf 5.408 0.252 Td [(O)]TJ/F135 8.2889 Tf -0.476 -0.252 Td [(c)]TJ ET q 1 0 0 1 154.958 232.477 cm []0 d 0 J 0.44 w 0 0 m 9.441 0 l S Q BT /F20 8.2889 Tf 154.958 223.296 Td [(d)]TJ/F135 8.2889 Tf 4.931 0 Td [(y)]TJ/F199 9.5641 Tf 5.705 20.218 Td [(\023)]TJ/F182 6.6948 Tf 6.456 -1.892 Td [(0)]TJ/F183 9.5641 Tf 3.9 -11.536 Td [(;)]TJ ET 1 0 0 1 37.134 230.086 cm 0 g 0 G 0 g 0 G 1 0 0 1 -37.134 -230.086 cm BT /F20 8.2889 Tf 74.381 209.6 Td [(d)]TJ/F182 9.5641 Tf 5.408 0.252 Td [(O)]TJ/F135 8.2889 Tf -0.476 -0.252 Td [(c)]TJ ET q 1 0 0 1 74.195 205.286 cm []0 d 0 J 0.44 w 0 0 m 9.441 0 l S Q BT /F20 8.2889 Tf 74.195 196.105 Td [(d)]TJ/F135 8.2889 Tf 4.932 0 Td [(y)]TJ/F182 9.5641 Tf 8.361 6.79 Td [(D)]TJ/F135 8.2889 Tf 10.117 0 Td [(B)]TJ/F182 6.6948 Tf 5.288 3.95 Td [(\000)]TJ/F20 5.8022 Tf 5.222 0 Td [(1)]TJ/F186 9.0859 Tf 3.858 -3.95 Td [(\010)]TJ/F182 6.6948 Tf 6.85 3.95 Td [(0)]TJ/F135 8.2889 Tf 2.306 -3.95 Td [(W)]TJ/F182 9.5641 Tf 10.746 0 Td [(C)]TJ/F199 9.5641 Tf 9.585 9.086 Td [(X)]TJ/F39 5.8022 Tf 5.972 -19.542 Td [(l)]TJ/F20 8.2889 Tf 11.431 17.161 Td [(d)]TJ/F182 9.5641 Tf 5.407 0.252 Td [(O)]TJ/F135 8.2889 Tf -0.475 -0.252 Td [(c)]TJ ET q 1 0 0 1 157.783 205.286 cm []0 d 0 J 0.44 w 0 0 m 11.228 0 l S Q BT /F20 8.2889 Tf 157.783 196.105 Td [(d)]TJ/F183 9.5641 Tf 4.932 0 Td [(\022)]TJ/F39 5.8022 Tf 4.208 -1.435 Td [(l)]TJ/F20 8.2889 Tf 4.479 14.93 Td [(d)]TJ/F183 9.5641 Tf 4.932 0 Td [(\022)]TJ/F39 5.8022 Tf 4.208 -1.435 Td [(l)]TJ ET q 1 0 0 1 171.402 205.286 cm []0 d 0 J 0.44 w 0 0 m 11.228 0 l S Q BT /F20 8.2889 Tf 172.295 196.105 Td [(d)]TJ/F135 8.2889 Tf 4.932 0 Td [(y)]TJ/F183 9.5641 Tf 6.598 6.79 Td [(;)]TJ ET 1 0 0 1 37.134 202.895 cm 0 g 0 G 0 g 0 G 1 0 0 1 -37.134 -202.895 cm BT /F20 8.2889 Tf 72.999 172.307 Td [(and)]TJ 24.813 6.704 Td [(d)]TJ/F182 9.5641 Tf 5.408 0.252 Td [(O)]TJ/F135 8.2889 Tf -0.476 -0.252 Td [(c)]TJ ET q 1 0 0 1 96.732 174.698 cm []0 d 0 J 0.44 w 0 0 m 11.228 0 l S Q BT /F20 8.2889 Tf 96.732 165.517 Td [(d)]TJ/F183 9.5641 Tf 4.932 0 Td [(\022)]TJ/F39 5.8022 Tf 4.208 -1.435 Td [(l)]TJ/F182 9.5641 Tf 5.94 8.225 Td [(D)]TJ/F20 8.2889 Tf 11.313 6.704 Td [(d)]TJ/F135 8.2889 Tf 4.931 0 Td [(B)]TJ/F182 6.6948 Tf 5.289 3.876 Td [(\000)]TJ/F20 5.8022 Tf 5.222 0 Td [(1)]TJ ET q 1 0 0 1 123.125 174.698 cm []0 d 0 J 0.44 w 0 0 m 19.3 0 l S Q BT /F20 8.2889 Tf 127.16 165.517 Td [(d)]TJ/F183 9.5641 Tf 4.932 0 Td [(\022)]TJ/F39 5.8022 Tf 4.209 -1.435 Td [(l)]TJ/F186 9.0859 Tf 7.319 8.225 Td [(\010)]TJ/F182 6.6948 Tf 6.851 3.95 Td [(0)]TJ/F135 8.2889 Tf 2.305 -3.95 Td [(Wy)]TJ/F183 9.5641 Tf 13.13 0 Td [(:)]TJ ET 1 0 0 1 37.134 172.307 cm 0 g 0 G 0 g 0 G 1 0 0 1 -37.134 -172.307 cm BT /F135 8.2889 Tf 37.134 137.048 Td [(References)]TJ ET 1 0 0 1 37.134 137.048 cm 0 g 0 G 0 g 0 G 1 0 0 1 -3.985 -18.721 cm 0 g 0 G 0 g 0 G 1 0 0 1 -33.149 -118.327 cm BT /F20 6.6311 Tf 37.134 118.327 Td [(Baladandayuthapani,)-234(V.,)-234(Mallick,)-233(B.K.,)-234(Carroll,)-234(R.J.,)-234(2005.)-234(Spatially)-234(adaptive)-233(Bayesian)-234(penalized)-234(regression)-234(splines)-234(\050P-splines\051.)-234(Journal)-233(of)-234(Computational)-234(and)]TJ ET 1 0 0 1 37.134 118.327 cm 0 g 0 G 0 g 0 G 1 0 0 1 -37.134 -118.327 cm BT /F20 6.6311 Tf 49.089 110.356 Td [(Graphical)-250(Statistics)-250(14,)-250(378\025394.)]TJ ET 1 0 0 1 37.134 110.356 cm 0 g 0 G 0 g 0 G 1 0 0 1 -3.985 -8.115 cm 0 g 0 G 0 g 0 G 1 0 0 1 -33.149 -102.241 cm BT /F20 6.6311 Tf 37.134 102.241 Td [(Boularan,)-196(J.,)-197(Fer)1(re,)-197(L.,)-196(Vieu,)-196(P.,)-197(1995.)-196(A)-196(nonparametric)-196(model)-196(for)-197(un)1(balanced)-197(longitudinal)-196(data)-196(with)-196(application)-196(to)-197(geophysical-data.)-196(Computational)-196(Statistics)]TJ ET 1 0 0 1 37.134 102.241 cm 0 g 0 G 0 g 0 G 1 0 0 1 -37.134 -102.241 cm BT /F20 6.6311 Tf 49.089 94.271 Td [(10)-250(\0503\051,)-250(285\025298.)]TJ ET 1 0 0 1 37.134 94.271 cm 0 g 0 G 0 g 0 G 1 0 0 1 -3.985 -8.115 cm 0 g 0 G 0 g 0 G 1 0 0 1 -33.149 -86.156 cm BT /F20 6.6311 Tf 37.134 86.156 Td [(Brockmann,)-346(M.,)-346(Gasser,)-347(T.,)-346(Herrmann,)-346(E.,)-346(1993.)-346(Locally)-346(adaptive)-346(bandwidth)-346(choice)-346(for)-347(kernel)-346(regression)-346(estimators.)-346(Journal)-346(of)-346(the)-346(American)-346(Statistical)]TJ ET 1 0 0 1 37.134 86.156 cm 0 g 0 G 0 g 0 G 1 0 0 1 -37.134 -86.156 cm BT /F20 6.6311 Tf 49.089 78.186 Td [(Association)-250(88)-250(\050424\051,)-250(1302\0251309.)]TJ ET 1 0 0 1 37.134 78.186 cm 0 g 0 G 0 g 0 G 1 0 0 1 -3.985 -8.116 cm 0 g 0 G 0 g 0 G 1 0 0 1 -33.149 -70.07 cm BT /F20 6.6311 Tf 37.134 70.07 Td [(Cao,)-250(J.,)-250(Ramsay,)-250(J.O.,)-250(2007.)-250(Parameter)-250(cascades)-250(and)-250(profiling)-250(in)-250(functional)-250(data)-250(analysis.)-250(Computational)-250(Statistics)-250(22)-250(\0503\051,)-250(335\025351.)]TJ ET 1 0 0 1 37.134 70.07 cm 0 g 0 G 0 g 0 G 1 0 0 1 -3.985 -8.115 cm 0 g 0 G 0 g 0 G 1 0 0 1 -33.149 -61.955 cm BT /F20 6.6311 Tf 37.134 61.955 Td [(de)-250(Boor,)-250(C.,)-250(2001.)-250(A)-250(Practical)-250(Guide)-250(to)-250(Splines.)-250(Springer,)-250(New)-250(York.)]TJ ET 1 0 0 1 37.134 61.955 cm 0 g 0 G 0 g 0 G 1 0 0 1 -3.985 -8.115 cm 0 g 0 G 0 g 0 G 1 0 0 1 -33.149 -53.84 cm BT /F20 6.6311 Tf 37.134 53.84 Td [(Eubank,)-250(R.L.,)-250(Speckman,)-250(P.,)-250(1993.)-250(Confidence)-250(bands)-250(in)-250(nonparametric)-250(regression.)-250(Journal)-250(of)-250(the)-250(American)-250(Statistical)-250(Association)-250(88,)-250(1287\0251301.)]TJ ET 1 0 0 1 37.134 53.84 cm 0 g 0 G 0 g 0 G 1 0 0 1 0 -13.354 cm 0 g 0 G 1 0 0 1 466.252 0 cm 0 g 0 G endstream endobj 263 0 obj <> endobj 264 0 obj <> /ProcSet [ /PDF /Text ] >> endobj 265 0 obj <>stream 1 0 0 1 40.867 702.503 cm 0 g 0 G 1 0 0 1 -40.867 -702.503 cm BT /F20 6.6311 Tf 40.867 702.503 Td [(2562)]TJ/F39 6.6311 Tf 108.657 0 Td [(J.)-250(Cao,)-250(J.O.)-250(Ramsay)-250(/)-250(Computational)-250(Statistics)-250(and)-250(Data)-250(Analysis)-250(53)-250(\0502009\051)-250(2550\0252562)]TJ ET 1 0 0 1 507.118 702.503 cm 0 g 0 G 1 0 0 1 -470.237 -21.918 cm 0 g 0 G 0 g 0 G 1 0 0 1 -36.881 -680.585 cm BT /F20 6.6311 Tf 40.867 680.585 Td [(Fan,)-236(J.,)-235(Gijbels,)-236(I.,)-235(1995.)-236(Data-driven)-235(bandwidth)-236(selection)-235(in)-236(local)-236(po)1(lynomial)-236(fitting:)-236(Variable)-235(bandwidth)-236(and)-235(spatial)-236(adaptation.)-235(Journal)-236(of)-235(Royal)-236(Statistical)]TJ ET 1 0 0 1 40.867 680.585 cm 0 g 0 G 0 g 0 G 1 0 0 1 -40.867 -680.585 cm BT /F20 6.6311 Tf 52.822 672.615 Td [(Society.)-250(Section)-250(B)-250(57)-250(\0502\051,)-250(371\025394.)]TJ ET 1 0 0 1 40.867 672.615 cm 0 g 0 G 0 g 0 G 1 0 0 1 -3.985 -7.97 cm 0 g 0 G 0 g 0 G 1 0 0 1 -36.882 -664.645 cm BT /F20 6.6311 Tf 40.867 664.645 Td [(Fan,)-357(J.,)-357(Hall,)-357(P.,)-357(Martin,)-357(M.A.,)-357(Patil,)-357(P.,)-357(1996.)-357(On)-357(local)-357(smoothing)-357(of)-357(nonparametric)-357(curve)-357(estimators.)-356(Journal)-357(of)-357(the)-357(American)-357(Statistical)-357(Association)-357(91,)]TJ ET 1 0 0 1 40.867 664.645 cm 0 g 0 G 0 g 0 G 1 0 0 1 -40.867 -664.645 cm BT /F20 6.6311 Tf 52.822 656.675 Td [(258\025266.)]TJ ET 1 0 0 1 40.867 656.675 cm 0 g 0 G 0 g 0 G 1 0 0 1 -3.985 -7.97 cm 0 g 0 G 0 g 0 G 1 0 0 1 -36.882 -648.705 cm BT /F20 6.6311 Tf 40.867 648.705 Td [(Friedman,)-250(J.H.,)-250(1991.)-250(Multivariate)-250(adaptive)-250(regression)-250(splines)-250(\050with)-250(discussion\051.)-250(The)-250(Annals)-250(of)-250(Statistics)-250(19,)-250(1\025141.)]TJ ET 1 0 0 1 40.867 648.705 cm 0 g 0 G 0 g 0 G 1 0 0 1 -3.985 -7.97 cm 0 g 0 G 0 g 0 G 1 0 0 1 -36.882 -640.735 cm BT /F20 6.6311 Tf 40.867 640.735 Td [(Friedman,)-250(J.H.,)-250(Silverman,)-250(B.W.,)-250(1989.)-250(Flexible)-250(parsimonious)-250(smoothing)-250(and)-250(additive)-250(modeling)-250(\050with)-250(discussion\051.)-250(Technometrics)-250(31,)-250(3\02539.)]TJ ET 1 0 0 1 40.867 640.735 cm 0 g 0 G 0 g 0 G 1 0 0 1 -3.985 -7.97 cm 0 g 0 G 0 g 0 G 1 0 0 1 -36.882 -632.765 cm BT /F20 6.6311 Tf 40.867 632.765 Td [(Gu,)-250(C.,)-250(2002.)-250(Smoothing)-250(Spline)-250(Anova)-250(Models.)-250(Springer,)-250(New)-250(York.)]TJ ET 1 0 0 1 40.867 632.765 cm 0 g 0 G 0 g 0 G 1 0 0 1 -3.985 -7.97 cm 0 g 0 G 0 g 0 G 1 0 0 1 -36.882 -624.795 cm BT /F20 6.6311 Tf 40.867 624.795 Td [(Hardle,)-366(W.,)-366(Bowman,)-366(A.,)-365(1983.)-366(Bootstrapping)-366(in)-366(nonparametric)-366(regression)-365(\025)-366(local)-366(adaptive)-366(smoothing)-365(and)-366(confidence)-366(bands.)-366(Journal)-365(of)-366(the)-366(American)]TJ ET 1 0 0 1 40.867 624.795 cm 0 g 0 G 0 g 0 G 1 0 0 1 -40.867 -624.795 cm BT /F20 6.6311 Tf 52.822 616.824 Td [(Statistical)-250(Association)-250(83,)-250(102\025110.)]TJ ET 1 0 0 1 40.867 616.824 cm 0 g 0 G 0 g 0 G 1 0 0 1 -3.985 -7.97 cm 0 g 0 G 0 g 0 G 1 0 0 1 -36.882 -608.854 cm BT /F20 6.6311 Tf 40.867 608.854 Td [(Herrmann,)-250(E.,)-250(1997.)-250(Local)-250(bandwidth)-250(choice)-250(in)-250(kernel)-250(regression)-250(estimation.)-250(Journal)-250(of)-250(Computational)-250(and)-250(Graphical)-250(Statistics)-250(6)-250(\0501\051,)-250(35\02554.)]TJ ET 1 0 0 1 40.867 608.854 cm 0 g 0 G 0 g 0 G 1 0 0 1 -3.985 -7.97 cm 0 g 0 G 0 g 0 G 1 0 0 1 -36.882 -600.884 cm BT /F20 6.6311 Tf 40.867 600.884 Td [(Holst,)-344(U.,)-345(H\374ssjer,)-344(O.,)-344(Bj\374rklund,)-345(C.,)-344(Ragnarson,)-344(P.,)-345(Edner,)-344(H.,)-344(1996.)-345(Locally)-344(weighted)-344(least)-344(squares)-345(kernel)-344(regression)-344(and)-344(statistical)-345(evaluation)-344(of)-344(LIDAR)]TJ ET 1 0 0 1 40.867 600.884 cm 0 g 0 G 0 g 0 G 1 0 0 1 -40.867 -600.884 cm BT /F20 6.6311 Tf 52.822 592.914 Td [(measurements.)-250(Environmetrics)-250(7,)-250(401\025416.)]TJ ET 1 0 0 1 40.867 592.914 cm 0 g 0 G 0 g 0 G 1 0 0 1 -3.985 -7.97 cm 0 g 0 G 0 g 0 G 1 0 0 1 -36.882 -584.944 cm BT /F20 6.6311 Tf 40.867 584.944 Td [(Lepski,)-285(O.V.,)-284(Mammen,)-285(E.,)-285(Spokoiny,)-284(V.G.,)-285(1997.)-285(Optimal)-285(spatial)-284(adaptation)-285(to)-285(inhomogeneous)-284(smoothness:)-285(An)-285(approach)-284(based)-285(on)-285(kernel)-284(estimates)-285(with)]TJ ET 1 0 0 1 40.867 584.944 cm 0 g 0 G 0 g 0 G 1 0 0 1 -40.867 -584.944 cm BT /F20 6.6311 Tf 52.822 576.974 Td [(variable)-250(bandwidth)-250(selectors.)-250(The)-250(Annals)-250(of)-250(Statistics)-250(25)-250(\0503\051,)-250(929\025947.)]TJ ET 1 0 0 1 40.867 576.974 cm 0 g 0 G 0 g 0 G 1 0 0 1 -3.985 -7.97 cm 0 g 0 G 0 g 0 G 1 0 0 1 -36.882 -569.004 cm BT /F20 6.6311 Tf 40.867 569.004 Td [(Nunez-Anton,)-228(V.,)-227(Rodriguez-Poo,)-228(J.M.,)-228(Vieu,)-228(P.,)-227(1999.)-228(Longitudinal)-228(data)-228(with)-227(nonstationary)-228(errors:)-228(A)-227(nonparametric)-228(three-stage)-228(approach.)-228(Test)-227(8,)-228(201\025231.)]TJ ET 1 0 0 1 40.867 569.004 cm 0 g 0 G 0 g 0 G 1 0 0 1 -3.985 -7.97 cm 0 g 0 G 0 g 0 G 1 0 0 1 -36.882 -561.034 cm BT /F20 6.6311 Tf 40.867 561.034 Td [(Nychka,)-250(D.,)-250(1995.)-250(Splines)-250(as)-250(local)-250(smoothers.)-250(The)-250(Annals)-250(of)-250(Statistics)-250(23,)-250(1175\0251197.)]TJ ET 1 0 0 1 40.867 561.034 cm 0 g 0 G 0 g 0 G 1 0 0 1 -3.985 -7.97 cm 0 g 0 G 0 g 0 G 1 0 0 1 -36.882 -553.064 cm BT /F20 6.6311 Tf 40.867 553.064 Td [(Ramsay,)-254(J.O.,)-254(Hooker,)-254(G.,)-254(Campbell,)-254(D.,)-254(Cao,)-254(J.,)-254(2007.)-254(Parameter)-255(estimation)-254(for)-254(differential)-254(equations:)-254(A)-254(generalized)-254(smoothing)-254(approach)-254(\050with)-254(discussion\051.)]TJ ET 1 0 0 1 40.867 553.064 cm 0 g 0 G 0 g 0 G 1 0 0 1 -40.867 -553.064 cm BT /F20 6.6311 Tf 52.822 545.093 Td [(Journal)-250(of)-250(the)-250(Royal)-250(Statistical)-250(Society.)-250(Series)-250(B)-250(69,)-250(741\025796.)]TJ ET 1 0 0 1 40.867 545.093 cm 0 g 0 G 0 g 0 G 1 0 0 1 -3.985 -7.97 cm 0 g 0 G 0 g 0 G 1 0 0 1 -36.882 -537.123 cm BT /F20 6.6311 Tf 40.867 537.123 Td 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67 /C put dup 69 /E put dup 71 /G put dup 78 /N put dup 80 /P put dup 83 /S put dup 84 /T put dup 86 /V put dup 97 /a put dup 100 /d put dup 101 /e put dup 102 /f put dup 108 /l put dup 109 /m put dup 111 /o put dup 114 /r put readonly def currentdict end currentfile eexec oc;jAw-0X_bY`zx #8D(R 52B& KnRA> -Nk/]^I߮ ܙV{NP4oۻ~;K8\2ܴCmX4{`&LU."sm ^/F:{SApA4a$%=z28neZ ADJqȆ&]wm$o2%:t)rYREJQE@owh)pŃdr&]PrfOSϬ Lu=jt755);dp?teJe5`e 7yy8ܝтZe B9PXQ&2c26X/*AѮr15N#m)cpKA.)TBѠUO `9PlϜ&JL0D=Uy״E~]j( yJ|=tz.# PdY:0("^b<:䧜7B@/61xpFA(!~ k{Hlm4$ AI=|+agYI,;$zKs!乳\@2B!* @gba( rX$(i ɀTZCuKp}7`~ckS=pyu+ߥS yM;:Cxy*񞚯u˾9$frw"$s{iOcu,wTA(vE/]k5V')k{ ᥰKh}u8,>1ygyV46 Qu-L}@a Z^>dW| LEH]HzKLȊqw$GR`~+^\7;ygȔ@@$_ٻm1#rȌ6R8]d)}`Ʒ̷"Qǜ1}Sϓm\h5\"tP?a$&9#PMiSzKI)_@O`x77w\N @%S795/0%Y!tq/ H8!QY:C'zOsb&߽R6\ zmGK G%$IG,am Z[#zdVjpƗr2)ŸRɝlXQ O(RSE7_\9\9'Wby!N9"疕ԍ#:YC߅@[;fhȬo9}_Wcr*uq3Eǻ.G# uN5 ot#wc|FZ{_̪G?urCEj+\8 Fg:dyɶˌ0iTy(A{dMη{'},a8&.n*3}mCdg1C! Y7?V{>'q68$m] 4900Eyᕡ#:97gN.!9C&;v&,gnӅǡj.pWRcS93U=+E'D Z5+WY}?9|qwG  Up- ݌>18p;kRs(,q;N򡢲N1KXvci'%\| =x|do.wp7 yCY# {qAW_Ѻ,o)Smn/{qx(rNM6զ(u<kA׵y4 ݬy.< X0ʢq^u>t;Ʊ )ߏ{3cZzy%Ul 2ҡ=[]P-V  b>?`':>##2f>쟧D۲'>DگĭZ5屷2(ў@Lԙ:¸#/?\oE[VXY ,X:i= oaw~r]!*WZ/Xš^[? PD|V)ZLc2Y%>ܳҿճ(؄8MM[?Ü_'^-ҹt$sa2ԵyZIZ=c:m 3FLyOXo6$n9q'gh~͚,'ߤ#k01z"yEXc_ixi=XEX"}thl[;^i|~p!Ӭ'a?)YLTJŏ5 +"*^2ϯ ΟCؙ?)U d{Z?)4oY')>h2+w!Z}$Rsp O n]n!Sw>Ӭa`𲵦ڴ< ԬM-/ytzzjKB@, XW$; I~hh j""MɿR07rw|;:< * m $xMGW&R % B?E:*ov+&XoFDDVE ӕ /r(340Kh6G6f@n}.1=uP\X3׃BƵUﱏ)|Yk3Rx)0=gNz s߭h" | N|_u<׉Rr8VxtsFh5AzC֐TsY(d 4|lwE0cQn}f}DgVE`SxrD~Du@擡Xf[ʆt` Fd@kzlz&+Pϙ}Z4oU ij FvzQCrP![+ |g.O"0M[E/:g[qg4W/z6O!$BYG]%d_ݥ 0,s546k*GdB$ u_r$~Cnc1u-4s"B6p PUZZ|ccE$3"[ycl8ra b̎FS}d3ASE@y>I6> -ҥV;8zDg9:]lZ@:/ Auŧ@t ~A糘 ;l79NnLndo)w Azf,k zC*U"RHY +)ŷ"/c!ϯ 9>R|Z j~Kx \`Q`'jNtH@_]+0}[[hrf&ʹht>[cƦ(UIٺ 9 ZF~ΠI{;ޯ"nՅܟ_ܺo4MFR0zQœziWx,#0]eGJ庨EFk2Am_Je㟮,?ٜhD X>:Q=#+Cvtĩ_إ1t3:\UeWJl4AKfd܊ɘm)ń6?wЬ *8rW,j}RNҏC*Xv['A/+ /Xy]ڔ{90R:u҆0uv<SJ#VV%k%(;G7|IƚjKDV:TvM晼LcUHI#ct5Ps iFnbisx3/koc& [ ,mMfD~D3R~7lM5uc|t|(D(HHGfS^/`8jWx]8dV]mx5o@A ֡תotpk豸 sO%55BF;./Mqm|L[ɻ2 tbA(l]jy Ta⍱0eBrAu.b); /d4b֫__u)YnMKcQrɳO8s l7%|%-Zb !-R#?0YR$#N;=EЎ$w~mˁNzǁkg?];WP` aJ9tu?%@NjG%>ҽKa:Ȋ&3,)?FZvڀN"AyνѫV/Ch`6X:& O#b`Zɮ_P\aY@φa-&?t4OYO9`:=+WgUr}kUjgQ/\Z|m~#Υff# s?jD5S^FJJ@քW d}3%(7xQbjWR7xprB~mݰ'"ı%GP:ϭQD f ĨyE[_U'D^]jBs@y2Z_M@O"P;euv7e  #A[U 6䈂+s8 fd6m$Ã.f&<;Ƚ / ç l(0$zntm=&\DBm"Uٍ)sI_ Nb>Ҋ)KS0M(v"ė9rel%R}AY o'Q.p @ M3e7-&HQp4+|k?Mߪ5; x[r<O5h {`{yb]o삿%]  Rxݥ2Ag1UXr3Cn(cv`Z/],^ĔbJ|A}+ES M bWӹꤟFc:)ˆ"ѡ { ֬<ڭ |]\ā`+99p~ D)=XlV㵲ɉ3uK=km.@wdbR-{ =! 7W~O0^?rf܏[ ^o˓!z2?1G;CH>֩"7USn?OL` )2pg'b{&}M[<{v~ޅ%Ń -|ٸ]F!w`mqGMݞe^@ê*)#50z.0ZP"fn]ΞßB}.q$ܬE)4 bǏӯSDPCЦ@j2 b_5?.^HdI7TI71&Ϻ]nB 7whDg?hv2^oӾ@c}TbCC1U6$iB ZK00g `PP=oQ6OAHϗµUw4ѠD{ ௢)UAukf5iQ2#&Ԓ(8ALu.}zt\uQo°~UR wn45bQ=,B  Br[Iu ?&$z vGd%hlNE[2E}݌ܿWA8c >+RBƤS7c;g]m.J܇"}Y)*ݭT9CċMD?jn}Zұ9u-p]c4nJ(?q+$,/rp,fma Cu Q붴h -9}EԬ%Vրo JD6glēdDAgt>gJL¢G~عIq\wג` '8ޖ3ORbG.{{#>9rʋ,Z9@D1!()6l g*5Qvct.4w֜iQ]  0pUQ|bASF/#Lj0)PuB\t6^.c (]pSˮYnf24`on(liL1ľ v8HyCy^u1랊whiDScMk!6c_M{Z׃{0v) OUV"lOF,-p1MQ\.qjaVfQ±^& E̬k*+f-i LM=n!6QL=H wyq 8]\fuXǔNt߰j(h=N>yܨAJ$Gu},a0-%p|"n9AD~ XBk?pyRv`Q2BO'0<1?FV'69(3!BZWBsO醶qb,Ḣap+2u;I#Mw:X&[$控_*zi^gw}t em{FXoJ=XlL/Y H(~Gi̞~xvsF9W+s{it Yj=]s\1pMtL;Ǐ6'oxؖ&)C,xjE$8Ɯ}b o v;z{}gJPꮫc:o W4HOBt  ժ+tWfIWZG۔*)q:e;-%aYF!\2TmZ#}̬~6,ik1rB9 YeGOIL|ƨ-4<miLF7S* \L@Zg7 XgJ!r>t Q#1Y4O:7j`|۲v;qNwd8*R+VHhu49ڡ"Y@0k(~51Z񰍼2H@ PVc̕| 52D@0vuh| #w[,eɤoSr1D3Ei~Y}ດep_wAy;))~N7F_0ᬉOG>c >aPA2\:w1pd#u5cՑkb 2C,mP}l'\,Ѣun?;՛^Y4Z!ޒQ&rx!uy5#BD%ַ؛p Ӿ0s&tӠ[7endstream endobj 271 0 obj <> endobj 272 0 obj <>stream %!PS-AdobeFont-1.1: MTEX 1.1 %%CreationDate: 1993 Jun 26 10:30:36 % Copyright (c) 1992, 1993 The TeXplorators Corporation % Hinting Copyright (c) 1992, 1993 Y&Y, Inc. % MathTime is a trademark of The TeXplorators Corporation 11 dict begin /FontInfo 9 dict dup begin /version (1.1) readonly def /Notice (Copyright (C) 1992, 1993 The TeXplorators Corporation. 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D722zU*իzFH$D"qnnP(j\.Ϸrd2={ldd>x쬯uF۽{N#-(_~‚Vuݣ`߾}/_Fb0t:333C@ Hx<СCxP(th4ڵtuuzA|YYY 555h>WWW  D" VP(4 `0 BFpRŋI,[YYyM322L& 333lv}}=FRL&?!!ƍVѣG!RT6n ðZx@ x< C L&Ӌ/ 0 S(h4ϟTUU%Q{+TvNgtt\.*++kj᚞t0 (JXVV?lڴI*644P(Q<O"梢8,KJJ >cXHbFGG5 ͦRccc6-###..`0 ">|g*P( %%%}}}x<~qqqvvرc˪ W\bSSSǎ|Mh4 Lbp@$N']jPTiiih0 L&H$vvvO,455fff* 2lZҒX,p:.ddd$''~ٜ4'auǿlټjժ7x+bغuGp8鬮6Vũ1K Ll6BfH8;;@RR1Liii7nʺw^FF|qqܹs'`0z˗eee^t|jj NPO?}͛6mzy[^&@ hllF UUUgϞEPZZz9PTT >cǎ""94 J$ p8 hjkkx<aΝϟD R%$$Ǜ7|,joo~@ 裏~wwH$BAtr0 z6-77ᎎLb)//h#jAd2>OPT r***޽ﶵ=~xttϝ Wե%tڈinn:rHKKKmmÇ9Դ b@IIfCCxT(@ nS( m6L`٣.k[Rm޼Mn.{ƍ՝|`0KKK{[lQ(D"199L&[,6V ƍ=L&S B!q8bEoߎѽDb2v655 "H\.ӧ0 3̱~-''X|oܸqٰ{p\zm ~<@ ,t jNLLp8 V=p^D. jttZ~RQ5,vYYYccD" 3JOO ;At|RRRnnAA$T0>stream pdfTeX-1.40.3 application/pdf Generalized profiling estimation for global and adaptive penalized spline smoothing J. Cao; J.O. Ramsay journal Computational Statistics and Data Analysis Crown Copyright © 2008 Published by Elsevier B.V. All rights reserved. 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