%!PS-Adobe-2.0 %%Creator: dvips(k) 5.95a Copyright 2005 Radical Eye Software %%Title: arXiv:0812.0051v1 [stat.ME] 29 Nov 2008 %%Pages: 26 %%PageOrder: Ascend %%BoundingBox: 0 0 612 792 %%DocumentFonts: Helvetica Helvetica-Bold Helvetica-Oblique %%+ Helvetica-BoldOblique Symbol %%DocumentPaperSizes: Letter %%EndComments %DVIPSWebPage: (www.radicaleye.com) %DVIPSCommandLine: dvips -R -P pk -K1 -z ICV1.dvi -o %DVIPSParameters: dpi=600, compressed, comments removed %DVIPSSource: TeX output 2018.11.02:1107 %%BeginProcSet: texc.pro 0 0 /TeXDict 300 dict def TeXDict begin/N{def}def/B{bind def}N/S{exch}N/X{S N}B/A{dup}B/TR{translate}N/isls false N/vsize 11 72 mul N/hsize 8.5 72 mul N/landplus90{false}def/@rigin{isls{[0 landplus90{1 -1}{-1 1}ifelse 0 0 0]concat}if 72 Resolution div 72 VResolution div neg scale isls{ landplus90{VResolution 72 div vsize mul 0 exch}{Resolution -72 div hsize mul 0}ifelse TR}if Resolution VResolution vsize -72 div 1 add mul TR[ matrix currentmatrix{A A round sub abs 0.00001 lt{round}if}forall round exch round exch]setmatrix}N/@landscape{/isls true N}B/@manualfeed{ statusdict/manualfeed true put}B/@copies{/#copies X}B/FMat[1 0 0 -1 0 0] N/FBB[0 0 0 0]N/nn 0 N/IEn 0 N/ctr 0 N/df-tail{/nn 8 dict N nn begin /FontType 3 N/FontMatrix fntrx N/FontBBox FBB N string/base X array /BitMaps X/BuildChar{CharBuilder}N/Encoding IEn N end A{/foo setfont}2 array copy cvx N load 0 nn put/ctr 0 N[}B/sf 0 N/df{/sf 1 N/fntrx FMat N df-tail}B/dfs{div/sf X/fntrx[sf 0 0 sf neg 0 0]N df-tail}B/E{pop nn A definefont setfont}B/Cw{Cd A length 5 sub get}B/Ch{Cd A length 4 sub get }B/Cx{128 Cd A length 3 sub get sub}B/Cy{Cd A length 2 sub get 127 sub} B/Cdx{Cd A length 1 sub get}B/Ci{Cd A type/stringtype ne{ctr get/ctr ctr 1 add N}if}B/id 0 N/rw 0 N/rc 0 N/gp 0 N/cp 0 N/G 0 N/CharBuilder{save 3 1 roll S A/base get 2 index get S/BitMaps get S get/Cd X pop/ctr 0 N Cdx 0 Cx Cy Ch sub Cx Cw add Cy setcachedevice Cw Ch true[1 0 0 -1 -.1 Cx sub Cy .1 sub]/id Ci N/rw Cw 7 add 8 idiv string N/rc 0 N/gp 0 N/cp 0 N{ rc 0 ne{rc 1 sub/rc X rw}{G}ifelse}imagemask restore}B/G{{id gp get/gp gp 1 add N A 18 mod S 18 idiv pl S get exec}loop}B/adv{cp add/cp X}B /chg{rw cp id gp 4 index getinterval putinterval A gp add/gp X adv}B/nd{ /cp 0 N rw exit}B/lsh{rw cp 2 copy get A 0 eq{pop 1}{A 255 eq{pop 254}{ A A add 255 and S 1 and or}ifelse}ifelse put 1 adv}B/rsh{rw cp 2 copy get A 0 eq{pop 128}{A 255 eq{pop 127}{A 2 idiv S 128 and or}ifelse} ifelse put 1 adv}B/clr{rw cp 2 index string putinterval adv}B/set{rw cp fillstr 0 4 index getinterval putinterval adv}B/fillstr 18 string 0 1 17 {2 copy 255 put pop}for N/pl[{adv 1 chg}{adv 1 chg nd}{1 add chg}{1 add chg nd}{adv lsh}{adv lsh nd}{adv rsh}{adv rsh nd}{1 add adv}{/rc X nd}{ 1 add set}{1 add clr}{adv 2 chg}{adv 2 chg nd}{pop nd}]A{bind pop} forall N/D{/cc X A type/stringtype ne{]}if nn/base get cc ctr put nn /BitMaps get S ctr S sf 1 ne{A A length 1 sub A 2 index S get sf div put }if put/ctr ctr 1 add N}B/I{cc 1 add D}B/bop{userdict/bop-hook known{ bop-hook}if/SI save N @rigin 0 0 moveto/V matrix currentmatrix A 1 get A mul exch 0 get A mul add .99 lt{/QV}{/RV}ifelse load def pop pop}N/eop{ SI restore userdict/eop-hook known{eop-hook}if showpage}N/@start{ userdict/start-hook known{start-hook}if pop/VResolution X/Resolution X 1000 div/DVImag X/IEn 256 array N 2 string 0 1 255{IEn S A 360 add 36 4 index cvrs cvn put}for pop 65781.76 div/vsize X 65781.76 div/hsize X}N /p{show}N/RMat[1 0 0 -1 0 0]N/BDot 260 string N/Rx 0 N/Ry 0 N/V{}B/RV/v{ /Ry X/Rx X V}B statusdict begin/product where{pop false[(Display)(NeXT) (LaserWriter 16/600)]{A length product length le{A length product exch 0 exch getinterval eq{pop true exit}if}{pop}ifelse}forall}{false}ifelse end{{gsave TR -.1 .1 TR 1 1 scale Rx Ry false RMat{BDot}imagemask grestore}}{{gsave TR -.1 .1 TR Rx Ry scale 1 1 false RMat{BDot} imagemask grestore}}ifelse B/QV{gsave newpath transform round exch round exch itransform moveto Rx 0 rlineto 0 Ry neg rlineto Rx neg 0 rlineto fill grestore}B/a{moveto}B/delta 0 N/tail{A/delta X 0 rmoveto}B/M{S p delta add tail}B/b{S p tail}B/c{-4 M}B/d{-3 M}B/e{-2 M}B/f{-1 M}B/g{0 M} B/h{1 M}B/i{2 M}B/j{3 M}B/k{4 M}B/w{0 rmoveto}B/l{p -4 w}B/m{p -3 w}B/n{ p -2 w}B/o{p -1 w}B/q{p 1 w}B/r{p 2 w}B/s{p 3 w}B/t{p 4 w}B/x{0 S rmoveto}B/y{3 2 roll p a}B/bos{/SS save N}B/eos{SS restore}B end %%EndProcSet %%BeginProcSet: texnansi.enc 0 0 % @psencodingfile{ % author = "Y&Y, Inc.", % version = "1.1", % date = "1 December 1996", % filename = "texnansi.enc", % email = "help@YandY.com", % address = "45 Walden Street // Concord, MA 01742, USA", % codetable = "ISO/ASCII", % checksum = "xx", % docstring = "Encoding for fonts in Adobe Type 1 format for use with TeX." % } % % The idea is to have all 228 characters normally included in Type 1 text % fonts (plus a few more) available for typesetting. This is effectively % the character set in Adobe Standard Encoding, ISO Latin 1, plus a few more. % % Character code assignments were made as follows: % % (1) The character layout largely matches `ASCII' in the 32 -- 126 range, % except for `circumflex' in 94 and `tilde' in 126, to match `TeX text' % (`asciicircumflex' and `asciitilde' appear in 158 and 142 instead). % % (2) The character layout matches `Windows ANSI' in almost all places, % except for `quoteright' in 39 and `quoteleft' in 96 to match ASCII % (`quotesingle' and `grave' appear in 129 and 18 instead). % % (3) The character layout matches `TeX typewriter' used by CM text fonts % in most places (except for discordant positions such as hungarumlaut % (instead of braceright), dotaccent (instead of underscore) etc. % % (4) Remaining characters are assigned arbitrarily to the `control character' % range (0 -- 31), avoiding 0, 9, 10 and 13 in case we meet dumb software % - similarly one should really avoid 127 and 128 if possible. % In addition, the 8 open slots in Windows ANSI between 128 and 159 are used. % % (5) Y&Y Lucida Bright includes some extra ligatures and such; ff, ffi, ffl, % and `dotlessj,' these are included 11 -- 15, and 17. % % (6) Hyphen appears both at 45 and 173 for compatibility with both ASCII % and Windows ANSI. % % (7) It doesn't really matter where ligatures appear (both real, such as ffi, % and pseudo such as ---) since these should not be accessed directly, only % via ligature information in the TFM file. % % SAMPLE USAGE (in `psfonts.map' file for DVIPS): % % lbr LucidaBright "TeXnANSIEncoding ReEncodeFont" <texnansi.enc <lbr.pfb % % This tells DVIPS that the font called `lbr' in TeX has PostScript % FontName `LucidaBright.' It also asks DVIPS to expand the file `lbr.pfb' % into PFA form, to include the attached `texnansi.enc' encoding vector, % and to then actually reencode the font based on that encoding vector. % % Revised 1996 June 1 by adding second position for `fl' to avoid Acrobat bug. % Revised 1996 June 1 by adding second position for `fraction' for same reason. % Revised 1997 Oct 1 by adding cwm (used in boundary char TFM code) % Revised 1998 Mar 1 by adding Unicode for Euro character % /TeXnANSIEncoding [ /.notdef % 0 /Euro % /Uni20AC 1 /.notdef % 2 /.notdef % 3 /fraction % 4 /dotaccent % 5 /hungarumlaut % 6 /ogonek % 7 /fl % 8 /.notdef % /fraction % 9 not used (see 4), backward compatability only /cwm % 10 not used, except boundary char internally maybe /ff % 11 /fi % 12 /.notdef % /fl % 13 not used (see 8), backward compatability only /ffi % 14 /ffl % 15 /dotlessi % 16 /dotlessj % 17 /grave % 18 /acute % 19 /caron % 20 /breve % 21 /macron % 22 /ring % 23 /cedilla % 24 /germandbls % 25 /ae % 26 /oe % 27 /oslash % 28 /AE % 29 /OE % 30 /Oslash % 31 /space % 32 % /suppress in TeX text /exclam % 33 /quotedbl % 34 % /quotedblright in TeX text /numbersign % 35 /dollar % 36 /percent % 37 /ampersand % 38 /quoteright % 39 % /quotesingle in ANSI /parenleft % 40 /parenright % 41 /asterisk % 42 /plus % 43 /comma % 44 /hyphen % 45 /period % 46 /slash % 47 /zero % 48 /one % 49 /two % 50 /three % 51 /four % 52 /five % 53 /six % 54 /seven % 55 /eight % 56 /nine % 57 /colon % 58 /semicolon % 59 /less % 60 % /exclamdown in Tex text /equal % 61 /greater % 62 % /questiondown in TeX text /question % 63 /at % 64 /A % 65 /B % 66 /C % 67 /D % 68 /E % 69 /F % 70 /G % 71 /H % 72 /I % 73 /J % 74 /K % 75 /L % 76 /M % 77 /N % 78 /O % 79 /P % 80 /Q % 81 /R % 82 /S % 83 /T % 84 /U % 85 /V % 86 /W % 87 /X % 88 /Y % 89 /Z % 90 /bracketleft % 91 /backslash % 92 % /quotedblleft in TeX text /bracketright % 93 /circumflex % 94 % /asciicircum in ASCII /underscore % 95 % /dotaccent in TeX text /quoteleft % 96 % /grave accent in ANSI /a % 97 /b % 98 /c % 99 /d % 100 /e % 101 /f % 102 /g % 103 /h % 104 /i % 105 /j % 106 /k % 107 /l % 108 /m % 109 /n % 110 /o % 111 /p % 112 /q % 113 /r % 114 /s % 115 /t % 116 /u % 117 /v % 118 /w % 119 /x % 120 /y % 121 /z % 122 /braceleft % 123 % /endash in TeX text /bar % 124 % /emdash in TeX test /braceright % 125 % /hungarumlaut in TeX text /tilde % 126 % /asciitilde in ASCII /dieresis % 127 not used (see 168), use higher up instead /Lslash % 128 this position is unfortunate, but now too late to fix /quotesingle % 129 /quotesinglbase % 130 /florin % 131 /quotedblbase % 132 /ellipsis % 133 /dagger % 134 /daggerdbl % 135 /circumflex % 136 /perthousand % 137 /Scaron % 138 /guilsinglleft % 139 /OE % 140 /Zcaron % 141 /asciicircum % 142 /minus % 143 /lslash % 144 /quoteleft % 145 /quoteright % 146 /quotedblleft % 147 /quotedblright % 148 /bullet % 149 /endash % 150 /emdash % 151 /tilde % 152 /trademark % 153 /scaron % 154 /guilsinglright % 155 /oe % 156 /zcaron % 157 /asciitilde % 158 /Ydieresis % 159 /nbspace % 160 % /space (no break space) /exclamdown % 161 /cent % 162 /sterling % 163 /currency % 164 /yen % 165 /brokenbar % 166 /section % 167 /dieresis % 168 /copyright % 169 /ordfeminine % 170 /guillemotleft % 171 /logicalnot % 172 /sfthyphen % 173 % /hyphen (hanging hyphen) /registered % 174 /macron % 175 /degree % 176 /plusminus % 177 /twosuperior % 178 /threesuperior % 179 /acute % 180 /mu % 181 /paragraph % 182 /periodcentered % 183 /cedilla % 184 /onesuperior % 185 /ordmasculine % 186 /guillemotright % 187 /onequarter % 188 /onehalf % 189 /threequarters % 190 /questiondown % 191 /Agrave % 192 /Aacute % 193 /Acircumflex % 194 /Atilde % 195 /Adieresis % 196 /Aring % 197 /AE % 198 /Ccedilla % 199 /Egrave % 200 /Eacute % 201 /Ecircumflex % 202 /Edieresis % 203 /Igrave % 204 /Iacute % 205 /Icircumflex % 206 /Idieresis % 207 /Eth % 208 /Ntilde % 209 /Ograve % 210 /Oacute % 211 /Ocircumflex % 212 /Otilde % 213 /Odieresis % 214 /multiply % 215 % OE in T1 /Oslash % 216 /Ugrave % 217 /Uacute % 218 /Ucircumflex % 219 /Udieresis % 220 /Yacute % 221 /Thorn % 222 /germandbls % 223 /agrave % 224 /aacute % 225 /acircumflex % 226 /atilde % 227 /adieresis % 228 /aring % 229 /ae % 230 /ccedilla % 231 /egrave % 232 /eacute % 233 /ecircumflex % 234 /edieresis % 235 /igrave % 236 /iacute % 237 /icircumflex % 238 /idieresis % 239 /eth % 240 /ntilde % 241 /ograve % 242 /oacute % 243 /ocircumflex % 244 /otilde % 245 /odieresis % 246 /divide % 247 % oe in T1 /oslash % 248 /ugrave % 249 /uacute % 250 /ucircumflex % 251 /udieresis % 252 /yacute % 253 /thorn % 254 /ydieresis % 255 % germandbls in T1 ] def %%EndProcSet %%BeginProcSet: 8r.enc 0 0 % File 8r.enc TeX Base 1 Encoding Revision 2.0 2002-10-30 % % @@psencodingfile@{ % author = "S. Rahtz, P. MacKay, Alan Jeffrey, B. Horn, K. Berry, % W. Schmidt, P. Lehman", % version = "2.0", % date = "30 October 2002", % filename = "8r.enc", % email = "tex-fonts@@tug.org", % docstring = "This is the encoding vector for Type1 and TrueType % fonts to be used with TeX. This file is part of the % PSNFSS bundle, version 9" % @} % % The idea is to have all the characters normally included in Type 1 fonts % available for typesetting. This is effectively the characters in Adobe % Standard encoding, ISO Latin 1, Windows ANSI including the euro symbol, % MacRoman, and some extra characters from Lucida. % % Character code assignments were made as follows: % % (1) the Windows ANSI characters are almost all in their Windows ANSI % positions, because some Windows users cannot easily reencode the % fonts, and it makes no difference on other systems. The only Windows % ANSI characters not available are those that make no sense for % typesetting -- rubout (127 decimal), nobreakspace (160), softhyphen % (173). quotesingle and grave are moved just because it's such an % irritation not having them in TeX positions. % % (2) Remaining characters are assigned arbitrarily to the lower part % of the range, avoiding 0, 10 and 13 in case we meet dumb software. % % (3) Y&Y Lucida Bright includes some extra text characters; in the % hopes that other PostScript fonts, perhaps created for public % consumption, will include them, they are included starting at 0x12. % These are /dotlessj /ff /ffi /ffl. % % (4) hyphen appears twice for compatibility with both ASCII and Windows. % % (5) /Euro was assigned to 128, as in Windows ANSI % % (6) Missing characters from MacRoman encoding incorporated as follows: % % PostScript MacRoman TeXBase1 % -------------- -------------- -------------- % /notequal 173 0x16 % /infinity 176 0x17 % /lessequal 178 0x18 % /greaterequal 179 0x19 % /partialdiff 182 0x1A % /summation 183 0x1B % /product 184 0x1C % /pi 185 0x1D % /integral 186 0x81 % /Omega 189 0x8D % /radical 195 0x8E % /approxequal 197 0x8F % /Delta 198 0x9D % /lozenge 215 0x9E % /TeXBase1Encoding [ % 0x00 /.notdef /dotaccent /fi /fl /fraction /hungarumlaut /Lslash /lslash /ogonek /ring /.notdef /breve /minus /.notdef /Zcaron /zcaron % 0x10 /caron /dotlessi /dotlessj /ff /ffi /ffl /notequal /infinity /lessequal /greaterequal /partialdiff /summation /product /pi /grave /quotesingle % 0x20 /space /exclam /quotedbl /numbersign /dollar /percent /ampersand /quoteright /parenleft /parenright /asterisk /plus /comma /hyphen /period /slash % 0x30 /zero /one /two /three /four /five /six /seven /eight /nine /colon /semicolon /less /equal /greater /question % 0x40 /at /A /B /C /D /E /F /G /H /I /J /K /L /M /N /O % 0x50 /P /Q /R /S /T /U /V /W /X /Y /Z /bracketleft /backslash /bracketright /asciicircum /underscore % 0x60 /quoteleft /a /b /c /d /e /f /g /h /i /j /k /l /m /n /o % 0x70 /p /q /r /s /t /u /v /w /x /y /z /braceleft /bar /braceright /asciitilde /.notdef % 0x80 /Euro /integral /quotesinglbase /florin /quotedblbase /ellipsis /dagger /daggerdbl /circumflex /perthousand /Scaron /guilsinglleft /OE /Omega /radical /approxequal % 0x90 /.notdef /.notdef /.notdef /quotedblleft /quotedblright /bullet /endash /emdash /tilde /trademark /scaron /guilsinglright /oe /Delta /lozenge /Ydieresis % 0xA0 /.notdef /exclamdown /cent /sterling /currency /yen /brokenbar /section /dieresis /copyright /ordfeminine /guillemotleft /logicalnot /hyphen /registered /macron % 0xD0 /degree /plusminus /twosuperior /threesuperior /acute /mu /paragraph /periodcentered /cedilla /onesuperior /ordmasculine /guillemotright /onequarter /onehalf /threequarters /questiondown % 0xC0 /Agrave /Aacute /Acircumflex /Atilde /Adieresis /Aring /AE /Ccedilla /Egrave /Eacute /Ecircumflex /Edieresis /Igrave /Iacute /Icircumflex /Idieresis % 0xD0 /Eth /Ntilde /Ograve /Oacute /Ocircumflex /Otilde /Odieresis /multiply /Oslash /Ugrave /Uacute /Ucircumflex /Udieresis /Yacute /Thorn /germandbls % 0xE0 /agrave /aacute /acircumflex /atilde /adieresis /aring /ae /ccedilla /egrave /eacute /ecircumflex /edieresis /igrave /iacute /icircumflex /idieresis % 0xF0 /eth /ntilde /ograve /oacute /ocircumflex /otilde /odieresis /divide /oslash /ugrave /uacute /ucircumflex /udieresis /yacute /thorn /ydieresis ] def %%EndProcSet %%BeginProcSet: special.pro 0 0 TeXDict begin/SDict 200 dict N SDict begin/@SpecialDefaults{/hs 612 N /vs 792 N/ho 0 N/vo 0 N/hsc 1 N/vsc 1 N/ang 0 N/CLIP 0 N/rwiSeen false N /rhiSeen false N/letter{}N/note{}N/a4{}N/legal{}N}B/@scaleunit 100 N /@hscale{@scaleunit div/hsc X}B/@vscale{@scaleunit div/vsc X}B/@hsize{ /hs X/CLIP 1 N}B/@vsize{/vs X/CLIP 1 N}B/@clip{/CLIP 2 N}B/@hoffset{/ho X}B/@voffset{/vo X}B/@angle{/ang X}B/@rwi{10 div/rwi X/rwiSeen true N}B /@rhi{10 div/rhi X/rhiSeen true N}B/@llx{/llx X}B/@lly{/lly X}B/@urx{ /urx X}B/@ury{/ury X}B/magscale true def end/@MacSetUp{userdict/md known {userdict/md get type/dicttype eq{userdict begin md length 10 add md maxlength ge{/md md dup length 20 add dict copy def}if end md begin /letter{}N/note{}N/legal{}N/od{txpose 1 0 mtx defaultmatrix dtransform S atan/pa X newpath clippath mark{transform{itransform moveto}}{transform{ itransform lineto}}{6 -2 roll transform 6 -2 roll transform 6 -2 roll transform{itransform 6 2 roll itransform 6 2 roll itransform 6 2 roll curveto}}{{closepath}}pathforall newpath counttomark array astore/gc xdf pop ct 39 0 put 10 fz 0 fs 2 F/|______Courier fnt invertflag{PaintBlack} if}N/txpose{pxs pys scale ppr aload pop por{noflips{pop S neg S TR pop 1 -1 scale}if xflip yflip and{pop S neg S TR 180 rotate 1 -1 scale ppr 3 get ppr 1 get neg sub neg ppr 2 get ppr 0 get neg sub neg TR}if xflip yflip not and{pop S neg S TR pop 180 rotate ppr 3 get ppr 1 get neg sub neg 0 TR}if yflip xflip not and{ppr 1 get neg ppr 0 get neg TR}if}{ noflips{TR pop pop 270 rotate 1 -1 scale}if xflip yflip and{TR pop pop 90 rotate 1 -1 scale ppr 3 get ppr 1 get neg sub neg ppr 2 get ppr 0 get neg sub neg TR}if xflip yflip not and{TR pop pop 90 rotate ppr 3 get ppr 1 get neg sub neg 0 TR}if yflip xflip not and{TR pop pop 270 rotate ppr 2 get ppr 0 get neg sub neg 0 S TR}if}ifelse scaleby96{ppr aload pop 4 -1 roll add 2 div 3 1 roll add 2 div 2 copy TR .96 dup scale neg S neg S TR}if}N/cp{pop pop showpage pm restore}N end}if}if}N/normalscale{ Resolution 72 div VResolution 72 div neg scale magscale{DVImag dup scale }if 0 setgray}N/psfts{S 65781.76 div N}N/startTexFig{/psf$SavedState save N userdict maxlength dict begin/magscale true def normalscale currentpoint TR/psf$ury psfts/psf$urx psfts/psf$lly psfts/psf$llx psfts /psf$y psfts/psf$x psfts currentpoint/psf$cy X/psf$cx X/psf$sx psf$x psf$urx psf$llx sub div N/psf$sy psf$y psf$ury psf$lly sub div N psf$sx psf$sy scale psf$cx psf$sx div psf$llx sub psf$cy psf$sy div psf$ury sub TR/showpage{}N/erasepage{}N/setpagedevice{pop}N/copypage{}N/p 3 def @MacSetUp}N/doclip{psf$llx psf$lly psf$urx psf$ury currentpoint 6 2 roll newpath 4 copy 4 2 roll moveto 6 -1 roll S lineto S lineto S lineto closepath clip newpath moveto}N/endTexFig{end psf$SavedState restore}N /@beginspecial{SDict begin/SpecialSave save N gsave normalscale currentpoint TR @SpecialDefaults count/ocount X/dcount countdictstack N} N/@setspecial{CLIP 1 eq{newpath 0 0 moveto hs 0 rlineto 0 vs rlineto hs neg 0 rlineto closepath clip}if ho vo TR hsc vsc scale ang rotate rwiSeen{rwi urx llx sub div rhiSeen{rhi ury lly sub div}{dup}ifelse scale llx neg lly neg TR}{rhiSeen{rhi ury lly sub div dup scale llx neg lly neg TR}if}ifelse CLIP 2 eq{newpath llx lly moveto urx lly lineto urx ury lineto llx ury lineto closepath clip}if/showpage{}N/erasepage{}N /setpagedevice{pop}N/copypage{}N newpath}N/@endspecial{count ocount sub{ pop}repeat countdictstack dcount sub{end}repeat grestore SpecialSave restore end}N/@defspecial{SDict begin}N/@fedspecial{end}B/li{lineto}B /rl{rlineto}B/rc{rcurveto}B/np{/SaveX currentpoint/SaveY X N 1 setlinecap newpath}N/st{stroke SaveX SaveY moveto}N/fil{fill SaveX SaveY moveto}N/ellipse{/endangle X/startangle X/yrad X/xrad X/savematrix matrix currentmatrix N TR xrad yrad scale 0 0 1 startangle endangle arc savematrix setmatrix}N end %%EndProcSet %%BeginProcSet: hps.pro 0 0 /HPSdict 20 dict dup begin/braindeaddistill 50 def/rfch{dup length 1 sub 1 exch getinterval}bind def/splituri{dup(#)search{exch pop}{()exch} ifelse dup(file:)anchorsearch{pop exch pop 3 -1 roll pop false}{pop 3 -1 roll exch pop true}ifelse}bind def/lookuptarget{exch rfch dup /TargetAnchors where{pop TargetAnchors dup 3 -1 roll known{exch get true }{pop(target unknown:)print == false}ifelse}{pop pop (target dictionary unknown\012)print false}ifelse}bind def/savecount 0 def/stackstopped{count counttomark sub/savecount exch store stopped count savecount sub 1 sub dup 0 gt{{exch pop}repeat}{pop}ifelse}bind def /tempstring 256 string def/targetvalidate{1 index dup length 255 gt exch dup(/)search{pop pop pop exch pop true exch}{pop}ifelse cvn tempstring cvs token pop pop length 0 ne or not}bind def/targetdump-hook where{pop} {/targetdump-hook{dup mark exch gsave initmat setmatrix{{mark/Dest 4 2 roll targetvalidate{aload pop exch pop/Page 3 1 roll/View exch[exch /FitH exch]/DEST pdfmark}{cleartomark}ifelse}forall}stackstopped pop grestore}bind def}ifelse/baseurl{mark exch 1 dict dup 3 -1 roll/Base exch put/URI exch/DOCVIEW{pdfmark}stackstopped pop}bind def /externalhack systemdict/PDF known def/oldstyle true def/initmat matrix currentmatrix def/actiondict 2 dict dup/Subtype/URI put def /weblinkhandler{dup 3 1 roll mark 4 1 roll/Title 4 1 roll splituri 3 -1 roll dup length 0 gt{cvn/Dest exch 4 2 roll}{pop}ifelse{externalhack{ /HTTPFile exch}{actiondict dup 3 -1 roll/URI exch put/Action exch} ifelse}{externalhack{/HTTPFile exch}{/File exch/Action/GoToR}ifelse} 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Fo(8)1299 1225 y Fj(\022)1388 1298 y Fk(C)1458 1313 y Fn(\013)p 1382 1342 131 4 v 1382 1434 a Fk(D)1463 1449 y Fn(\013)1523 1225 y Fj(\023)1596 1247 y Fo(5)p Fn(=)p Fo(4)1722 1225 y Fj(\024)1785 1298 y Fk(R)q Fm(\()p Fk(f)11 b Fm(\))p Fk(R)q Fm(\()p Fk(f)2167 1262 y Fp(00)2209 1298 y Fm(\))2247 1262 y Fo(13)p Fn(=)p Fo(5)p 1785 1342 608 4 v 1933 1434 a Fk(R)q Fm(\()p Fk(f)2105 1405 y Fp(000)2167 1434 y Fm(\))2205 1405 y Fo(2)2402 1225 y Fj(\025)2455 1238 y Fo(5)p Fn(=)p Fo(8)2581 1365 y Fk(:)807 b Fm(\(8\))0 1664 y(The)34 b(corresp)s(onding)e(asymptotically)e(optimal)g(mean)i (squared)i(error)f(is)795 1962 y SDict begin H.S end 795 1962 a 795 1962 a SDict begin 23.92491 H.A end 795 1962 a 795 1962 a SDict begin [/View [/XYZ H.V]/Dest (equation.3.9) cvn /DEST pdfmark end 795 1962 a Fk(M)10 b(S)c(E)1037 1977 y Fn(n;opt)1227 1962 y Fm(=)27 b Fk(n)1388 1921 y Fp(\000)p Fo(1)p Fn(=)p Fo(2)1553 1962 y Fk(C)1623 1977 y Fn(\013)1673 1962 y Fk(D)1754 1977 y Fn(\013)1820 1821 y Fj(\024)1882 1894 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Fm(,)43 b(w)m(e)f(ma)m(y)f(determine)g(a)g(single)0 3055 y(optimal)30 b(v)-5 b(alue)33 b(of)g Fk(\013)h Fm(that)f(is)g (indep)s(enden)m(t)i(of)e Fk(f)11 b Fm(.)45 b(The)34 b(function)f Fk(C)2581 3070 y Fn(\013)2631 3055 y Fk(D)2712 3070 y Fn(\013)2794 3055 y Fm(of)g Fk(\013)h Fm(is)f(minimized)0 3253 y(at)c Fk(\013)178 3268 y Fo(0)245 3253 y Fm(=)e(2)p Fk(:)p Fm(4233.)42 b(F)-8 b(urthermore,)29 b(small)d(c)m(hoices)k(of)f Fk(\013)g Fm(lead)g(to)f(an)h(arbitrarily)e(large)g(increase)0 3452 y(in)36 b(mean)g(squared)i(error,)f(while)f(the)h(MSE)g(at)f Fk(\013)f Fm(=)f Fi(1)j Fm(is)f(only)g(ab)s(out)g(1.33)f(times)h(that)g (at)0 3650 y(the)d(minim)m(um.)146 3849 y(Our)47 b(theory)g(to)f(this)g (p)s(oin)m(t)f(applies)h(to)g(k)m(ernels)h(in)f Fi(L)2295 3864 y Fo(3)2334 3849 y Fm(,)k(i.e.,)f(k)m(ernels)f(with)e(negativ)m(e) 0 4048 y(tails.)249 4073 y SDict begin H.S end 249 4073 a -25 x Fm(Sa)m(v)m(c)m(h)m(uk)36 b(\(2009\))900 3973 y SDict begin H.R end 900 3973 a 900 4048 a SDict begin 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y(errors)45 b(is)f(0)p Fk(:)p Fm(752,)j(with)d Fk(\033)52 b Fi(!)c(1)c Fm(yielding)e(the)j(smaller)e(error.)79 b(Our)45 b(sim)m(ulation)c(studies)0 5240 y(con\014rm)j(that)g(using)h Fk(L)f Fm(with)h(large)e Fk(\033)48 b Fm(do)s(es)d(lead)f(to)g(more)g (accurate)h(estimation)e(of)h(the)0 5438 y(optimal)30 b(bandwidth.)1721 5712 y(10)p eop end end %%Page: 11 11 TeXDict begin HPSdict begin 11 10 bop 0 0 a SDict begin /product where{pop product(Distiller)search{pop pop pop version(.)search{exch pop exch pop(3011)eq{gsave newpath 0 0 moveto closepath clip/Courier findfont 10 scalefont setfont 72 72 moveto(.)show grestore}if}{pop}ifelse}{pop}ifelse}if end 0 0 a -8 -8 a SDict begin H.S end -8 -8 a -8 -8 a SDict begin H.R end -8 -8 a -8 -8 a SDict begin [/View [/XYZ H.V]/Dest (page.11) cvn /DEST pdfmark end -8 -8 a 0 307 a SDict begin H.S end 0 307 a 0 307 a SDict begin 23.92491 H.A end 0 307 a 0 307 a SDict begin [/View [/XYZ H.V]/Dest (section.4) cvn /DEST pdfmark end 0 307 a 100 x Fl(4)161 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2067 a 1623 2131 a SDict begin [/Color [1 0 0]/H /I/Border [0 0 1]BorderArrayPatch/BS <</S/S/W 1>>/Subtype /Link/Dest (equation.4.10) cvn H.B /ANN pdfmark end 1623 2131 a Fm(\),)i(w)m(e)h(ha)m(v)m(e) 876 2414 y SDict begin H.S end 876 2414 a 876 2414 a SDict begin 23.92491 H.A end 876 2414 a 876 2414 a SDict begin [/View [/XYZ H.V]/Dest (equation.10.14) cvn /DEST pdfmark end 876 2414 a Fk(\014)931 2429 y Fn(n)1061 2414 y Fm(=)83 b Fi(\000)1307 2346 y Fk(n)1365 2310 y Fo(2)p 1307 2391 98 4 v 1307 2482 a Fm(12)1415 2414 y Fk(b)1456 2372 y Fo(5)1456 2438 y(0)1496 2414 y Fk(\026)1555 2429 y Fo(4)p Fn(\015)1635 2414 y Fk(R)q Fm(\()p Fk(f)1807 2372 y Fp(00)1849 2414 y Fm(\))22 b(+)2041 2346 y Fk(n)2099 2310 y Fo(2)p 2017 2391 147 4 v 2017 2482 a Fm(240)2173 2414 y Fk(b)2214 2372 y Fo(7)2214 2438 y(0)2254 2414 y Fk(\026)2313 2429 y Fo(6)p Fn(\015)2392 2414 y Fk(R)q Fm(\()p Fk(f)2564 2372 y Fp(000)2626 2414 y Fm(\))1220 2662 y(+)1306 2594 y Fk(n)1364 2558 y Fo(2)p 1306 2639 98 4 v 1331 2730 a 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Fk(M)k(I)e(S)e(E)2386 3459 y Fp(00)2380 3520 y Fn(L)2432 3493 y Fm(\()p Fk(b)2511 3508 y Fo(0)2551 3493 y Fm(\))2603 3284 y Fj(\025)2672 3425 y Fk(:)668 b Fm(\(15\))0 3707 y(Using)33 b(a)f(second)j(order)e (appro)m(ximation)e(to)h Fk(M)10 b(I)e(S)e(E)1996 3671 y Fp(0)1990 3732 y Fn(L)2043 3707 y Fm(\()p Fk(b)p Fm(\))34 b(and)f(a)f(\014rst)i(order)f(appro)m(ximation)0 3905 y(to)f Fk(M)10 b(I)e(S)e(E)418 3869 y Fp(00)412 3931 y Fn(L)465 3905 y Fm(\()p Fk(b)p Fm(\),)33 b(w)m(e)h(then)f(ha)m(v)m(e) 1002 4188 y Fk(b)1043 4146 y Fo(5)1043 4212 y Fn(n)1118 4188 y Fm(=)28 b Fk(b)1263 4146 y Fo(5)1263 4212 y(0)1325 4188 y Fi(\000)22 b Fk(b)1465 4146 y Fo(7)1465 4212 y(0)1515 4120 y Fk(\026)1574 4135 y Fo(2)p Fn(L)1661 4120 y Fk(\026)1720 4135 y Fo(4)p Fn(L)1807 4120 y Fk(R)q Fm(\()p Fk(f)1979 4084 y Fp(000)2041 4120 y Fm(\))p 1515 4165 564 4 v 1573 4256 a(4)p Fk(\026)1681 4222 y Fo(2)1681 4283 y(2)p Fn(L)1768 4256 y Fk(R)q Fm(\()p Fk(f)1940 4227 y Fp(00)1982 4256 y Fm(\))2111 4188 y(+)g Fk(o)p 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4632 y Fo(7)2512 4693 y(0)2552 4668 y Fk(\033)2611 4632 y Fo(6)2651 4668 y Fm(\).)51 b(Later)35 b(in)f(the)i(pro)s(of)0 4867 y(w)m(e)e(will)e (see)i(that)f(this)g(last)g(result)g(implies)e(that)i(the)h(\014rst)g (order)f(bias)g(of)2834 4841 y(^)2833 4867 y Fk(h)2889 4882 y Fn(I)5 b(C)g(V)3074 4867 y Fm(is)33 b(due)h(only)0 5066 y(to)e(the)h(di\013erence)g Fk(C)7 b(b)841 5081 y Fo(0)903 5066 y Fi(\000)23 b Fk(h)1059 5081 y Fo(0)1099 5066 y Fm(.)146 5264 y(T)-8 b(edious)37 b(but)g(straigh)m(tforw)m(ard)e (calculations)g(sho)m(w)i(that)f Fk(s)2425 5228 y Fo(2)2425 5289 y Fn(n)2506 5264 y Fi(\030)f Fk(n)2676 5228 y Fo(2)2716 5264 y Fk(b)2757 5279 y Fo(0)2797 5264 y Fk(R)q Fm(\()p Fk(f)11 b Fm(\))p Fk(A)3080 5279 y Fn(\013)3129 5264 y Fk(=)p Fm(2,)37 b(where)0 5463 y Fk(A)73 5478 y Fn(\013)155 5463 y Fm(is)32 b(as)h(de\014ned)h(in)e(Section)1165 5463 y SDict begin H.S end 1165 5463 a Fm(3.1)1290 5399 y SDict begin H.R end 1290 5399 a 1290 5463 a SDict begin [/Color [1 0 0]/H /I/Border [0 0 1]BorderArrayPatch/BS <</S/S/W 1>>/Subtype /Link/Dest (subsection.3.1) cvn H.B /ANN pdfmark end 1290 5463 a Fm(.)43 b(It)33 b(is)f(w)m(orth)h(noting)f(that)h Fk(A)2432 5478 y Fn(\013)2509 5463 y Fm(=)28 b Fk(R)q Fm(\()p Fk(\032)2776 5478 y Fn(\013)2825 5463 y Fm(\),)33 b(where)h Fk(\032)3255 5478 y Fn(\013)3305 5463 y Fm(\()p Fk(u)p Fm(\))27 b(=)1721 5712 y(21)p eop end end %%Page: 22 22 TeXDict begin HPSdict begin 22 21 bop 0 0 a SDict begin /product where{pop product(Distiller)search{pop pop pop version(.)search{exch pop exch pop(3011)eq{gsave newpath 0 0 moveto closepath clip/Courier findfont 10 scalefont setfont 72 72 moveto(.)show grestore}if}{pop}ifelse}{pop}ifelse}if end 0 0 a -8 -8 a SDict begin H.S end -8 -8 a -8 -8 a SDict begin H.R end -8 -8 a -8 -8 a SDict begin [/View [/XYZ H.V]/Dest (page.22) cvn /DEST pdfmark end -8 -8 a 0 407 a Fk(u\015)112 371 y Fp(0)107 431 y Fn(\013)156 407 y Fm(\()p Fk(u)p Fm(\))35 b(and)h Fk(\015)567 422 y Fn(\013)616 407 y Fm(\()p Fk(u)p 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