{VERSION 6 0 "IBM INTEL NT" "6.0" } {USTYLETAB {CSTYLE "Maple Input" -1 0 "Courier" 0 1 255 0 0 1 0 1 0 0 1 0 0 0 0 1 }{CSTYLE "2D Math" -1 2 "Times" 0 1 0 0 0 0 0 0 2 0 0 0 0 0 0 1 }{CSTYLE "2D Output" 2 20 "" 0 1 0 0 255 1 0 0 0 0 0 0 0 0 0 1 } {PSTYLE "Normal" -1 0 1 {CSTYLE "" -1 -1 "Times" 1 12 0 0 0 1 2 2 2 2 2 2 1 1 1 1 }1 1 0 0 0 0 1 0 1 0 2 2 0 1 }{PSTYLE "Warning" -1 7 1 {CSTYLE "" -1 -1 "Courier" 1 10 0 0 255 1 2 2 2 2 2 1 1 1 3 1 }1 1 0 0 0 0 1 0 1 0 2 2 0 1 }{PSTYLE "Maple Output" -1 11 1 {CSTYLE "" -1 -1 "Times" 1 12 0 0 0 1 2 2 2 2 2 2 1 1 1 1 }3 3 0 0 0 0 1 0 1 0 2 2 0 1 }{PSTYLE "Maple Output" -1 12 1 {CSTYLE "" -1 -1 "Times" 1 12 0 0 0 1 2 2 2 2 2 2 1 1 1 1 }1 3 0 0 0 0 1 0 1 0 2 2 0 1 }{PSTYLE "Maple P lot" -1 13 1 {CSTYLE "" -1 -1 "Times" 1 12 0 0 0 1 2 2 2 2 2 2 1 1 1 1 }3 1 0 0 0 0 1 0 1 0 2 2 0 1 }} {SECT 0 {EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 68 "# Must include funct ion library: open and compile library.mws first." }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 47 "# Zero mean ARCH(p) \n# Generate observed dat a y" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 9 "t := 't':" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 9 "T := 100:" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 12 "BurnIn := T:" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 13 "T0 := BurnIn:" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 15 "a := [0.1,0.6]:" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 13 " p := nops(a):" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 35 "errors := \+ GenerateErrors(T+BurnIn):" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 17 "alpha := 'alpha':" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 32 "y \+ := ARCH2(T+BurnIn,p,a,errors):" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 31 "plot_series(BurnIn,T+BurnIn,y);" }}{PARA 13 "" 1 "" {GLPLOT2D 385 185 185 {PLOTDATA 2 "6%-%'CURVESG6#7`q7$$\"\"\"\"\"!$!+ihV,5!#57$$ \"\"#F*$!+i]lbBF-7$$\"\"$F*$!+([L&[gF-7$$\"\"%F*$\"+pNN%R$F-7$$\"\"&F* $\"+],+xTF-7$$\"\"'F*$\"+'o%)4.\"F-7$$\"\"(F*$\"+?S'pC#F-7$$\"\")F*$\" 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F*$\"+A(\\6F$F-7$$\"#jF*$!+XA2nIF-7$$\"#kF*$!+3-\"ev#F-7$$\"#lF*$!+?_# pZ(F-7$$\"#mF*$\"+HUp!*oF-7$$\"#nF*$!+PaBdBF-7$$\"#oF*$!+2<\"oD\"F-7$$ \"#pF*$\"+S#>&\\PFjn7$$\"#qF*$\"+8HZ4@F-7$$\"#rF*$!+()y,?9F-7$$\"#sF*$ !+=+$**p(F-7$$\"#tF*$\"+-&\\\"\\aF-7$$\"#uF*$!+[A=htFjn7$$\"#vF*$!+Zm* zr#F-7$$\"#wF*$\"+Uw\"*=^F-7$$\"#xF*$\"+\"oc*4vF-7$$\"#yF*$\"+:Xz2pF-7 $$\"#zF*$!+)oX[:'F-7$$\"#!)F*$!+?$Qs;$F-7$$\"#\")F*$\"+$z^\"36!#77$$\" ##)F*$\"+\\+BLCF-7$$\"#$)F*$\"+L%30O$F-7$$\"#%)F*$!+=@//FF-7$$\"#&)F*$ !+JyA=>F-7$$\"#')F*$\"+9Zp(f#F-7$$\"#()F*$\"+17TogF-7$$\"#))F*$!+?U;dk F-7$$\"#*)F*$\"+XVZ/8F_z7$$\"#!*F*$!+H/'Ry\"F_z7$$\"#\"*F*$\"+>;\"3j#F _z7$$\"##*F*$!+[vC4?F_z7$$\"#$*F*$\"+D`tP;F-7$$\"#%*F*$!+<_EU>F-7$$\"# &*F*$!+b=N:OFjn7$$\"#'*F*$\"+?(Q:*QF-7$$\"#(*F*$!+=L24\")Fjn7$$\"#)*F* $!+zujZ]F-7$$\"#**F*$\"+$QKP'**Fjdl7$$\"$+\"F*$\"+3=hsTF--%&STYLEG6#%% LINEG-%'COLOURG6&%$RGBGF*F*F*" 1 6 0 1 10 0 2 6 1 4 2 1.000000 45.000000 45.000000 0 0 "Curve 1" }}}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 31 "currentdir(\"C:\\\\ARCH\\\\test\\\\\"):" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 27 "#ExportARCH(\"test.dat\", y):" }}} {EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 14 "#currentdir();" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 28 "#y := ImportARCH(\"joe.dat\"):" }}} {EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 14 "#T := nops(y);" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 45 "#generateData(5,40,2,[0.5,0.5]): #N ,T,p,alpha" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 48 "#plot_series( T,ARCH(T,nops(op(2,arch4)),arch4));" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 44 "#MSPE(T,y,2,[0.1,0.95]);\n#VarCov(T,y,arch2);" }}} {EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 13 "T0 := BurnIn:" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 281 "arch1 := ARCH_score(T0,T,y,[0.5],5 );\narch2 := ARCH_score(T0,T,y,[0.5,0.5],5);\narch3 := ARCH_score(T0,T ,y,[0.5,0.5,0.5],5);\narch4 := ARCH_score(T0,T,y,[0.5,0.5,0.5,0.5],5); \narch5 := ARCH_score(T0,T,y,[0.5,0.5,0.5,0.5,0.5],5);\narch6 := ARCH_ score(T0,T,y,[0.5,0.5,0.5,0.5,0.5,0.5],3);" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%&arch1G-%'RTABLEG6%\"*SgMx\"-%'MATRIXG6#7#7#$\"3s5U;$ R-i7#!#=&%'VectorG6#%'columnG" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%&ar ch2G-%'RTABLEG6%\"*ci]y\"-%'MATRIXG6#7$7#$\"3s]G=9iH+**!#>7#$\"3Zm?U2k `4n!#=&%'VectorG6#%'columnG" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%&arch 3G-%'RTABLEG6%\"*gw9y\"-%'MATRIXG6#7%7#$\"3WpcsQ&**f.\"!#=7#$\"3Ys;+\\ 61'G(F07#\"\"!&%'VectorG6#%'columnG" }}{PARA 11 "" 1 "" {XPPMATH 20 "6 #>%&arch4G-%'RTABLEG6%\"*/y8y\"-%'MATRIXG6#7&7#$\"3qDS05Dbm6!#=7#$\"3s lu\"4m[Pv'F07#\"\"!F4&%'VectorG6#%'columnG" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%&arch5G-%'RTABLEG6%\"*C06z\"-%'MATRIXG6#7'7#$\"3'oQXi `927\"!#=7#$\"3#=*f*f)eF%*oF07#\"\"!F47#$\"3i3/b@yz&R\"!#>&%'VectorG6# %'columnG" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%&arch6G-%'RTABLEG6%\"*S kiA#-%'MATRIXG6#7(7#$\"3$G#\\2Qh5C7!#=7#$\"3U*Q!ek&4xQ'F07#\"\"!F47#$ \"3OOK!**3\\)HU!#>F4&%'VectorG6#%'columnG" }}}{EXCHG {PARA 0 "> " 0 " " {MPLTEXT 1 0 432 "arch7 := ARCH_score(T0,T,y,[0.5,0.5,0.5,0.5,0.5,0. 5,0.5],5);\narch8 := ARCH_score(T0,T,y,[0.5,0.5,0.5,0.5,0.5,0.5,0.5,0. 5],5);\n#arch9 := ARCH_score(T0,T,y,[0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0 .5],5):\n#arch10 := ARCH_score(T0,T,y,[0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5 ,0.5,0.5],5):\n#arch11 := ARCH_score(T0,T,y,[0.5,0.5,0.5,0.5,0.5,0.5,0 .5,0.5,0.5,0.5,0.5],5):\n#arch12 := ARCH_score(T0,T,y,[0.5,0.5,0.5,0.5 ,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5],5):" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%&arch7G-%'RTABLEG6%\"*gxVy\"-%'MATRIXG6#7)7#$\"3/OlUbtSB8!#=7#$\" 3!RG!y[o!>7(F07#\"\"!F47#$\"3OWZ1_kHiP!#>F4F4&%'VectorG6#%'columnG" }} {PARA 11 "" 1 "" {XPPMATH 20 "6#>%&arch8G-%'RTABLEG6%\"*3D!z<-%'MATRIX G6#7*7#$\"3]8:%*46rQ:!#=7#$\"3I`^]?)eKW'F07#\"\"!F47#$\"3R**)z9Z?NV%!# >F4F4F4&%'VectorG6#%'columnG" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 0 "" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 0 "" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 101 "#alpha_estimates := [arch1,arch2,arch3,a rch4,arch5,arch6,arch7,arch8,arch9,arch10]: #,arch11,arch12]:" }}} {EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 69 "alpha_estimates := [arch1,ar ch2,arch3,arch4,arch5,arch6,arch7,arch8]:" }}}{EXCHG {PARA 0 "> " 0 " " {MPLTEXT 1 0 32 "#alpha_estimates := array(1..8);" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 29 "#alpha_estimates[2] := arch2;" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 0 "" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 325 "#currentdir(\"C:\\\\ARCH\\\\arch2-200-200\\\\\"):\n# p := 2: T := 200: T0 := T: n := 12: pmax := 8:\n#y := 'y': errors := ' errors':\n#y := ImportArray(cat(\"arch\",p,\"-\",T,\"-\",n,\".dat\")): \n#errors := ImportArray(cat(\"arch\",p,\"-\",T,\"-\",n,\"-errors.dat \")):\n#alpha_estimates := ImportAlphaEstimates(cat(\"arch\",p,\"-\",T ,\"-\",n,\"-estimates.dat\")):\n" }}}{EXCHG {PARA 12 "" 1 "" {TEXT -1 0 "" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 67 "#L(T0,T,y,arch2); L( T0,T,y,convert([.1,.9], Vector)); f(y,[.1,.9]);" }}}{EXCHG {PARA 0 "> \+ " 0 "" {MPLTEXT 1 0 9 "#Envelope" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 17 "#prior*likelihood" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 11 "lamda := 1:" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 0 "" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 0 "" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 464 " h3 := (p,alpha) -> ((1-add(alpha[i], i= 2..p))/max(0.0000000001,alpha[1]) )^(1/2);\n h2 := (p,alpha) -> `if`(p >1,(p-1)!,1):\n h := (p,alpha) -> 1/((.99/p)^p);\nlogf := (y,alpha) -> evalf(-(T/2)*log(2*Pi)-1/2*Sum(log(u(t,alpha)),t=BurnIn+1..T+BurnIn)- (1/2)*Sum(y[t]^2/u(t,alpha),t=BurnIn+1..T+BurnIn)):\nf := (y,alpha) -> evalf(Product((1/(sqrt(2*Pi*u(t,alpha))))*(exp((-y[t]^2)/(2*u(t,alpha )))) , t=BurnIn+1..T+BurnIn));\nu := (t,alpha) -> alpha[1] + alpha[2]* y[t-1]^2;" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%#h3Gf*6$%\"pG%&alphaG6 \"6$%)operatorG%&arrowGF)*$*&,&\"\"\"F0-%$addG6$&9%6#%\"iG/F7;\"\"#9$! \"\"F0-%$maxG6$$F0!#5&F56#F0F<#F0F:F)F)F)" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%\"hGf*6$%\"pG%&alphaG6\"6$%)operatorG%&arrowGF)*&\"\" \"F.)*&$\"#**!\"#F.9$!\"\"F4F5F)F)F)" }}{PARA 11 "" 1 "" {XPPMATH 20 " 6#>%\"fGf*6$%\"yG%&alphaG6\"6$%)operatorG%&arrowGF)-%&evalfG6#-%(Produ ctG6$*&-%%sqrtG6#,$*(\"\"#\"\"\"%#PiGF:-%\"uG6$%\"tG9%F:F:!\"\"-%$expG 6#,$*&#F:F9F:*&&9$6#F?F9F%\"uGf*6$%\"tG%&alphaG6\"6$%) operatorG%&arrowGF),&&9%6#\"\"\"F1*&&F/6#\"\"#F1)&%\"yG6#,&9$F1F1!\"\" F5F1F1F)F)F)" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 52 " h(2,alpha_ estimates[2])*logf(y,alpha_estimates[2]);" }}{PARA 0 "> " 0 "" {MPLTEXT 1 0 61 "l_ml := h(2,alpha_estimates[2])*log(f(y,alpha_estimat es[2]));" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#$!+U!o/G#!\")" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%%l_mlG$!+G!o/G#!\")" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 54 "with(Statistics): with(stats); with(stats[statpl ots]);" }}{PARA 7 "" 1 "" {TEXT -1 116 "Warning, these names have been redefined: anova, describe, fit, importdata, random, statevalf, statp lots, transform\n" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#7*%&anovaG%)descr ibeG%$fitG%+importdataG%'randomG%*statevalfG%*statplotsG%*transformG" }}{PARA 7 "" 1 "" {TEXT -1 158 "Warning, these names have been redefin ed: boxplot, histogram, scatterplot, xscale, xshift, xyexchange, xzexc hange, yscale, yshift, yzexchange, zscale, zshift\n" }}{PARA 11 "" 1 " " {XPPMATH 20 "6#7.%(boxplotG%*histogramG%,scatterplotG%'xscaleG%'xshi ftG%+xyexchangeG%+xzexchangeG%'yscaleG%'yshiftG%+yzexchangeG%'zscaleG% 'zshiftG" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 74 "EXP := Distribu tion(PDF = (x -> piecewise(x<0,0,lamda*exp((B-x)*lamda)))):" }}} {EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 25 "E := RandomVariable(EXP):" } }}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 85 "#plot3d(E(a0,-2)*E(a1,1)+f (y,alpha_estimates[2]),a0=0..2,a1=0..2,color=red,axes=boxed" }}} {EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 129 "display(\{\nplot3d(e(a0,1,1 /10)*e(a1,1,1/10)+h(2,alpha_estimates[2])*f(y,alpha_estimates[2])/2, a 0=0.1..5,a1=0.1..5,axes=boxed)\n\});" }}{PARA 13 "" 1 "" {GLPLOT3D 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"" {MPLTEXT 1 0 51 "h(2,alpha_estimates[2])*logf(y,alph a_estimates[2]);" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#$!+U!o/G#!\")" }}} {EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 61 "l_ml := h(2,alpha_estimates[ 2])*log(f(y,alpha_estimates[2]));" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#> %%l_mlG$!+G!o/G#!\")" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 0 "" }} }{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 51 "posterior := (alpha) -> h(2 ,alpha)*log(f(y,alpha)):" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 45 "g := (alpha) -> envelope(alpha,B,lamda,l_ml):" }}}{EXCHG {PARA 0 "> \+ " 0 "" {MPLTEXT 1 0 13 "g([0.5,0.5]):" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 91 "envelope := (alpha,B,lamda,post_ml) -> e(alpha[1],B,l amda)*e(alpha[2],B,lamda)+3/4*post_ml:" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 37 "checkEnvelope(posterior,g,0.1,1,.05);" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#7\"" }}}{EXCHG {PARA 0 "" 0 "" {TEXT -1 0 "" }}} {EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 19 "alpha_estimates[2];" }} {PARA 11 "" 1 "" {XPPMATH 20 "6#-%'RTABLEG6%\"*))R)p<-%'MATRIXG6#7$7#$ \"3+-')GI.4Jf!#>7#$\"3yx!4E`-\"HE!#=&%'VectorG6#%'columnG" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 40 "L(BurnIn,T,y,convert([0.5,0.5],Vect or));" }}{PARA 0 "> " 0 "" {MPLTEXT 1 0 0 "" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#$!+)R%HBF!\")" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 38 "lamda := 1: vB := alpha_estimates[2]: " }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 54 "#posterior := (alpha,y) -> h(2,alpha)*log(f(y,al pha)):" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 73 "posterior := (alp ha,y) -> h(2,alpha)*L(BurnIn,T,y,convert(alpha,Vector)):" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 47 "envelope_ml := posterior(alpha_esti mates[2],y);" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%,envelope_mlG$!+U!o/ G#!\")" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 49 "a0lb := 0.05: a0u b := 1: a1lb := 0.05: a1ub := 5:" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 318 "a0 := 'a0': a1 := 'a1': \ndisplay(\{\nplot3d(e(a0,vB 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11957DC06F7E8C0307DB5C340DC3FC0309AEE4687C04CC030B2B4A479035BC030C60CB 0E8DC65C030D5C9D31758BAC030E2980C0B306FC030ED034E57B3D7C030F57D778D387 7C030FC632C9EBD66C03101FFCE5C5E84C0310690B13B9E25C0310A47BB985B7AC0310 D4D870B6F2FC0310FC31C1EBF57C03111C35B4FDFFFC031136422CA9C11C03114B73D6 575FAC03115CB2513ECE1C03116ABA11B9038C031176246CCE018C03117F6E23EBD1DC 031186FCB84FCE6C03118D22C056736C031192236E0D07EC031196356D8CF92C03083C B85298C91C0309FE1B69132B0C030B6BBDE08075AC030C953B9E50557C030D8747D07E F70C030E4C37B89D977C030EEC7398ECA64C030F6ED295A9303C030FD8E576ADDECC03 102F337A642ACC0310756BD2BF466C0310AE8DE917B49C0310DD0A20F29F9C031102DC 7FBD2B2C031121A25CCA005C03113AAC0694E16C03114F0B1E23EA0C03115F9E456D74 0C03116D1AA06BAAFC0311781390BC133C03118101004DA2EC031188447FE000FC0311 8E2D7145E39C031192FC6AEF565C031196E5F9C4F54C03089A4D221825BC030A4A3F61 B4BD6C030BA9B11F5F722C030CC7A32BB623BC030DB04A86F1810C030E6D95C8F6A2CC 030F0799AC79BDBC030F84E95F6E0D7C030FEADE5DEADE3C03103DD2E8CD3CFC031081 519703856C0310B83C095C4E4C0310E4EA67CFC38C0311094500667B1C031126D91FBD C48C03113EEA06FA6C8C0311527EB8859FEC0311626D3264053C03116F6390DBBB3C03 1179EF7D3F877C031182843A1A303C0311897F8ED16C1C03118F2DC8868A9C031193CC FBF55F3C0311978FABEA857C0308F4402D24D9AC030A936EDDD8526C030BE53CDE53A2 9C030CF815EF2E4EEC030DD7B5C880694C030E8DA85481C64C030F21B204406EEC030F 9A24B2A0B91C030FFC24B559B7AC03104BE10EBB799C03108CC12660519C0310C189FC 75BE0C0310EC7C6E29AB4C03110F6DD603FCDC03112BDC154E712C031142FDE184694C 031155D007F4A40C03116520388AA03C03117195CDB1348C03117BB8F144BA9C031183 F86CA8BB5C03118AAE6387E12C031190242CEE0F8C0311949574CA774C03119832C811 10FC03094AB5895AC77C030AD9C7397BFBCC030C1E790098FFCC030D26A75842060C03 0DFD99656A047C030EAC7C39045BBC030F3AC71829985C030FAE8D13B567BC03100CBF 6B0F65EC031059638FA0F7CC031097BF1743CB7C0310CA7B7DF11FDC0310F3C33D7753 6C031115597927332C031130AD40292EEC031146E938F45F8C0311590061274E2C0311 67B86D17F3FC031173B23878AFCC03117D70A44F22CC0311855E2D49263C03118BD177 7F75BC031191110154659C0311955625DAA9EC031198CF8FA7A2BC03099DCFE5D27FCC 030B1D64ACEB6AFC030C557C7C16393C030D536A15608A6C030E220490CFBE3C030ECA 1DD46ECFEC030F52E2F81C201C030FC22AB280A04C03101CB52846ADCC0310665FD6EA 99AC0310A24FD287A4EC0310D3142445C7DC0310FAC1C1034C4C03111B0A49D4CF1C03 11354E8F01A2AC03114AAD9FCB551C03115C110B9AD96C03116A36DA80754C031175B9 A9FDDA3C03117F1746C2EE9C031186B60B7FD95C03118CE93F7D3F9C031191F4A4BB73 5C0311960F5C72FBDC031199664193297C0309EDB0990B38DC030B5E62581210AC030C 8A5D6292B4DC030D7E701B5DB8EC030E4505E6CF13EC030EE69909D2B20C030F6A0F50 06501C030FD5056D8001AC03102C0C540C31BC031072DB1A2CA1CC0310AC779535FC0C 0310DB576245B66C0311017AC717837C0311208290789A3C031139C1DD58623C03114E 4C98EB463C03115F034216C48C03116C9C80E1431C031177ACF2A26D8C031180AD822B C7FC03118800913F56AC03118DF62BBE2CDC031192CF72752F6C031196C162E06E5C03 1199F71A47B2B-%&COLORG6&%$RGBG$\"*++++\"!\")$F,F,F=-%+AXESLABELSG6&%#a 0G%#a1GQ!F2-%%FONTG6#%(DEFAULTG-%*AXESSTYLEG6#%$BOXG" 1 2 0 1 10 0 2 1 1 2 2 1.000000 45.000000 45.000000 0 0 "Curve 1" "Curve 2" }}}} {EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 10 "lamda; vB;" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#\"\"\"" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#-%'RTABLEG 6%\"*))R)p<-%'MATRIXG6#7$7#$\"3+-')GI.4Jf!#>7#$\"3yx!4E`-\"HE!#=&%'Vec torG6#%'columnG" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 0 "" }}} {EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 37 "MMLD(T0,T,y,alpha_estimates[ 2],1000);" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#$\"+?=l)Q#!\"(" }}} {EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 14 "op(1,[1,2,3]);" }}{PARA 11 " " 1 "" {XPPMATH 20 "6#\"\"\"" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 2 "a;" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#7$$\"\"\"!\"\"$\"\"'F&" }}} {EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 0 "" }}}{EXCHG {PARA 0 "> " 0 " " {MPLTEXT 1 0 25 "op(1..4,alpha_estimates);" }}{PARA 11 "" 1 "" {XPPMATH 20 "6&-%'RTABLEG6%\"*SgMx\"-%'MATRIXG6#7#7#$\"3s5U;$R-i7#!#=& %'VectorG6#%'columnG-F$6%\"*ci]y\"-F(6#7$7#$\"3s]G=9iH+**!#>7#$\"3Zm?U 2k`4nF.F/-F$6%\"*gw9y\"-F(6#7%7#$\"3WpcsQ&**f.\"F.7#$\"3Ys;+\\61'G(F.7 #\"\"!F/-F$6%\"*/y8y\"-F(6#7&7#$\"3qDS05Dbm6F.7#$\"3slu\"4m[Pv'F.FLFLF /" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 62 "getStats(\"MMLD\",T0,T ,y,errors,2,4,[op(1..4,alpha_estimates)]);" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#Q2Estimating~Points6\"" }}{PARA 11 "" 1 "" {XPPMATH 20 "6$Q&MMLD~6\"\"\"#" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#Q2Estimating~Poi nts6\"" }}{PARA 11 "" 1 "" {XPPMATH 20 "6$Q&MMLD~6\"\"\"$" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#Q2Estimating~Points6\"" }}{PARA 11 "" 1 "" {XPPMATH 20 "6$Q&MMLD~6\"\"\"%" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#Q2Es timating~Points6\"" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#7&$\"3O?DUW4p16! #=$\"3k'3([F(o!yVF&$\"3=:D8$[*yt**!#?$\"3K/a9_-$GR\"!#>" }}{PARA 11 " " 1 "" {XPPMATH 20 "6#7'\"\"!F$\"\"\"$\"+X)4iy(!\")$\"+j@<6R!#7" }}} {EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 62 "getStats(\"AICc\",T0,T,y,err ors,2,4,[op(1..4,alpha_estimates)]);" }}{PARA 11 "" 1 "" {XPPMATH 20 " 6#7'\"\"!F$\"\"\"$\"+v))fsv!\")$\"+g;3&z\"!#7" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 63 "getStats(\"MML87\",T0,T,y,errors,2,4,[op(1..4,al pha_estimates)]);" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#7'\"\"!\"\"\"F$$ \"+gBA`w!\")$\"+g'*\\:t!#8" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 0 "" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 0 "" }}}{EXCHG {PARA 0 " > " 0 "" {MPLTEXT 1 0 74 "MMLD(T0,T,y,alpha_estimates[2],100); MMLD(T0 ,T,y,alpha_estimates[3],100); " }}{PARA 11 "" 1 "" {XPPMATH 20 "6#Q2Es timating~Points6\"" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#7$$\"3y+uV0C4)G# !#=$\"3da*fc^yC$eF&" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#$\"+Z.V&R'!\"( " }}{PARA 11 "" 1 "" {XPPMATH 20 "6#Q2Estimating~Points6\"" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#7%$\"3n/WEca736!#=$\"3!=%*e%=_G=YF&$\"3!*zU& 3`9LK\"!#>" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#$\"+\\\\\">/#!\"(" }}} {EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 1127 "-L(T0,T,y,alpha_estimates[ 2]);\n-L(T0,T,y,alpha_estimates[3]);\n-L(T0,T,y,alpha_estimates[4]);\n print(\"ARCH(0)\"): -L(T0,T,y,convert([.310687387922207298e-3], Vector ));\n-L(T0,T,y,convert([.228809240543740078, .583247851565995457], Vec tor));\n-L(T0,T,y,convert([.110812545626440467, .461828521845894180, . 132331453085427990e-1], Vector));\n-L(T0,T,y,convert([.188856907260140 400, .451513068042597554, .424748317994308664e-1, .184593534908999046] , Vector));\n-L(T0,T,y,convert([1.90470180300588843, .8008936823878018 42e-1, .101040444143418950, .286321255585491708, 2.19571638733852746], Vector));\n-L(T0,T,y,convert([.164483105631494098, .49827517269295462 6, 1.68632780921634960, .651860279875527859, 1.37417028636404258, .923 287660567460255], Vector));\n-L(T0,T,y,convert([1.72384033587255714, . 141771976847392067, 3.01109622893685502, .444211689460184356, .9074803 80357426030e-2, 1.87316078507598126, 1.04191175758518306], Vector));\n -L(T0,T,y,convert([.132988908914496606, .834415795005085879e-2, .38392 3568221936073, .298776229111377188, .978640598736985336e-1, .651451620 416013011, .332833695062981605, .145218068234006292], Vector));" }} {PARA 11 "" 1 "" {XPPMATH 20 "6#$\"+gBA`w!\")" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#$\"+](y#=w!\")" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#$\"+v ))fsv!\")" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#Q(ARCH(0)6\"" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#$\"+9:M\"R'!\"&" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#$\"+C!f%[y!\")" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#$\"+&))>At(!\" )" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#$\"+md3W\")!\")" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#$\"+*GyC[\"!\"(" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#$ \"+M\"RkA\"!\"(" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#$\"+K#fsg\"!\"(" }} {PARA 11 "" 1 "" {XPPMATH 20 "6#$\"+(e^I-\"!\"(" }}}{EXCHG {PARA 0 "> \+ " 0 "" {MPLTEXT 1 0 1113 "MSPE(T0,T,y,errors,2,alpha_estimates[2]);\nM SPE(T0,T,y,errors,2,alpha_estimates[3]);\nMSPE(T0,T,y,errors,2,alpha_e stimates[4]);\nprint(\"ARCH(1)\"):\nMSPE(T0,T,y,errors,2,[.22880924054 3740078, .583247851565995457]);\nMSPE(T0,T,y,errors,3,[.11081254562644 0467, .461828521845894180, .132331453085427990e-1]);\nMSPE(T0,T,y,erro rs,4,[.188856907260140400, .451513068042597554, .424748317994308664e-1 , .184593534908999046]);\nMSPE(T0,T,y,errors,5,[1.90470180300588843, . 800893682387801842e-1, .101040444143418950, .286321255585491708, 2.195 71638733852746]);\nMSPE(T0,T,y,errors,6,[.164483105631494098, .4982751 72692954626, 1.68632780921634960, .651860279875527859, 1.3741702863640 4258, .923287660567460255]);\nMSPE(T0,T,y,errors,7,[1.7238403358725571 4, .141771976847392067, 3.01109622893685502, .444211689460184356, .907 480380357426030e-2, 1.87316078507598126, 1.04191175758518306]);\nMSPE( T0,T,y,errors,8,[.132988908914496606, .834415795005085879e-2, .3839235 68221936073, .298776229111377188, .978640598736985336e-1, .65145162041 6013011, .332833695062981605, .145218068234006292]);\nMSPE(T0,T,y,erro rs,1,[.310687387922207298e-3]);\n" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#$ \"+g'*\\:t!#8" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#$\"+]hF#f#!#7" }} {PARA 11 "" 1 "" {XPPMATH 20 "6#$\"+g;3&z\"!#7" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#Q(ARCH(1)6\"" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#$\"+/hG X?!#6" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#$\"+fTkmE!#7" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#$\"+ " 0 "" {MPLTEXT 1 0 1 " " }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 18 "SampleSize := 500:" }}}{EXCHG {PARA 0 "> \+ " 0 "" {MPLTEXT 1 0 351 "MMLD(T0,T,y,alpha_estimates[1],SampleSize); M MLD(T0,T,y,alpha_estimates[2],SampleSize); MMLD(T0,T,y,alpha_estimates [3],SampleSize); MMLD(T0,T,y,alpha_estimates[4],SampleSize);\nMMLD(T0, T,y,alpha_estimates[5],SampleSize); MMLD(T0,T,y,alpha_estimates[6],Sam pleSize); MMLD(T0,T,y,alpha_estimates[7],SampleSize); MMLD(T0,T,y,alph a_estimates[8],SampleSize);" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#7#$\"3) H2A#zQ(o5$!#@" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#$\"+7,>T5!\"&" }} {PARA 11 "" 1 "" {XPPMATH 20 "6#7$$\"3i,O'e/M?W\"!#=$\"3nlbkbs%*RSF&" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#$\"+6u8A>!\"'" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#7%$\"30`'fzan+M#!#=$\"3#42AjdHvW$F&$\"3]ek>4mJR6F&" }} {PARA 11 "" 1 "" {XPPMATH 20 "6#$\"+TO0%G'!\"(" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#7&$\"3+/9gs!p&))=!#=$\"3avfU!oI^^%F&$\"3k'3V*zJ[ZU!#>$ \"3Y!***3\\`$f%=F&" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#$\"+1$G*3;!\"(" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#7'$\"3V))e+.=q/>!#<$\"3U=!yQ#o$*3!)! #>$\"3]*=M9W//,\"!#=$\"33<\\&eb7K'GF,$\"3YF&QtQ;d>#F&" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#$\"+JW')e;!\"(" }}{PARA 11 "" 1 "" {XPPMATH 20 "6# 7($\"3)4%\\Jc5$[k\"!#=$\"3EY&Hps^F)\\F&$\"3g\\j@4yK'o\"!#<$\"3fy_v)z-' =lF&$\"3eUSO'GqTP\"F+$\"3b-Yn0m(GB*F&" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#$\"+,Xz<xT\"!#=$\"3-bo$*Gi46IF&$\"3cV=g%*o6UWF)$\"3IgUd.Q![2*!#?$ \"3E\")f2&ygJ(=F&$\"31$=&ed<\">/\"F&" }}{PARA 11 "" 1 "" {XPPMATH 20 " 6#$\"+s[))R=!\"(" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#7*$\"31m\\9*3*))H8 !#=$\"3ze30]z:W$)!#?$\"3tg$>AoN#RQF&$\"3)=x86Hix)HF&$\"3O`)pt)fS'y*!#> $\"36I,;/i^9lF&$\"30;)H1&pLGLF&$\"3#H1SBo!=_9F&" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#$\"+f>c0=!\"(" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 0 "" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 0 "" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 0 "" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 227 "MMLD(T0,T,y,alpha_estimates[1],1000); MMLD(T0,T,y,alpha_estimat es[2],1000); MMLD(T0,T,y,alpha_estimates[3],1000); MMLD(T0,T,y,alpha_e stimates[4],1000);\nMMLD(T0,T,y,alpha_estimates[5],1000); MMLD(T0,T,y, alpha_estimates[2],1000);" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 0 "" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 0 "" }}}{EXCHG {PARA 0 "> \+ " 0 "" {MPLTEXT 1 0 10 "pmax := 8:" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 48 "order_choice(\"BIC\",T0,T,y,alpha_estimates,pmax);" } }{PARA 11 "" 1 "" {XPPMATH 20 "6#7%Q$BIC6\"\"\"%$\"+v))fsv!\")" }}} {EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 48 "order_choice(\"AIC\",T0,T,y, alpha_estimates,pmax);" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#7%Q$AIC6\"\" \"%$\"+v))fsv!\")" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 49 "order_ choice(\"AICc\",T0,T,y,alpha_estimates,pmax);" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#7%Q%AICc6\"\"\"%$\"+v))fsv!\")" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 47 "order_choice(\"HQ\",T0,T,y,alpha_estimates,pmax) ;" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#7%Q#HQ6\"\"\"%$\"+v))fsv!\")" }}} {EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 48 "order_choice(\"MML\",T0,T,y, alpha_estimates,pmax);" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#7%Q$MML6\"\" \"#$\"+gBA`w!\")" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 85 "MSPE(T0 ,T,y,errors,2,alpha_estimates[2]); MSPE(T0,T,y,errors,2,alpha_estimate s[4]);\n " }}{PARA 11 "" 1 "" {XPPMATH 20 "6#$\"+g'*\\:t!#8" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#$\"+g;3&z\"!#7" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 61 "-L(T0,T,y,alpha_estimates[2]); -L(T0,T,y,alpha_estima tes[4]);" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#$\"+gBA`w!\")" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#$\"+v))fsv!\")" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 0 "" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 0 "" }}} {EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 257 "MML(T0,T,y,alpha_estimates[ 1]); MML(T0,T,y,alpha_estimates[2]); MML(T0,T,y,alpha_estimates[3]); M ML(T0,T,y,alpha_estimates[4]); MML(T0,T,y,alpha_estimates[5]); MML(T0, T,y,alpha_estimates[6]);\n#MML(T0,T,y,alpha_estimates[7]); MML(T0,T,y, alpha_estimates[8]); " }}{PARA 11 "" 1 "" {XPPMATH 20 "6#$\"+\\Q:bk!\" *" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#$\"+iZjVv!\"*" }}{PARA 11 "" 1 " " {XPPMATH 20 "6#$\"+H!*oQ\"*!\"*" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#$ \"+6c)='**!\"*" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#$\"++c4,7!\")" }} {PARA 11 "" 1 "" {XPPMATH 20 "6#$\"+f$))G;\"!\")" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 248 "-L(T0,T,y,alpha_estimates[1]); -L(T0,T,y,alp ha_estimates[2]); -L(T0,T,y,alpha_estimates[3]); -L(T0,T,y,alpha_estim ates[4]); -L(T0,T,y,alpha_estimates[5]); -L(T0,T,y,alpha_estimates[6]) ;\n#-L(T0,T,y,alpha_estimates[7]); -L(T0,T,y,alpha_estimates[8]);" }} {PARA 11 "" 1 "" {XPPMATH 20 "6#$\"*+*Q,#*!\")" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#$\"*fI_u)!\")" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#$\"*^P V.*!\")" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#$\"*dUS1*!\")" }}{PARA 11 " " 1 "" {XPPMATH 20 "6#$\"+%eU'Q5!\")" }}{PARA 11 "" 1 "" {XPPMATH 20 " 6#$\"*yI?K*!\")" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 131 "Fisher( T0,T,y,arch1); Fisher(T0,T,y,arch2); Fisher(T0,T,y,arch3); Fisher(T0,T ,y,arch4); Fisher(T0,T,y,arch5); Fisher(T0,T,y,arch6);" }}{PARA 0 "> \+ " 0 "" {MPLTEXT 1 0 135 "#Fisher(T0,T,y,arch7); Fisher(T0,T,y,arch8); \+ Fisher(T0,T,y,arch9); Fisher(T0,T,y,arch10); Fisher(T0,T,y,arch11); Fi sher(T0,T,y,arch12);" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#$\"+EdLZk!\") " }}{PARA 11 "" 1 "" {XPPMATH 20 "6#$\"+&*pdbG!\")" }}{PARA 11 "" 1 " " {XPPMATH 20 "6#$\"+F#3m\"\\!\"*" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#$ \"+\"Hj*3>!\"*" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#$\"+HS:6Q!#5" }} {PARA 11 "" 1 "" {XPPMATH 20 "6#$\"+'=D_!=!#5" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 39 "-log(1/sqrt(Fisher(T0,T,y,arch10)/12));" }} {PARA 0 "> " 0 "" {MPLTEXT 1 0 38 "-log(1/sqrt(Fisher(T0,T,y,arch3)/12 ));" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#$!+dSnTI!\"*" }}{PARA 11 "" 1 " " {XPPMATH 20 "6#$!+SG+Ep!#5" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 0 "" }}}}{MARK "76 0 0" 0 }{VIEWOPTS 1 1 0 3 4 1802 1 1 1 1 } {PAGENUMBERS 0 1 2 33 1 1 }{RTABLE_HANDLES 177346040 178506256 178147660 178137804 179110524 222626440 178437760 177902508 }{RTABLE M7R0 I6RTABLE_SAVE/177346040X*%)anythingG6"6"[gl!#%!!!""""$"3s5U;$R-i7#!#=F& } {RTABLE M7R0 I6RTABLE_SAVE/178506256X*%)anythingG6"6"[gl!#%!!!"#"#$"3s]G=9iH+**!#>$"3Zm?U2k` 4n!#=F& } {RTABLE M7R0 I6RTABLE_SAVE/178147660X*%)anythingG6"6"[gl!#%!!!"$"$$"3WpcsQ&**f."!#=$"3Ys;+\6 1'G(F)""!F& } {RTABLE M7R0 I6RTABLE_SAVE/178137804X*%)anythingG6"6"[gl!#%!!!"%"%$"3qDS05Dbm6!#=$"3slu"4m[P v'F)""!F,F& } {RTABLE M7R0 I6RTABLE_SAVE/179110524X*%)anythingG6"6"[gl!#%!!!"&"&$"3'oQXi`927"!#=$"3#=*f*f) eF%*oF)""!F,$"3i3/b@yz&R"!#>F& } {RTABLE M7R0 I6RTABLE_SAVE/222626440X*%)anythingG6"6"[gl!#%!!!"'"'$"3$G#\2Qh5C7!#=$"3U*Q!ek& 4xQ'F)""!F,$"3OOK!**3\)HU!#>F,F& } {RTABLE M7R0 I6RTABLE_SAVE/178437760X*%)anythingG6"6"[gl!#%!!!"("($"3/OlUbtSB8!#=$"3!RG!y[o! >7(F)""!F,$"3OWZ1_kHiP!#>F,F,F& } {RTABLE M7R0 I6RTABLE_SAVE/177902508X*%)anythingG6"6"[gl!#%!!!")")$"3]8:%*46rQ:!#=$"3I`^]?)e KW'F)""!F,$"3R**)z9Z?NV%!#>F,F,F,F& }