请MCMC高手帮忙
请教一下这里的统计高手. 我是在读金融工程博士. 想要用mcmc估计我的模型. 但是我的BUGS程序的结果很奇怪,和金融理论不一致. 我发现问题是在运行2000 模拟, 各个参数的history都是一条几乎直线. accept 曲线基本都是处于0. 该怎么办呢
这里是我的程序
Model{
#distribution of Ys
###################
for (i in 1:(N-1)) {
##Ymean <- rho/tau*exp(0.5*theta)*(theta[i+1]-mu-phi*(theta-mu));
##Yisigma2 <- 1/(exp(theta)*(1-rho*rho));
Ymean <- mu+ rho / sqrt(abs(sigmaV2)) *( V[i+1] - V - kappa *(theta - V) )
Yisigma2 <- 1/( V*(1-rho*rho));
Y~ dnorm(Ymean,Yisigma2);
###############
## The VIX
VIXTheory <- sqrt( abs(A * V + B) );
VIX~dnorm( VIXTheory,preco)
}
#Ymean[N] <- mu - phi *( theta[N]- mu);
#Yisigma2[N] <- 1/(exp(theta[N]));
#Y[N]~ dnorm(Ymean[N],Yisigma2[N]);
Ymean[N] <- mu+ rho / sqrt(sigmaV2) *( V[N] - V[N-1] - kappa *(theta - V[N-1]) );
Yisigma2[N] <- 1/( V[N]*(1-rho*rho));
Y[N]~ dnorm(Ymean[N],Yisigma2[N]);
VIXTheory[N] <- sqrt( A * V[N] + B );
VIX[N]~dnorm( VIXTheory[N],preco)
#distribution of thetas
###################
#isigma2<-(1-phi*phi)*itau2; #
#theta0 ~ dnorm(mu,isigma2);
#thetamean[1] <- mu + phi*(theta0-mu);
#theta[1] ~ dnorm(thetamean[1],itau2);
#for (i in 2:(N+1)) { # thetamean <- mu + phi*(theta[i-1]-mu); #
# theta ~ dnorm(thetamean,itau2); # }
#distribution of V[]
#isigma2<-(1-phi*phi)*itau2;
Visigma20 <- 1/( sigmaV2 )
V0 ~ dnorm( theta, Visigma20 )I(0,);
Vmean[1] <- V0 + kappa*( theta - V0 );
Visigma2[1]<- 1/( sigmaV2 * V0 );
V[1] ~ dnorm( Vmean[1], Visigma2[1] )I(0,) ;
for (i in 2:(N)) { Vmean <- V[i-1] + kappa*( theta - V[i-1] ); Visigma2 <- 1/( sigmaV2 * V[i-1] );
V ~ dnorm(Vmean,Visigma2)I(0,) ; }
###########################
#phistar ~ dbeta(20,1.5);
#phi <- 2*phistar -1;
#mu ~ dnorm(0,0.04); #
#itau2 ~ dgamma(2.5,0.025); #
#tau <- sqrt(1/itau2);
#rho ~ dunif(-1,1)
### Prior distribution
sigmaV2 ~dgamma(2.5,0.025);
kappa~ dnorm(0,1);
theta~ dnorm(0,1);
rho ~dunif(-1,1);
mu ~ dnorm( 1,25);
preco~dgamma(2.5,0.025);
sigma2o<-1/preco;
A <- ( 1- exp(-kappa * tau_VIX ) )/ (tau_VIX * kappa);
B <- ( 1-A ) * ( theta );
}
l#list(theta0=0.975)list(N=900, tau_VIX= 0.0833333) # constant
list( theta=0.9052,mu=0,sigmaV2=0.01, rho=0,V0=0.001,kappa=0.02) # initial value
V= 0.0001 initial value as well
后面是数据
Y[] VIX[]
0.01083991 24.19
-0.00732438 23.25
-0.00493928 23.79
0.01163795 24.00
0.00613584 25.90
-0.00686632 25.18
-0.01842003 23.84
0.01029665 25.77
-0.00065800 24.08
-0.00841656 23.02
0.01310082 23.71
0.02207290 23.49
-0.00278081 25.62
-0.00755999 25.30
-0.01599519 24.87
-0.00278475 25.91
0.00027267 24.63
-0.01567982 24.26
0.00330885 23.29
0.00998480 22.58
0.00751778 23.67
0.00579287 22.50
-0.00841240 22.62
0.00434171 22.29
-0.00020965 21.59
0.00411505 21.40
0.00672884 23.80
0.00335613 22.71
-0.01120795 21.34
0.00572361 20.45
0.00913823 21.94
0.00619393 21.83
-0.00652009 22.13
-0.00359478 22.36
-0.00481034 22.60
0.00121989 23.58
-0.00951292 22.70
-0.00629597 23.45
0.00681085 22.25
-0.01637852 22.52
0.00998045 23.61
-0.00997158 21.88
-0.00736132 21.15
0.00789329 21.01
0.00351277 21.14
0.00099760 24.35
-0.00019415 23.22
-0.02903011 21.09
0.01167924 21.12
0.01482354 24.87
-0.00710356 25.45
-0.02504823 26.09
-0.00404677 25.11
-0.00599027 23.26
-0.00308734 21.78
0.01474946 21.62
0.01423834 20.85
-0.00400101 21.77
0.00989222 22.37
-0.00181656 24.43
-0.01107790 22.66
-0.01905412 23.80
0.01342327 22.86
-0.01563184 21.84
0.00819061 21.68
0.01781547 21.49
-0.00004507 21.59
0.00045961 19.96
-0.00285119 20.50
0.02238189 20.30
0.01930390 19.94
-0.00669574 20.04
0.01440531 19.27
-0.00450803 19.84
0.00583157 19.59
0.00338683 19.46
-0.00229665 19.20
-0.00990666 18.42
-0.00091022 18.93
0.01131437 18.16
-0.00052322 18.46
0.00405850 18.15
-0.01588224 17.77
0.00150947 18.48
-0.00424795 18.13
-0.01475974 17.70
0.00583169 17.40
0.00533493 18.73
0.00245204 19.16
-0.00074109 20.20
-0.00856660 19.78
-0.01004358 19.13
0.00083491 19.61
-0.00321022 19.47
0.00227756 18.19
-0.00667831 20.30
0.01127101 19.42
-0.02397436 19.82
0.00661040 18.11
-0.00764383 18.43
0.02314843 19.29
-0.00204042 18.30
-0.00142188 19.77
0.00062232 20.28
-0.01553099 20.77
-0.00622062 20.95
-0.00712824 22.14
-0.00151972 24.05
-0.01398676 21.91
-0.01015057 20.06
0.01070787 20.07
0.00881959 20.19
-0.00175033 22.56
-0.01031525 21.94
-0.01952934 20.39
-0.00302546 21.56
0.03681776 22.41
-0.01465431 20.72
-0.01693650 19.35
0.01837999 19.19
0.02092312 18.50
-0.00567552 17.70
0.00654093 19.24
0.00758342 20.05
-0.01338223 19.58
-0.01105106 18.23
0.00566971 18.90
0.01013247 20.31
-0.01216027 20.39
-0.00858987 20.61
-0.00643263 19.98
-0.00281384 23.37
0.00232667 23.89
-0.02510783 22.61
0.00000961 24.16
0.00881097 23.51
-0.01996170 23.72
-0.00157535 24.45
0.00311913 24.15
-0.01676864 25.02
0.00654915 25.96
-0.01054290 24.64
-0.00227089 24.24
0.02828752 26.06
0.00093570 27.48
-0.01667410 27.23
-0.01352252 26.98
-0.01718970 27.84
0.00361277 28.42
-0.01684263 26.29
-0.00267738 25.40
0.01742256 27.11
-0.00082809 28.96
-0.02161976 29.42
-0.02145392 27.11
0.00620375 28.25
0.03607148 30.22
-0.01225848 34.10
-0.02502968 33.85
-0.03455209 32.94
0.00746821 35.03
-0.00646922 36.65
-0.00376226 35.45
-0.01868247 35.12
0.00564479 38.17
-0.02739039 41.87
-0.03910728 44.92
-0.03346438 39.86
-0.02738881 39.27
0.05574432 35.51
-0.00564768 31.33
0.01674273 31.92
0.05266658 32.03
0.00424035 36.95
0.00974435 41.29
-0.03001985 45.08
-0.02335288 42.03
-0.03489794 38.73
0.02947970 36.33
0.01981244 35.33
0.03219840 37.05
0.00350587 35.82
-0.00534088 32.36
-0.02191351 29.43
0.03926595 28.81
0.01149283 28.61
-0.00159224 29.59
0.02333743 28.23
-0.01405647 27.75
0.01264599 29.32
0.01395376 29.89
-0.02294749 30.11
0.00750741 33.32
-0.01394776 33.67
-0.01829823 32.64
-0.00007627 39.97
-0.00188672 37.44
-0.04242341 38.86
0.01736504 36.33
-0.01607888 36.45
0.01666075 35.08
0.01006197 34.81
0.00730470 37.50
-0.00014293 35.82
-0.02509651 36.74
0.00326445 38.01
0.00144870 37.52
-0.01992563 40.65
-0.00465870 38.98
-0.03052585 39.68
0.00245158 40.52
-0.01392443 37.33
-0.01743551 34.60
0.02455894 36.97
0.01804594 39.69
-0.03279099 34.12
-0.01472038 36.83
0.03924289 37.31
-0.02387005 39.46
-0.01088142 42.64
-0.02268657 41.02
-0.01929612 42.13
0.01675724 37.55
-0.02766616 35.70
0.03436834 36.04
0.03831512 34.02
0.00729982 36.00
0.04624934 34.10
-0.02440840 33.53
0.02205676 33.11
0.00588574 34.09
0.01718546 33.20
-0.01068238 34.03
0.00669543 30.00
-0.01533786 31.07
0.01702145 32.27
-0.00830038 31.23
-0.00911775 31.14
0.00965679 29.30
-0.00557286 30.82
0.01701483 31.23
0.00816891 30.73
0.00772044 31.42
0.00910209 29.41
-0.02311742 31.30
-0.00880171 30.58
-0.02095021 31.24
0.00768561 28.67
-0.00047579 26.65
0.02433521 27.66
0.00612978 27.41
-0.01046309 25.32
-0.00402872 23.81
0.01922871 23.16
0.02122477 24.07
-0.00344364 25.97
0.00249005 27.25
-0.02119049 27.50
0.02760166 27.46
-0.00273041 28.33
-0.00190289 28.92
-0.01485517 30.10
-0.00344879 28.88
-0.01209358 30.78
0.00624597 28.76
-0.02242602 27.76
0.01386089 27.29
0.00056372 28.18
-0.00374196 26.24
-0.01351176 26.66
0.02324704 28.29
-0.00817258 30.21
-0.01323238 26.71
-0.00773927 26.20
0.01293269 26.49
0.00180689 27.37
-0.00548651 29.55
-0.00315353 29.62
-0.01615844 28.62
0.00454756 25.39
0.00048886 24.68
0.03266076 24.91
-0.00048415 25.13
0.02222556 25.53
-0.00656611 24.25
-0.01418572 24.32
0.01920059 24.90
0.00000000 24.57
-0.00141329 25.51
0.00581297 25.01
-0.01453093 25.70
-0.00395020 27.59
-0.01411622 29.01
-0.01582686 27.53
-0.01048719 31.51
0.01017169 34.69
-0.02966925 31.93
-0.01629173 31.26
0.01296603 31.32
0.00675608 31.17
-0.02311437 31.02
0.01304487 32.76
0.00538457 33.04
-0.01418796 33.35
-0.00544986 34.01
-0.00646951 33.99
-0.01014495 33.68
0.00754059 34.33
-0.00813135 33.70
-0.01276809 32.62
-0.00160142 31.11
0.02120811 31.31
0.01931189 31.16
-0.00712141 30.25
-0.00954692 31.98
0.01313755 31.74
-0.01855177 31.94
0.00716875 30.53
-0.01322853 29.63
0.01168901 30.43
0.00461146 31.83
-0.00756585 30.38
-0.01547592 31.37
0.00951673 31.08
-0.00938292 33.31
0.00822541 33.61
-0.02616917 33.51
-0.00839448 31.76
0.00431175 30.98
0.03387668 31.75
0.00164548 30.43
0.03481361 31.54
0.00423308 30.44
0.00869885 28.67
0.00188605 30.39
0.02271670 28.75
-0.03586707 28.23
0.01208776 27.96
-0.00549096 27.75
-0.00164513 29.15
-0.00579672 28.36
-0.01790102 28.02
0.01207051 28.21
0.02578073 29.13
-0.00506445 28.45
0.00273458 27.13
0.00122812 27.11
-0.00186552 25.60
-0.01410347 24.44
0.00643430 23.41
-0.00377038 22.56
0.01931022 22.52
0.00628366 21.50
-0.01231153 21.95
0.01541624 20.70
-0.00175852 20.80
0.02147162 20.33
0.00835892 20.80
-0.00829309 20.84
-0.01394313 20.76
0.01767752 21.21
0.00327390 21.59
-0.00100286 20.63
-0.00067641 21.13
0.01492678 20.80
-0.00380259 21.00
0.00842590 21.24
-0.00511801 19.69
-0.01010880 19.52
0.01417744 19.91
0.01245678 20.00
-0.00297763 19.24
-0.00321007 18.40
0.00783694 20.51
-0.00250665 21.29
-0.02523364 21.21
-0.00113013 19.78
0.00400402 19.17
0.00910915 19.99
0.00144765 20.03
0.01937770 20.43
0.00182706 19.47
-0.00376276 20.85
0.01458293 20.84
0.00353260 20.62
0.00470453 20.83
0.01499671 21.25
0.00394661 22.15
-0.00240659 20.64
-0.01204889 20.21
0.00908833 20.41
0.01275291 20.66
0.00103207 20.22
-0.00996425 20.01
0.02213810 19.76
0.00090981 19.80
-0.00155311 19.14
-0.01535353 20.58
0.00099478 20.75
-0.01421132 20.81
0.00184216 19.40
-0.00830118 19.16
0.01070816 19.52
-0.00978581 19.46
-0.00176345 19.03
0.00799260 19.39
0.01156855 20.06
-0.00813362 19.48
0.01881349 18.93
0.00339917 19.19
-0.00560187 18.47
-0.01357189 19.59
0.00950260 19.55
0.00571430 19.76
-0.00343266 20.22
-0.00634745 19.11
-0.01251142 19.78
0.01173655 19.17
-0.01472554 18.64
0.00946670 18.60
0.00050589 17.75
-0.00711602 18.36
0.01725051 18.67
-0.00216520 18.85
-0.00729180 19.49
-0.00181104 20.75
0.00285166 21.27
-0.01031240 22.68
0.00272037 21.50
-0.01782132 20.26
0.00167655 19.59
0.00725328 19.75
0.00355586 17.94
0.00306407 18.77
0.00990398 18.47
-0.00640203 18.27
0.00656358 18.18
0.00016152 17.86
0.00911376 17.82
0.00260728 17.84
-0.00204729 18.55
0.00296471 19.53
-0.01022886 19.49
0.00065433 19.13
0.00303451 18.48
0.00006020 18.63
0.00605114 19.02
0.00514212 19.44
0.01377362 18.71
0.00417916 18.17
0.00165511 18.26
-0.00642154 18.85
0.00998532 20.01
-0.00824412 19.25
-0.01204484 18.68
0.00542584 19.28
0.00217194 18.03
-0.00375718 18.15
0.01419699 17.57
-0.00325988 17.54
0.01317828 19.65
-0.00316011 19.47
-0.01309316 21.22
0.00605309 22.26
-0.01928033 22.23
-0.00607162 21.67
-0.00641964 22.72
0.00971342 21.07
-0.01059659 20.80
0.02209415 19.50
0.00198189 19.51
0.00937527 19.41
0.00436005 19.18
0.00472609 18.82
-0.00527731 18.45
0.00477683 17.55
-0.00064523 17.37
0.00699817 17.69
0.00394305 17.19
-0.00259512 17.62
0.00315715 17.04
-0.01029018 16.55
0.00514397 17.67
0.00129143 17.68
-0.01509379 17.71
0.00330406 18.05
-0.00471232 16.82
0.00215530 16.43
0.01507305 16.33
0.00126020 16.10
-0.00111692 16.55
0.00359450 16.55
0.00787783 16.86
-0.00546333 16.74
-0.00136813 16.93
0.00591510 17.62
-0.00458495 17.54
-0.00580866 16.75
-0.00051584 16.47
0.01136300 16.94
-0.00011337 18.60
-0.00764434 19.11
-0.00641842 18.80
-0.00912519 19.48
0.00798429 18.98
-0.00846789 17.44
0.00157569 16.71
0.01609724 16.23
0.00171892 16.70
0.00431749 16.32
-0.00023622 16.77
0.01120144 16.27
-0.00327602 16.63
-0.00177352 16.30
0.00467569 17.09
-0.00771393 16.54
0.00732123 17.63
-0.00856552 17.87
-0.00106643 16.73
0.01141657 16.41
0.00273149 17.23
-0.00569515 15.93
0.00661639 15.58
0.00125487 16.16
0.01172866 16.42
-0.00047754 16.94
0.00392373 16.49
0.00281412 16.66
-0.00180817 18.00
0.00168955 17.45
0.01232462 17.09
0.00014420 17.68
0.00205261 18.31
-0.00309854 18.22
0.01231916 17.49
0.00129125 16.73
0.00236445 15.50
0.00495075 15.61
-0.00892728 16.75
0.00477527 16.82
-0.00534592 18.04
0.00826033 16.75
0.00135244 15.56
0.00684898 15.00
-0.00093040 15.21
0.00774150 14.34
-0.00321179 14.71
-0.00209146 14.84
0.01203365 14.55
-0.00984604 15.35
-0.01370300 16.78
0.00497661 17.14
-0.00263107 16.63
0.00364457 17.11
0.00067803 17.34
-0.00840649 17.87
0.00183583 17.71
0.01247732 16.00
-0.00258481 16.39
0.00501456 15.94
0.01061096 15.39
-0.00489206 15.31
-0.00548323 15.58
0.00970999 15.40
-0.00447851 15.59
-0.00414115 15.80
-0.00257510 16.04
-0.00273074 16.29
-0.00166661 15.90
0.00401269 14.93
0.00108364 14.83
0.00002620 14.55
0.00958758 14.44
-0.00596079 14.86
0.00167817 14.55
0.00333059 14.40
0.00172165 14.48
-0.00838525 15.79
-0.00578729 16.60
-0.01474102 18.67
-0.01534098 20.67
0.01238259 18.30
-0.01445379 21.13
0.00560676 20.34
0.01168086 18.11
-0.00127334 18.53
-0.01123617 19.15
-0.01304220 21.58
-0.00132459 20.67
-0.00239786 19.81
0.01623288 17.88
-0.00101928 17.33
0.01292088 16.50
0.00402762 16.28
-0.00070122 16.74
0.00527813 16.65
0.00847858 15.64
0.00764275 14.97
-0.00209681 15.32
-0.00666759 15.76
-0.00106147 16.26
0.00514770 15.28
-0.01385736 17.26
-0.00112508 15.62
0.00059371 15.74
0.00509842 14.94
0.00106588 15.42
-0.01567932 16.67
0.00529829 15.60
0.01399304 14.61
0.00058758 14.01
-0.00445494 14.77
0.00226949 15.07
-0.01389083 16.29
-0.00761977 16.60
-0.00593377 17.19
0.00916048 16.62
0.00184172 16.55
0.00176701 15.77
-0.00674566 17.05
-0.01382050 18.13
-0.01059567 19.77
0.00763324 18.57
0.00166915 18.14
-0.00076582 18.86
-0.00067514 18.47
-0.01064328 19.96
0.00679359 19.33
-0.00257778 18.93
0.00046835 18.67
0.00400413 18.49
0.00169029 18.08
0.01597527 15.96
0.00169660 15.97
0.00567030 15.28
-0.00053525 15.50
0.00046390 16.30
0.00337461 16.08
-0.00744997 17.03
0.00523416 16.78
0.01583828 15.39
0.00154210 15.01
-0.00954479 15.39
0.00453304 15.04
-0.00988619 16.07
0.00595403 15.05
0.00136831 14.79
-0.00133297 15.15
0.00262012 14.99
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END
[此贴子已经被yahoocom于2009-5-1 14:16:09编辑过]