MCMCsampleLSMmulti = function(niter,Y,Z,Intercept,dd,MuInt,VarInt,VarZ,Psi,
dof,accZ,accInt,tuneZ,tuneInt,A,B,nn=nn,TT=TT,MakeParallel = TRUE)
{
ZFinal = list()
InterceptFinal = rep(NA,niter)
Likelihood = rep(NA,niter)
ZVarFinal = list()
for(iter in 1:niter){
llikAll = 0
if(MakeParallel == TRUE){
Zupdt = mclapply(1:TT,function(tt){
llikOldZ = sapply(1:nn[tt],function(x)likelihoodi(x,dd,nn[tt],
Y[[tt]],Z[[tt]],Intercept));
Zupdt_tt = ZupdateLSM(Y=Y[[tt]],Z=Z[[tt]],Intercept=Intercept,dd=dd,nn=nn[tt],
var=VarZ,llikOld=llikOldZ,acc=accZ[[tt]],tune=tuneZ[[tt]]);
llik = FullLogLik(Y[[tt]],Zupdt_tt$Z,Intercept,nn[tt],dd);
return(list(Zupdt_tt,llik))},mc.cores =6)
# print(Zupdt)
Z = lapply(1:TT,function(tt)Zupdt[[tt]][[1]]$Z)
accZ = lapply(1:TT,function(tt)Zupdt[[tt]][[1]]$acc)
llikAll = sum(sapply(1:TT,function(tt) Zupdt[[tt]][[2]]))
}else{
for(tt in 1:TT){
#update Z
llikOldZ = sapply(1:nn[tt],function(x)likelihoodi(x,dd,nn[tt],
Y[[tt]],Z[[tt]],Intercept[tt]))
Zupdt = ZupdateLSM(Y=Y[[tt]],Z=Z[[tt]],Intercept=Intercept,dd=dd,nn=nn[tt],
var=VarZ,llikOld=llikOldZ,acc=accZ[[tt]],tune=tuneZ[[tt]])
Z[[tt]] = Zupdt$Z
accZ[[tt]] = Zupdt$acc
llikAll = llikAll+ FullLogLik(Y[[tt]],Z[[tt]],Intercept,nn[tt],dd)
} }
#update intercept
Intupdt = InterceptupdateAR(Intercept=Intercept,llikAll=llikAll,
MuBeta=MuInt,VarBeta=VarInt,tune=tuneInt,
acc=accInt,Y=Y,Z=Z,TT=TT,nn=nn,dd=dd)
Intercept = Intupdt$Intercept
accInt = Intupdt$acc
VarZ = SigmaUpdatelsmMulti(A=A,B=B,Z=Z,nn=nn,dd=dd,TT=TT)
#STORE UPDATES
ZFinal[[iter]] = Z
InterceptFinal[iter] = Intercept
Likelihood[iter] = Intupdt$llikAll
ZVarFinal[[iter]] = VarZ
print(iter)
}
draws = list(Z=ZFinal,Intercept=InterceptFinal,Likelihood =Likelihood ,VarZ =ZVarFinal)
accZ = lapply(1:TT,function(tt)accZ[[tt]]/niter)
accInt = accInt/niter
acc = list(accZ=accZ,accInt=accInt)
return(list(draws=draws,acc=acc))
}
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