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#MCMC E step for EM collocation
Estep.MCMC = function(times,data,pars,coefs,lik,proc,prior,walk.var,cscale,nstep,in.meth='SplineEst',control.in=NULL)
{
parhist = matrix(0,nstep,length(pars)) # Store parameter history
coefhist = matrix(0,nstep,length(coefs))
bestcoefhist = matrix(0,nstep,length(coefs))
acc = rep(0,nstep)
f = SplineCoefsErr(coefs,times,data,lik,proc,pars,sgn=-1) # Complete data log posterior
tcoefs = coefs
parhist[1,] = pars # Initialize
bestcoefhist[1,]=tcoefs
coefhist[1,] = tcoefs
eta = 0 # cscale = 0 defaults to Collocation MCMC
for(i in 2:nstep){
print(i)
if(cscale>0){
eta = rnorm(length(coefs))*cscale
}
tf = SplineCoefsErr(as.vector(tcoefs)+eta,times,data,lik,proc,pars,sgn=-1)
print(c(tf,f))
if( runif(1) < exp( tf-f)){ # Acceptance probability
coefs = as.vector(tcoefs)+eta
f = tf
acc[i] = 1
}
parhist[i,] = pars
coefhist[i,] = coefs
# bestcoefhist[i,] = res$coefs
}
return(list(parhist=parhist, coefhist=coefhist, acc = acc))
}
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