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# Supporting functions for model_transition.R
############## likelihood function ##############
trans_logml <- function(zz,Yt,Ytminus1,v,lambda0_mat_expanded,dpreds) {
d0 <- length(unique(Yt))
v0 <- cbind(Yt[v==1],Ytminus1[v==1],zz[v==1,])
v0 <- v0[do.call(order,as.data.frame(v0)),]
v00 <- unique(v0)
m00starts <- which(!duplicated(v0))
Ts <- c(diff(m00starts),nrow(v0)-m00starts[length(m00starts)]+1)
C <- array(0,dim=c(d0,d0,dpreds))
C[as.matrix(v00)] <- C[as.matrix(v00)]+Ts
Cdata <- matrix(C,nrow=d0)
lambda0_mat_expanded[lambda0_mat_expanded==0] <- 10^-5
loglik <- sum(gammaln(Cdata+lambda0_mat_expanded))-sum(gammaln(colSums(Cdata)+colSums(lambda0_mat_expanded)))-sum(gammaln(lambda0_mat_expanded))+sum(gammaln(colSums(lambda0_mat_expanded)))
return(loglik)
}
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