loglik.C_i.one.part.model <-
function(para,Z,dat.surv, Z.test.coeff.index,gh.nodes,nsample){
Z.aug = cbind(intersept = 1,Z)
time <- as.vector(dat.surv$time)
disease<- as.vector(dat.surv$disease)
se2 <- para[1]
k <- para[2]
gamma <- para[3:(2+ncol(Z.aug))]
gamma = as.matrix(gamma)
delta <- para[-(1:(2+ncol(Z.aug)))]
delta2 = delta
gh.nodes.survival = gh.nodes[1:nsample,]
quad.n = ncol(gh.nodes)
time.long = matrix(rep(time,quad.n),ncol=quad.n, byrow = FALSE)
disease.long = matrix(rep(disease,quad.n),ncol=quad.n, byrow = FALSE)
log.i <- disease.long* (log(k)+(k-1)*log(time.long)+ Z.aug %*% gamma[,rep(1,quad.n)]+
delta2*gh.nodes.survival*se2*sqrt(2)) -
time.long^k * exp(Z.aug %*% gamma[,rep(1,quad.n)]+
delta2*gh.nodes.survival*se2*sqrt(2))
log.i[is.infinite(log.i)] <- 0
logL_Ci = log.i
return(logL_Ci)
}
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