Mlogistic <-
function(y,fit,cov) {
n <- length(y)
X <- model.matrix(fit)
MLE <- as.vector(fit$coef)
pi <- exp(MLE%*%t(X))/(1+exp(MLE%*%t(X)))
max_loglik<-log(pi)%*%y + log(1-pi)%*%(1-y)
input <- list(y=y,X=X,MLE=MLE,max_loglik=max_loglik)
H <- function(epsilon,input,VZ,cstar) {
tmp <- exp(input$X %*% (input$MLE+epsilon*VZ))
input$y %*% log(tmp/(1+tmp)) + (1-input$y) %*% log(1/(1+tmp)) -
input$max_loglik+0.5*cstar
}
H.lik <- function(y,X,MLE) {
tmp <- exp(X %*% MLE)
y %*% log(tmp/(1+tmp)) + (1-y) %*% log(1/(1+tmp))
}
if (is.null(cov)) {
cov <- vcov(fit)
list(cov=cov,input=input,H=H,H.lik=H.lik)
}
else {
list(input=input,H=H,H.lik=H.lik)
}
}
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