log_likelihood <- function(y, x, beta, sigmasq_inv = NULL, model){
if(model == "normal"){
if(is.null(sigmasq_inv)) stop("Provide sigmasq_inv")
out <- dnorm(x = y, mean = x %*% beta, sd = sqrt(1/sigmasq_inv), log = TRUE) %>% sum
}else if(model == "logistic"){
out <- dbinom(x = y, size = 1, prob = expit(x %*% beta), log = TRUE) %>% sum
}else if(model == "poisson"){
out <- dpois(x = y, lambda = exp(x %*% beta), log = TRUE) %>% sum
}
return(out)
}
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