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#' WP method background function computeLL
#'
#' This is a background/internal function called by \code{WP}. It computes the log-likelihood.
#'
#' @param NT vector of case counts
#' @param p discretized version of the serial distribution
#' @param R0 basic reproductive ratio
#' @return The function returns the variable \code{LL} which is the log-likelihood at the input variables and parameters.
#' @export
#
computeLL <- function(p, NT, R0){
k <- length(p)
TT <- length(NT)-1
mu_t <- rep(0, TT)
for(i in 1:TT){
Nt <- NT[i:max(1,i-k+1)]
# print(Nt)
# print(p[1:min(k,i)])
mu_t[i] <- sum(p[1:min(k,i)]*Nt)
}
mu_t <- R0*mu_t
LL <- -sum(mu_t)+sum(NT[-1]*log(mu_t))
return(LL)
}
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