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#' Fit log linear model for each gene
#'
#' @param yy a list object contating a result from obtCount() function for a single gene
#' @param mu.hat,sig.hat Carrier density estimators
#' @param n number of observations
#'
#' @return a list object containing the fitted log linear model and carrier density
#' @importFrom stats pnorm
fitLLmodel <- function(yy, mu.hat, sig.hat, n){
#Evaluate carrier density
g0 = diff(pnorm(yy$breaks, mean = mu.hat, sd = sig.hat))
g0[g0==0] = .Machine$double.eps
ofs = log(g0*n)
llm = NULL; degree = 4
while(is.null(llm) && (degree >= 1)){
llm <- tryCatch(fitPoisGlm(yy$counts, yy$mids, degree, offset = ofs),
error = function(e){}, warning = function(w){})
if(!is.null(llm) && llm$rank != ncol(llm$R)){
llm = NULL
}
degree = degree - 1
}
return(c(yy, list(g0 = g0, coef = llm$coef, n = n)))
}
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