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#' #' Extension of the binomial distribution to allow real values for size and x
#' #'
#' #' @param x
#' #' @param size
#' #' @param prob
#' #'
#' #' @return
#' #' @export
#' #'
#' #' @examples
#' dbinomc <- function(x, size, prob){
#' if(x>size) stop("x greater than size")
#' if(x<0) stop("x must be positive")
#'
#' A <- x*log(prob) + (size-x)*log(1-prob)
#' B <- lgamma(size+1)-lgamma(x+1)-lgamma(size-x+1)
#'
#' logdens <- A+B
#' return(exp(logdens))
#'
#' }
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