#' @export
#'
#' @rdname dpaircase
#'
#' @param p A \code{numeric} vector providing the probability mass function, or
#' empirical frequencies, of pairwise distances.
dempiric <- function(p, pi, alpha = 0.001) {
pi <- check_one_proba(pi)
alpha <- check_one_proba(alpha)
p <- check_pmf(p)
max_kappa <- get_max_kappa(pi, alpha)
weights <- get_weights(pi, max_kappa)
distributions <- convolve_empirical(p, max_kappa, TRUE)
out <- distributions %*% weights
return(as.vector(out))
}
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