#' @title \code{gammamix} class
#' @description gammamix class that describes \deqn{g() = sum_k pi_k gamma(shape, scale)}
#' @param pi A vector of mixture proportions.
#' @param shape A vector of shapes
#' @param scale A vector of scales
#'
#' @export
gammamix <- function(pi, shape, scale) {
structure(data.frame(pi = pi, shape = shape, scale = scale), class="gammamix")
}
scale2gammamix_init <- function(shape, scale){
n = length(shape)
return(gammamix(pi = replicate(n, 1)/n, shape = shape, scale = scale))
}
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