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#' @title Random Variable From an Exponential Distribution
#'
#' @description Generate random numbers
#' from an exponential distribution,
#' rescaled to have user-specified
#' population mean and standard
#' deviation.
#'
#' @details
#' First, specify the parameter,
#' `rate`, and the
#' desired population mean and standard
#' deviation. The random numbers, drawn
#' from an exponential distribution by
#' [stats::rexp()], will then be
#' rescaled with the desired population
#' mean and standard.
#'
#' @param n The number of random numbers
#' to generate.
#'
#' @param rate `rate` for [stats::rexp()].
#'
#' @param pmean Population mean.
#'
#' @param psd Population standard
#' deviation.
#'
#' @param rev If TRUE, the distribution
#' is revered to generate a negatively
#' skewed distribution. Default is
#' FALSE.
#'
#' @return
#' A vector of the generated
#' random numbers.
#'
#' @examples
#' set.seed(90870962)
#' x <- rexp_rs(n = 5000,
#' rate = 4,
#' pmean = 3,
#' psd = 1)
#' mean(x)
#' sd(x)
#' hist(x)
#'
#' @export
rexp_rs <- function(n = 10,
rate = 1,
pmean = 0,
psd = 1,
rev = FALSE) {
bmean <- 1 / rate
bsd <- 1 / rate
x <- stats::rexp(n, rate)
if (!rev) {
x <- pmean + psd * (x - bmean) / bsd
} else {
x <- pmean - psd * (x - bmean) / bsd
}
x
}
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