R/ptanb.R

In TrigonometricDistribution/TanB: The TanB Distribution

#' The cumulative function of the Tangent Burr XII probability distribution.
#' @export
#'
#' @param q vector of quantiles.
#' @param c C parameter.
#' @param k K parameter.
#' @param s S parameter.
#' @param lower Lower parameter.
#' @param log.p Log.p parameter.
#' @return A vector with n observations of the Tangent Burr XII distribution.
#' @examples
#' ptanb(0.5, 32.5, 3, 3.5, TRUE, FALSE)
#' ptanb(0.5, 2, 3, 3, TRUE, FALSE)
#' @family Basic functions for the Tangent-Burr Type XII distribution

ptanb <- function(q, c, k, s, lower = TRUE, log.p = FALSE) {
    if (log.p == TRUE) {
        if (lower == TRUE) {
            log(tan((pi/4) * (1 - (1 + (q/s)^c)^(-k))))
        } else {
            log((1 - tan((pi/4) * (1 - (1 + (q/s)^c)^(-k)))))
        }
    } else {
        if (lower == TRUE) {
            tan((pi/4) * (1 - (1 + (q/s)^c)^(-k)))
        } else {
            (1 - tan((pi/4) * (1 - (1 + (q/s)^c)^(-k))))
        }
    }
    
}