#' The quantile function of the CosWeibull probability distribution.
#' @export
#' @family Cosine-Weibull distribution utilities
#'
#' @param p Vector of probabilities.
#' @param alpha Alpha parameter.
#' @param lambda Lambda parameter.
#' @param lower Lower parameter.
#' @param log.p Log.p parameter.
#' @return A vector with n observations of the CosWeibull distribution.
#' @examples
#' qcosw(1, 1, 1, TRUE, FALSE)
#' qcosw(1, 1, 0.1, TRUE, FALSE)
qcosw<-function(p,alpha = 1,lambda,lower = TRUE,log.p = FALSE){
if (alpha == 1){
if (log.p == TRUE) {
if (lower == TRUE){
y=(acos(1-p))
log((-1/lambda)*(log((1-((2/pi)*y))))^(1/alpha))
}else{
y=(acos(p))
log((-1/lambda)*(log((1-((2/pi)*y))))^(1/alpha))
}
} else {
if (lower == TRUE){
y=(acos(1-p))
(-1/lambda)*(log((1-((2/pi)*y))))^(1/alpha)
}else{
y=(acos(p))
(-1/lambda)*(log((1-((2/pi)*y))))^(1/alpha)
}
}
}else{
print("The default value for the alpha parameter must be equal to 1.")
}
}
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