# pskew: Cumulative distribution function of skewed symmetric model. In gendist: Generated Probability Distribution Models

## Description

Computes cdf of the skewed symmetric model.

## Usage

 1 pskew(q, spec1, arg1, spec2, arg2, lower.tail = TRUE, log.p = FALSE) 

## Arguments

 q scale or vector of values to compute the cdf. spec1 a character string specifying the parent distribution g(x) (for example, "norm" if the parent distribution corresponds to the normal). arg1 list of arguments/parameters of the parent distribution g(x). spec2 a character string specifying the parent distribution H(x) (for example, "logis" if the parent distribution corresponds to the logistic). arg2 list of arguments/parameters of the parent distribution H(x). lower.tail logical; if TRUE, cdf are returned, otherwise 1-cdf. log.p logical; if TRUE, probabilities returned are given as log(cdf).

## Details

The cdf of skewed symmetric model has a general form of:

F(x) = \int_{-∞}^{x} 2 h(y) G(y) dy, \quad -∞ < x < ∞

where h(x) and G(x) are the pdf and cdf of parent distributions, respectively.

## Value

An object of the same length as q, giving the cdf values computed at q.

## Author(s)

Shaiful Anuar Abu Bakar

## References

S.A. Abu Bakar, S. Nadarajah, Z.A. ABSL Kamarul Adzhar, I. Mohamed. gendist: An R package for generated probability distribution models, submitted.
Azzalini, A. (1985). A class of distributions which includes the normal ones. Scandinavian journal of statistics, 171-178.

## Examples

 1 2 3 x=runif(10, min=0, max=1) y=pskew(x, spec1="norm", arg1=list(mean=0,sd=1), spec2="logis", arg2=list(location=0,scale=2) ) 

gendist documentation built on May 30, 2017, 12:32 a.m.