deck {PSDistr}

Easily Changeable Kurtosis Distribution

Description

Density, distribution function, quantile function and random generation for the Easily Changeable Kurtosis Distribution with parameters a and p.

Usage

deck(x, a, p)

Arguments

x

-a<x<a for -1<p<0 or -a<=x<=a for p>=1

a

positive scale parameter

p

shape parameter: p>-1

Details

Probability density function see formula (1) or (3) in the article Cumulative distribution function see formula (4) Quantile functon see formula (20) Random number generator see formula (41)

Value

The function returns the value of the probability density function for the Easily Changeable Kurtosis Distribution.

Author(s)

Piotr Sulewski, [e-mail], Pomeranian UNiwersity in Slupsk.

References

Sulewski, P. (2022). Easily Changeable Kurtosis Distribution. Austrian Journal of Statistics 52, 1-24.

Examples

deck(1,2,3)
peck(1,2,3)
qeck(0.5,2,3)
reck(10,2,3)