ptppn: Two-Piece Power Normal Distribution

In PSDistr: Distributions Derived from Normal Distribution

Two-Piece Power Normal Distribution

Description

Density, distribution function, quantile function and random generation for the two-piece power normal distribution with parameters teta, s1, s2 and c.

Usage

ptppn(x, teta, s1, s2, c)

Arguments

x	real argument
teta	position parameter
s1	positive scale parameter
s2	positive scale parameter
c	shape parameter (c>=1)

Details

Probability density function see formula (4) in the article Cumulative distribution function see formula (5) Quantile functon see formula (10) Random number generator see formula (21)

Value

The function returns the value of the cumulative distribution function for the two-piece power normal distribution.

Author(s)

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

References

Sulewski, P. (2021). Two-Piece Power Normal Distribution, Communications in Statistics - Theory and Method 50(11), 2619-2639.

Examples

dtppn(2,1,1,1,2)
ptppn(2,1,1,1,2)
qtppn(0.5,1,1,1,2)
rtppn(10,1,1,1,2)

PSDistr documentation built on Sept. 13, 2023, 5:07 p.m.