pdsn: DS Normal Distribution

In PSDistr: Distributions Derived from Normal Distribution

DS Normal Distribution

Description

Density, distribution function, quantile function and random generation for the DS normal distribution with parameters a, b, c and d.

Usage

pdsn(x, a, b, c, teta)

Arguments

x	real argument
a	non-negative multipurpose parameter and a+b>0
b	non-negative multipurpose parameter and a+b>0
c	real multipurpose parameter
teta	real position parameter

Details

Probability density function in Latex see formula (5) in the paper Cumulative distribution function in Latex see formula (6) Quantile function see formulas (8,9,10) Random number generator see Theorem (5)

Value

The function returns the value of the cumulative distribution function for the DS normal distribution

Author(s)

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

References

Sulewski P. (2021). DS Normal Distribution: properties and applications. Lobachevskii Journal of Mathematics 42(12), 2980-2999.

Examples

ddsn(-0.5,2,2,2,0)
pdsn(-0.5,2,2,2,0)
qdsn(0.5,2,2,2,0)
rdsn(10,2,2,2,0)

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