ppower: Returns CDF from EP Distribution

In Rsubbotools: Fast Estimation of Subbottin and AEP Distributions (Generalized Error Distribution)

Returns CDF from EP Distribution

Description

The ppower returns the Cumulative Distribution Function at point x for the Exponential Power distribution with parameters a, b and m.

Usage

ppower(x, m = 0, a = 1, b = 2)

Arguments

x	(numeric) - value in the range (-\infty, \infty) to evaluate the density.
m	(numeric) - location parameter. Must be in the range
a	(numeric) - scale parameter. Must be in the range (0, \infty).
b	(numeric) - shape parameter. Must be in the range (0, \infty). (-\infty, \infty).

Details

The Exponential Power distribution (EP) is given by the function:

f(a,b) = \frac{1}{2a\Gamma(1+1/b)}e^{-|(x-m)/a|^b}, -\infty < x < \infty

. where b is a shape parameter, a is a scale parameter, m is a location parameter and \Gamma represents the gamma function.

Value

a vector containing the values for the probabilities.

Rsubbotools documentation built on April 16, 2025, 5:10 p.m.