R: Power Exponential Distribution

PowerExponential {rmutil} | R Documentation

## Power Exponential Distribution

### Description

These functions provide information about the power exponential distribution with mean parameter equal to `m`, dispersion equal to `s`, and family parameter equal to `f`: density, cumulative distribution, quantiles, log hazard, and random generation.

The power exponential distribution has density

f(y) = exp(-(abs(y-m)/sqrt(s))^(2 f)/2)/ (sqrt(s) Gamma(1+1/(2 f)) 2^(1+1/(2 f)))

where m is the mean of the distribution, s is the dispersion, and f is the family parameter. f=1 yields a normal distribution, f=0.5 a Laplace distribution, and f=Inf a uniform distribution.

### Usage

    dpowexp(y, m=0, s=1, f=1, log=FALSE)
    ppowexp(q, m=0, s=1, f=1)
    qpowexp(p, m=0, s=1, f=1)
    rpowexp(n, m=0, s=1, f=1)

### Arguments

`y` | vector of responses.
`q` | vector of quantiles.
`p` | vector of probabilities
`n` | number of values to generate
`m` | vector of means.
`s` | vector of dispersion parameters.
`f` | vector of family parameters.
`log` | if TRUE, log probabilities are supplied.

### Author(s)

J.K. Lindsey

### Examples

    dpowexp(5, 5, 1, 2)
    ppowexp(5, 5, 1, 2)
    qpowexp(0.5, 5, 1, 2)
    rpowexp(10, 5, 1, 2)

[Package rmutil version 1.1.3 Index]