R: Generalized Weibull Distribution

Generalized Weibull {rmutil} | R Documentation

## Generalized Weibull Distribution

### Description

These functions provide information about the generalized Weibull distribution, also called the exponentiated Weibull, with scale parameter equal to `m`, shape equal to `s`, and family parameter equal to `f`: density, cumulative distribution, quantiles, log hazard, and random generation.

The generalized Weibull distribution has density

f(y) = s f y^(s-1) (1-exp(-(y/m)^s))^(f-1) exp(-(y/m)^s)/m^s

where m is the scale parameter of the distribution, s is the shape, and f is the family parameter.

f=1 gives a Weibull distribution, for s=1, f<0 a generalized F distribution, and for s>0, f<=0 a Burr type XII distribution.

### Usage

    dgweibull(y, s, m, f, log=FALSE)
    pgweibull(q, s, m, f)
    qgweibull(p, s, m, f)
    rgweibull(n, s, m, f)

### Arguments

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

### Author(s)

J.K. Lindsey

### See Also

`dweibull` for the Weibull distribution, `df` for the F distribution, `dburr` for the Burr distribution.

### Examples

    dgweibull(5, 1, 3, 2)
    pgweibull(5, 1, 3, 2)
    qgweibull(0.65, 1, 3, 2)
    rgweibull(10, 1, 3, 2)

[Package rmutil version 1.1.3 Index]