R: Generalized Gamma Distribution

Generalized Gamma {rmutil} | R Documentation

## Generalized Gamma Distribution

### Description

These functions provide information about the generalized gamma distribution 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 gamma distribution has density

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

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

f=1 yields a gamma distribution, s=1 a Weibull distribution, and s=infinity a log normal distribution.

### Usage

    dggamma(y, s, m, f, log=FALSE)
    pggamma(q, s, m, f)
    qggamma(p, s, m, f)
    rggamma(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

`dgamma` for the gamma distribution, `dweibull` for the Weibull distribution, `dlnorm` for the log normal distribution.

### Examples

    dggamma(2, 5, 4, 2)
    pggamma(2, 5, 4, 2)
    qggamma(0.75, 5, 4, 2)
    rggamma(10, 5, 4, 2)

[Package rmutil version 1.1.3 Index]