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)
hggamma(y, 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.

J.K. Lindsey