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event (version 1.1.1)

hggamma: Log Hazard Function for a Generalized Gamma Process

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: log hazard. (See `rmutil` for the d/p/q/r boxcox functions density, cumulative distribution, quantiles, and random generation).

The generalized gamma distribution has density $$ f(y) = \frac{\nu y^{\nu-1}} {(\mu/\sigma)^{\nu\sigma} Gamma(\sigma)} y^{\nu(\sigma-1)} \exp(-(y \sigma/\mu)^\nu)$$

where \(\mu\) is the scale parameter of the distribution, \(\sigma\) is the shape, and \(\nu\) is the family parameter.

\(\nu=1\) yields a gamma distribution, \(\sigma=1\) a Weibull distribution, and \(\sigma=\infty\) a log normal distribution.

Usage

hggamma(y, s, m, f)

Arguments

y

vector of responses.

m

vector of location parameters.

s

vector of dispersion parameters.

f

vector of family parameters.

Author

J.K. Lindsey

See Also

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

Examples

Run this code
hggamma(2, 5, 4, 2)

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