hgweibull: Log Hazard Function for a Generalized Weibull Process

In event: Event History Procedures and Models

Log Hazard Function for a Generalized Weibull Process

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

The generalized Weibull distribution has density

f(y) = \frac{\sigma \nu y^{\sigma-1} (1-\exp(-(y/\mu)^\sigma))^{\nu-1} \exp(-(y/\mu)^\sigma)}{\mu^\sigma}

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

\nu=1 gives a Weibull distribution, for \sigma=1, \nu<0 a generalized F distribution, and for \sigma>0, \nu\leq0 a Burr type XII distribution.

Usage

hgweibull(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(s)

J.K. Lindsey

See Also

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

Examples

hgweibull(5, 1, 3, 2)

event documentation built on Feb. 16, 2026, 5:08 p.m.