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.
hgweibull(y, s, m, f)vector of responses.
vector of location parameters.
vector of dispersion parameters.
vector of family parameters.
J.K. Lindsey