These functions provide information about the generalized logistic
distribution with location parameter equal to m
, dispersion equal
to s
, and family parameter equal to f
: density,
cumulative distribution, quantiles, log hazard, and random generation.
The generalized logistic distribution has density
$$
f(y) =
\frac{\nu \sqrt{3} \exp(-\sqrt{3} (y-\mu)/(\sigma \pi))}{
\sigma \pi (1+\exp(-\sqrt{3} (y-\mu)/(\sigma \pi)))^{\nu+1}}$$
where \(\mu\) is the location parameter of the distribution,
\(\sigma\) is the dispersion, and \(\nu\) is the family
parameter.
\(\nu=1\) gives a logistic distribution.