Generalized Weibull {rmutil} | R Documentation |
Generalized Weibull Distribution
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
: density, cumulative distribution,
quantiles, log hazard, 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
dgweibull(y, s, m, f, log=FALSE)
pgweibull(q, s, m, f)
qgweibull(p, s, m, f)
rgweibull(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. |
Author(s)
J.K. Lindsey
See Also
dweibull
for the Weibull distribution,
df
for the F distribution,
dburr
for the Burr distribution.
Examples
dgweibull(5, 1, 3, 2)
pgweibull(5, 1, 3, 2)
qgweibull(0.65, 1, 3, 2)
rgweibull(10, 1, 3, 2)