Generalized Weibull {rmutil} | R Documentation |
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) = s f y^(s-1) (1-exp(-(y/m)^s))^(f-1) exp(-(y/m)^s)/m^s
where m is the scale parameter of the distribution, s is the shape, and f is the family parameter.
f=1 gives a Weibull distribution, for s=1, f<0 a generalized F distribution, and for s>0, f<=0 a Burr type XII distribution.
dgweibull(y, s, m, f, log=FALSE) pgweibull(q, s, m, f) qgweibull(p, s, m, f) hgweibull(y, s, m, f) rgweibull(n, s, m, f)
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. |
J.K. Lindsey
dweibull
for the Weibull distribution,
df
for the F distribution,
dburr
for the Burr distribution.
dgweibull(5, 1, 3, 2) pgweibull(5, 1, 3, 2) qgweibull(0.65, 1, 3, 2) rgweibull(10, 1, 3, 2)