| Weibull {base} | R Documentation |
The Weibull Distribution
Description
These functions provide information about the Weibull distribution
with parameters shape and scale. dweibull gives
the density, pweibull gives the distribution function,
qweibull gives the quantile function and rweibull
generates random deviates.
If scale is omitted it assumes the default value of 1.
The Weibull distribution with shape parameter a and
scale parameter b has density given by
f(x) =
(a/b) {(x/b)}^{a-1} \exp (-{(x/b)}^{a})
for x > 0.
Usage
dweibull(x, shape, scale = 1)
pweibull(q, shape, scale = 1)
qweibull(p, shape, scale = 1)
rweibull(n, shape, scale = 1)
Arguments
x, q |
vector of quantiles. |
p |
vector of probabilities. |
n |
number of observations to generate. |
shape, scale |
shape and scale parameters. |
See Also
dexp for the Exponential which is a special case of a
Weibull distribution.
Examples
x <- 1:10
all.equal(dweibull(x, shape = 1), dexp(x))
all.equal(pweibull(x, shape = 1, scale = pi), pexp(x, rate = 1/pi))
all.equal(qweibull(x/11, shape = 1, scale = pi), qexp(x/11, rate = 1/pi))