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.

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)

See Also

dexp for the Exponential which is a special case of a Weibull distribution.

Examples

x <- 1:10
dweibull(x, shape = 1) == dexp(x)
pweibull(x, shape = 1, scale = pi) == pexp(x, rate = 1/pi)
qweibull(x/11, shape = 1, scale = pi) == qexp(x/11, rate = 1/pi)