The Weibull Distribution

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.

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.

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)

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