

   TThhee WWeeiibbuullll DDiissttrriibbuuttiioonn

        dweibull(x, shape, scale = 1)
        pweibull(q, shape, scale = 1)
        qweibull(p, shape, scale = 1)
        rweibull(n, shape, scale = 1)

   AArrgguummeennttss::

        x,q: vector of quantiles.

          p: vector of probabilities.

          n: number of observations to generate.

   shape,scale: shape and scale parameters.

   DDeessccrriippttiioonn::

        These functions provide information about the Weibull
        distribution with parameters `shape' and `scale'.
        `dweibull' gives the density, `pweibull' gives the dis-
        tribution function, `qweibull' gives the quantile func-
        tion 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.

   SSeeee AAllssoo::

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

   EExxaammpplleess::

        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)

