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% File src/library/stats/man/Weibull.Rd
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% File src/library/stats/man/Weibull.Rd
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% Part of the R package, http://www.R-project.org
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% Part of the R package, http://www.R-project.org
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% Copyright 1995-2009 R Core Team
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% Copyright 1995-2013 R Core Team
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% Distributed under GPL 2 or later
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% Distributed under GPL 2 or later
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\name{Weibull}
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\name{Weibull}
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\alias{Weibull}
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\alias{Weibull}
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\alias{dweibull}
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\alias{dweibull}
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  \code{pweibull} gives the distribution function,
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  \code{pweibull} gives the distribution function,
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  \code{qweibull} gives the quantile function, and
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  \code{qweibull} gives the quantile function, and
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  \code{rweibull} generates random deviates.
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  \code{rweibull} generates random deviates.
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  Invalid arguments will result in return value \code{NaN}, with a warning.
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  Invalid arguments will result in return value \code{NaN}, with a warning.
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  The length of the result is determined by \code{n} for
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  \code{rweibull}, and is the maximum of the lengths of the
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  numerical parameters for the other functions.
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  The numerical parameters other than \code{n} are recycled to the
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  length of the result.  Only the first elements of the logical
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  parameters are used.
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}
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}
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\details{
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\details{
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  The Weibull distribution with \code{shape} parameter \eqn{a} and
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  The Weibull distribution with \code{shape} parameter \eqn{a} and
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  \code{scale} parameter \eqn{\sigma}{b} has density given by
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  \code{scale} parameter \eqn{\sigma}{b} has density given by
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  \deqn{f(x) = (a/\sigma) {(x/\sigma)}^{a-1} \exp (-{(x/\sigma)}^{a})}{f(x) = (a/b) (x/b)^(a-1) exp(- (x/b)^a)} for \eqn{x > 0}.
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  \deqn{f(x) = (a/\sigma) {(x/\sigma)}^{a-1} \exp (-{(x/\sigma)}^{a})}{f(x) = (a/b) (x/b)^(a-1) exp(- (x/b)^a)} for \eqn{x > 0}.