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% File src/library/stats/man/Poisson.Rd
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% File src/library/stats/man/Poisson.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{Poisson}
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\name{Poisson}
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\alias{Poisson}
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\alias{Poisson}
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\alias{dpois}
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\alias{dpois}
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  \code{ppois} gives the (log) distribution function,
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  \code{ppois} gives the (log) distribution function,
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  \code{qpois} gives the quantile function, and
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  \code{qpois} gives the quantile function, and
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  \code{rpois} generates random deviates.
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  \code{rpois} generates random deviates.
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  Invalid \code{lambda} will result in return value \code{NaN}, with a warning.
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  Invalid \code{lambda} 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{rpois}, 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 Poisson distribution has density
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  The Poisson distribution has density
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%-- please leave the linebreaking for the next two ! --
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%-- please leave the linebreaking for the next two ! --
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  \deqn{p(x) = \frac{\lambda^x e^{-\lambda}}{x!}}{p(x) = \lambda^x exp(-\lambda)/x!}
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  \deqn{p(x) = \frac{\lambda^x e^{-\lambda}}{x!}}{p(x) = \lambda^x exp(-\lambda)/x!}