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\name{Exponential}\title{The Exponential Distribution}\usage{dexp(x, rate = 1)pexp(q, rate = 1)qexp(p, rate = 1)rexp(n, rate = 1)}\alias{dexp}\alias{pexp}\alias{qexp}\alias{rexp}\arguments{\item{x q}{vector of quantiles}\item{p}{vector of probabilities}\item{n}{number of observations to generate}\item{rate}{vector of rates}}\value{These functions provide information about the exponential distributionwith rate \code{rate} (i.e., mean \code{1/rate}).\code{dexp} gives the density,\code{pexp} gives the distribution function,\code{qexp} gives the quantile functionand\code{rexp} generates random deviates.The exponential distribution with rate \eqn{\lambda} has density\deqn{f(x) = \lambda {e}^{- \lambda x}}{f(x) = lambda e^(- lambda x)}for \eqn{x \ge 0}.}\seealso{\code{\link{exp}}, \code{\link{dchisq}} for the chisquare and\code{\link{dweibull}} for the Weibull distribution which bothgeneralize the exponential.}\examples{dexp(1) - exp(-1) #-> 0r <- rexp(100)all(abs(1 - dexp(1, r) / (r*exp(-r))) < 1e-14)}\keyword{distribution}