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The Exponential Distribution

Usage

dexp(x, rate = 1)
pexp(q, rate = 1)
qexp(p, rate = 1)
rexp(n, rate = 1)

Arguments

x q vector of quantiles
p vector of probabilities
n number of observations to generate
rate vector of rates

Value

These functions provide information about the exponential distribution with rate rate (i.e., mean 1/rate). dexp gives the density, pexp gives the distribution function, qexp gives the quantile function and rexp generates random deviates.

The exponential distribution with rate &lambda has density

f(x) = lambda e^(- lambda x)

for x >= 0.

See Also

exp, dchisq for the chisquare and dweibull for the Weibull distribution which both generalize the exponential.

Examples

dexp(1) - exp(-1) #-> 0
r <- rexp(100)
all(abs(1 - dexp(1, r) / (r*exp(-r))) < 1e-14)