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.

If rate is not specified, it assumes the default value of 1.

The exponential distribution with rate &lambda has density

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

for x >= 0.

See Also

exp for the exponential function, dgamma for the gamma distribution and dweibull for the Weibull distribution, both of which generalize the exponential.

Examples

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

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