Runuran (version 0.30)

udexp: UNU.RAN object for Exponential distribution

Description

Create UNU.RAN object for an Exponential distribution with rate rate (i.e., mean 1/rate).

[Distribution] -- Exponential.

Usage

udexp(rate=1, lb=0, ub=Inf)

Arguments

rate

(strictly positive) rate parameter.

lb

lower bound of (truncated) distribution.

ub

upper bound of (truncated) distribution.

Value

An object of class "unuran.cont".

Details

The Exponential distribution with rate \(\lambda\) has density $$ f(x) = \lambda {e}^{- \lambda x} $$ for \(x \ge 0\).

The domain of the distribution can be truncated to the interval (lb,ub).

References

N.L. Johnson, S. Kotz, and N. Balakrishnan (1994): Continuous Univariate Distributions, Volume 1. 2nd edition, John Wiley & Sons, Inc., New York. Chap. 19, p. 494.

See Also

'>unuran.cont.

Examples

# NOT RUN {
## Create distribution object for standard exponential distribution
distr <- udexp()
## Generate generator object; use method PINV (inversion)
gen <- pinvd.new(distr)
## Draw a sample of size 100
x <- ur(gen,100)

# }