udexp function

UNU.RAN object for Exponential distribution

UNU.RAN object for Exponential distribution

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

[Distribution] -- Exponential.

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.

Details

The Exponential distribution with rate λ\lambda has density

f(x)=λeλxf(x)=lambdaexp(lambdax) f(x) = \lambda {e}^{- \lambda x}f(x) = lambda exp(-lambda x)

for x0x \ge 0.

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

Returns

An object of class "unuran.cont".

See Also

unuran.cont.

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.

Author(s)

Josef Leydold and Wolfgang H"ormann unuran@statmath.wu.ac.at .

Examples

## 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)
  • Maintainer: Josef Leydold
  • License: GPL (>= 2)
  • Last published: 2025-04-07