Runuran (version 0.40)

udgeom: UNU.RAN object for Geometric distribution

Description

Create UNU.RAN object for a Geometric distribution with parameter prob.

[Distribution] -- Geometric.

Usage

udgeom(prob, lb = 0, ub = Inf)

Value

An object of class "unuran.discr".

Arguments

prob

probability of success in each trial. 0 < prob <= 1.

lb

lower bound of (truncated) distribution.

ub

upper bound of (truncated) distribution.

Author

Josef Leydold and Wolfgang H\"ormann .

Details

The Geometric distribution with prob \(= p\) has density $$p(x) = p (1-p)^x$$ for \(x = 0, 1, 2, \ldots\), \(0 < p \le 1\).

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

References

N.L. Johnson, S. Kotz, and A.W. Kemp (1992): Univariate Discrete Distributions. 2nd edition, John Wiley & Sons, Inc., New York. Sect. 5.2, p. 201

Examples

## Create distribution object for Geometric distribution
dist <- udgeom(prob=0.33)
## Generate generator object; use method DARI
gen <- darid.new(dist)
## Draw a sample of size 100
x <- ur(gen,100)