udbinom: UNU.RAN object for Binomial distribution
In Runuran: R Interface to the 'UNU.RAN' Random Variate Generators

udbinom

R Documentation

UNU.RAN object for Binomial distribution

Description

Create UNU.RAN object for a Binomial distribution with parameters size and prob.

[Distribution] – Binomial.

Usage

udbinom(size, prob, lb=0, ub=size)

Arguments

`size`	number of trials (one or more).
`prob`	probability of success on each trial.
`lb`	lower bound of (truncated) distribution.
`ub`	upper bound of (truncated) distribution.

Details

The Binomial distribution with size = n and prob = p has probability mass function

p(x) = choose(n,x) p^x (1-p)^(n-x)

for x = 0, …, n.

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

Value

An object of class "unuran.discr".

Author(s)

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

References

N.L. Johnson, S. Kotz, and A.W. Kemp (1992): Univariate Discrete Distributions. 2nd edition, John Wiley & Sons, Inc., New York. Chap. 3, p. 105.

Examples

## Create distribution object for Binomial distribution
dist <- udbinom(size=100, prob=0.33)
## Generate generator object; use method DGT (inversion)
gen <- dgtd.new(dist)
## Draw a sample of size 100
x <- ur(gen,100)

Runuran documentation built on Jan. 17, 2023, 5:17 p.m.