urbinom function

UNU.RAN Binomial random variate generator

UNU.RAN random variate generator for the Binomial distribution with parameters size and prob. It also allows sampling from the truncated distribution.

[Special Generator] -- Sampling Function: Binomial.

urbinom(n, size, prob, lb = 0, ub = size)

Arguments

• n: size of required sample.
• 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 density

for $x = 0, \ldots, n$.

The generation algorithm uses guide table based inversion. The parameters lb and ub can be used to generate variates from the Binomial distribution truncated to the interval (lb,ub).

See Also

runif and .Random.seed about random number generation, unuran for the UNU.RAN class, and rbinom for the built-in generator.

References

W. H"ormann, J. Leydold, and G. Derflinger (2004): Automatic Nonuniform Random Variate Generation. Springer-Verlag, Berlin Heidelberg

Author(s)

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

Note

This function is a wrapper for the UNU.RAN class in . Compared to rbinom, urbinom is faster, especially for larger sample sizes. However, in opposition to rbinom vector arguments are ignored, i.e. only the first entry is used.

Examples

## Create a sample of size 1000 from the binomial distribution 
x <- urbinom(n=1000,size=10,prob=0.3)