Runuran (version 0.21.0)

udbinom: 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.

Value

• An object of class "unuran.discr".

Details

The Binomial distribution with size $= n$ and prob $= p$ has probability mass function $$p(x) = {n \choose x} {p}^{x} {(1-p)}^{n-x}$$ for $x = 0, \ldots, n$.

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. Chap. 3, p. 105.

See Also

unuran.discr.

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)