# MultiHypergeometric: Multivariate hypergeometric distribution In extraDistr: Additional Univariate and Multivariate Distributions

## Description

Probability mass function and random generation for the multivariate hypergeometric distribution.

## Usage

 ```1 2 3``` ```dmvhyper(x, n, k, log = FALSE) rmvhyper(nn, n, k) ```

## Arguments

 `x` m-column matrix of quantiles. `n` m-length vector or m-column matrix of numbers of balls in m colors. `k` the number of balls drawn from the urn. `log` logical; if TRUE, probabilities p are given as log(p). `nn` number of observations. If `length(n) > 1`, the length is taken to be the number required.

## Details

Probability mass function

f(x) = prod(choose(n, x)) / choose(N, k)

The multivariate hypergeometric distribution is generalization of hypergeometric distribution. It is used for sampling without replacement k out of N marbles in m colors, where each of the colors appears n[i] times. Where k=sum(x), N=sum(n) and k<=N.

## References

Gentle, J.E. (2006). Random number generation and Monte Carlo methods. Springer.

`Hypergeometric`
 ```1 2 3 4``` ```# Generating 10 random draws from multivariate hypergeometric # distribution parametrized using a vector rmvhyper(10, c(10, 12, 5, 8, 11), 33) ```