MultiHypergeometric function

Multivariate hypergeometric distribution

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

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

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 $k<=N$.

Examples

# Generating 10 random draws from multivariate hypergeometric
# distribution parametrized using a vector

rmvhyper(10, c(10, 12, 5, 8, 11), 33)

References

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

See Also

Hypergeometric