BUILT-IN MATHEMATICA SYMBOL

# WalleniusHypergeometricDistribution

WalleniusHypergeometricDistribution[n, nsucc, ntot, w]
represents a Wallenius noncentral hypergeometric distribution.

## DetailsDetails

• A Wallenius hypergeometric distribution gives the distribution of the number of successes in n dependent draws from a population of size containing successes with the odds ratio w.
• The probability for integer value in a Wallenius hypergeometric distribution is equal to where .
• WalleniusHypergeometricDistribution allows n, , and to be any integers such that , , and w is any positive real number.
• WalleniusHypergeometricDistribution can be used with such functions as Mean, CDF, and RandomVariate.

## ExamplesExamplesopen allclose all

### Basic Examples (4)Basic Examples (4)

Probability density function:

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Cumulative distribution function:

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Mean does not have closed form but can be obtained numerically:

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Variance does not have closed form but can be obtained numerically:

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