MultivariateHypergeometricDistribution

MultivariateHypergeometricDistribution[n,{m1,m2,,mk}]
represents a multivariate hypergeometric distribution with n draws without replacement from a collection containing objects of type i.

DetailsDetails

  • The probability for a vector of non-negative integers , , , in a multinomial distribution is proportional to product_(i=1)^kTemplateBox[{{m, _, i}, {x, _, i}}, Binomial] given that .
  • The numbers can be any non-negative integers and n any positive integer less than or equal to .
  • The number of trials n can be any positive integer and any non-negative integer.
  • MultivariateHypergeometricDistribution 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 and variance:

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Covariance:

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Introduced in 2010
(8.0)