Important and commonly encountered univariate probability distributions include the binomial distribution, the hypergeometric distribution, and the normal distribution.
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:This is a hypergeometric distribution.
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Other examples of distributions that are not exponential families are the F-distribution, Cauchy distribution, hypergeometric distribution and logistic distribution.
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:: I think this might be helpful to you Hypergeometric distribution---- ferret 22 : 36, 31 January 2013 ( UTC)
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In other words, the negative hypergeometric distribution describes the likelihood of k successes in a sample with exactly R failures.
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The negative hypergeometric distribution, NHG _ { N, K, R } ( k ) is the discrete distribution of this k.
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Fisher's noncentral hypergeometric distribution is used mostly for tests in contingency tables where a conditional distribution for fixed margins is desired.
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The description of urn models is complicated by the fact that there is " more than one noncentral hypergeometric distribution ".
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While the exponential distribution is the continuous analogue of the geometric distribution, the hyperexponential distribution is not analogous to the hypergeometric distribution.
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:: In case the OP is interested in reading more about such probability settings and analysis, Wikipedia has an article on hypergeometric distribution.
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