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- Fisher's_noncentral_hypergeometric_distribution abstract "In probability theory and statistics, Fisher's noncentral hypergeometric distribution is a generalization of the hypergeometric distribution where sampling probabilities are modified by weight factors. Fisher's noncentral hypergeometric distribution can also be defined as the conditional distribution of two or more binomially distributed variables dependent upon their fixed sum.The distribution may be illustrated by the following urn model. Assume, for example, that an urn contains m1 red balls and m2 white balls, totalling N = m1 + m2 balls. Each red ball has the weight ω1 and each white ball has the weight ω2. We will say that the odds ratio is ω = ω1 / ω2. Now we are taking balls randomly in such a way that the probability of taking a particular ball is proportional to its weight, but independent of what happens to the other balls. The number of balls taken of a particular color follows the binomial distribution. If the total number n of balls taken is known then the conditional distribution of the number of taken red balls for given n is Fisher's noncentral hypergeometric distribution. To generate this distribution experimentally, we have to repeat the experiment until it happens to give n balls.If we want to fix the value of n prior to the experiment then we have to take the balls one by one until we have n balls. The balls are therefore no longer independent. This gives a slightly different distribution known as Wallenius' noncentral hypergeometric distribution. It is far from obvious why these two distributions are different. See the entry for noncentral hypergeometric distributions for an explanation of the difference between these two distributions and a discussion of which distribution to use in various situations.The two distributions are both equal to the (central) hypergeometric distribution when the odds ratio is 1.Unfortunately, both distributions are known in the literature as "the" noncentral hypergeometric distribution. It is important to be specific about which distribution is meant when using this name.Fisher's noncentral hypergeometric distribution was first given the name extended hypergeometric distribution (Harkness, 1965), and some authors still use this name today.".
- Fisher's_noncentral_hypergeometric_distribution thumbnail FishersNoncentralHypergeometric1.png?width=300.
- Fisher's_noncentral_hypergeometric_distribution wikiPageExternalLink index.html.
- Fisher's_noncentral_hypergeometric_distribution wikiPageExternalLink mcmcpack.wustl.edu.
- Fisher's_noncentral_hypergeometric_distribution wikiPageExternalLink FisherHypergeometricDistribution.html.
- Fisher's_noncentral_hypergeometric_distribution wikiPageExternalLink random.
- Fisher's_noncentral_hypergeometric_distribution wikiPageExternalLink theory.
- Fisher's_noncentral_hypergeometric_distribution wikiPageID "11962384".
- Fisher's_noncentral_hypergeometric_distribution wikiPageRevisionID "605218171".
- Fisher's_noncentral_hypergeometric_distribution hasPhotoCollection Fisher's_noncentral_hypergeometric_distribution.
- Fisher's_noncentral_hypergeometric_distribution mean ", where".
- Fisher's_noncentral_hypergeometric_distribution mean "The mean μi of xi can be approximated by".
- Fisher's_noncentral_hypergeometric_distribution mean "where r is the unique positive solution to .".
- Fisher's_noncentral_hypergeometric_distribution mode ", where , , .".
- Fisher's_noncentral_hypergeometric_distribution name "Multivariate Fisher's Noncentral Hypergeometric Distribution".
- Fisher's_noncentral_hypergeometric_distribution name "Univariate Fisher's noncentral hypergeometric distribution".
- Fisher's_noncentral_hypergeometric_distribution pdf "where".
- Fisher's_noncentral_hypergeometric_distribution type "mass".
- Fisher's_noncentral_hypergeometric_distribution variance ", where Pk is given above.".
- Fisher's_noncentral_hypergeometric_distribution subject Category:Discrete_distributions.
- Fisher's_noncentral_hypergeometric_distribution subject Category:Probability_distributions.
- Fisher's_noncentral_hypergeometric_distribution type Abstraction100002137.
- Fisher's_noncentral_hypergeometric_distribution type Arrangement105726596.
- Fisher's_noncentral_hypergeometric_distribution type Cognition100023271.
- Fisher's_noncentral_hypergeometric_distribution type DiscreteDistributions.
- Fisher's_noncentral_hypergeometric_distribution type Distribution105729036.
- Fisher's_noncentral_hypergeometric_distribution type PsychologicalFeature100023100.
- Fisher's_noncentral_hypergeometric_distribution type Structure105726345.
- Fisher's_noncentral_hypergeometric_distribution comment "In probability theory and statistics, Fisher's noncentral hypergeometric distribution is a generalization of the hypergeometric distribution where sampling probabilities are modified by weight factors. Fisher's noncentral hypergeometric distribution can also be defined as the conditional distribution of two or more binomially distributed variables dependent upon their fixed sum.The distribution may be illustrated by the following urn model.".
- Fisher's_noncentral_hypergeometric_distribution label "Fisher's noncentral hypergeometric distribution".
- Fisher's_noncentral_hypergeometric_distribution sameAs m.02rzthn.
- Fisher's_noncentral_hypergeometric_distribution sameAs Q5454741.
- Fisher's_noncentral_hypergeometric_distribution sameAs Q5454741.
- Fisher's_noncentral_hypergeometric_distribution sameAs Fisher's_noncentral_hypergeometric_distribution.
- Fisher's_noncentral_hypergeometric_distribution wasDerivedFrom Fisher's_noncentral_hypergeometric_distribution?oldid=605218171.
- Fisher's_noncentral_hypergeometric_distribution depiction FishersNoncentralHypergeometric1.png.
- Fisher's_noncentral_hypergeometric_distribution isPrimaryTopicOf Fisher's_noncentral_hypergeometric_distribution.
