Fisher's Noncentral Hypergeometric Distribution
Probability theory, Statistics, Hypergeometric distribution
978-620-0-90476-8
6200904766
84
2012-03-17
34.00 €
eng
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Please note that the content of this book primarily consists of articles available from Wikipedia or other free sources online. Inprobability 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.
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