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The redundant hypergeometric distribution
International Journal of Mathematical Education in Science and Technology, 1987The redundant hypergeometric distribution results from a model similar to that for the ordinary hypergeometric, but where selections are made ‘redundantly’. The distribution has applications in the area of statistical physics. However, the probability function is elementary and standard properties may be derived by familiar techniques.
J. C. W. Rayner, J. A. Shanks
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A Characterization of Hypergeometric Distributions
Journal of the American Statistical Association, 1970Abstract A theorem, that mixtures with binomial mixing distribution which are themselves binomial characterize the hypergeometric family of distributions, is displayed in various forms (the theorem and three equivalent restatements). These exhibit the fact that the property in question is related in a fundamental way to properties of moment sequences ...
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A REGRESSION CHARACTERISATION OF THE MEIXNER HYPERGEOMETRIC DISTRIBUTION
Australian Journal of Statistics, 1995SummaryThe paper describes the Meixner hypergeometric distribution, characterised by properties of the regression of products of linear transformations of random variables with respect to residuals.
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An accurate computation of the hypergeometric distribution function
ACM Transactions on Mathematical Software, 1993The computation of the cumulative hypergeometric distribution function is of interest to many researchers who are working in the computational sciences and related areas. Presented here is a new method for computing this function that applies prime number factorization to the factorials.
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Machine Solving on Hypergeometric Distribution Problems
2018Hypergeometric distribution is one of the most important mathematical models in probabilistic subjects, and also an integral part of the intelligent tutoring system based on automatic machine solving. In this paper, we propose a set of solutions to automatically solve the Hypergeometric distribution problems.
Chao Sun, Yao Su 0004, Xinguo Yu
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Extended Hypergeometric and Confluent Hypergeometric Functions
Applied Mathematics and Computation, 2004Asghar Qadir +2 more
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