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Calculation Methods for Wallenius' Noncentral Hypergeometric Distribution

Communications in Statistics Part B: Simulation and Computation, 2008
Two different probability distributions are both known in the literature as "the" noncentral hypergeometric distribution. Wallenius' noncentral hypergeometric distribution can be described by an urn model without replacement with bias.
Agner Fog
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Distributions Related to the Hypergeometric Distribution

Theory of Probability & Its Applications, 1964
The concept of the simple sequential scheme [1] is extended to the case of samples without replacement from a finite universe. For these schemes the resulting probability distributions can be expressed by formula (8) in terms of the usual hypergeometric distribution.
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A Hypergeometric Distribution

1989
There are many instances wherein you use samples to help you make decisions, though not in the formal ways we shall be developing in this course. For example, the authors examine a box of strawberries in the supermarket and, seeing at most one or two berries with “spots”, buy the box. The other way around, a nut broker examines a handful of nuts from a
Hung T. Nguyen, Gerald S. Rogers
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Tables of the Hypergeometric Probability Distribution.

Mathematics of Computation, 1961
Gerald J. Lieberman and Donald B. Owen: Tables of the Hypergeometric Probability Distribution. California: Stanford University Press; London: Oxford University Press, 1961. Pp. vi + 726. ®6.
R. A. Bradley, Gerald J. Lieberman, Donald B. Owen   +2 more
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THE GAUSS HYPERGEOMETRIC FAMILY OF DISTRIBUTIONS

Advances and Applications in Statistics, 2018
Summary: In this paper, we propose a new family of distributions by using distribution function of Gauss hypergeometric function distribution. We have developed general expansion for the density function of the proposed family, and studied some basic properties of the proposed family of distributions.
Al-Sobhi, Mashail, Shahbaz, Saman H., Shahbaz, Muhammad Qaiser, Al-Zahrani, Bander   +3 more
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Approximating the negative hypergeometric distribution

International Journal of Wireless and Mobile Computing, 2014
An improvement to a suggested negative binomial approximation to the Negative Hypergeometric Distribution (NHGD) is advanced and the accuracy of this approximation is also quantified in terms of variation distance. The method to obtain the improved approximation is to expand the probability function of NHGD.
Dongping Hu, Aihua Yin
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Transform methods for the hypergeometric distribution

Statistics and Computing, 2004
Two new methods for computing with hypergeometric distributions on lattice points are presented. One uses Fourier analysis, and the other uses Grobner bases in the Weyl algebra. Both are very general and apply to log-linear models that are graphical or non-graphical.
Ian H. Dinwoodie, Laura Felicia Matusevich, Edward Mosteig   +2 more
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On Characterizing the Hypergeometric and Multivariate Hypergeometric Distributions

1975
Skibinsky characterized the classical univariate hypergeometric distribution in terms of the reproducibility of the binomial distribution with respect to sampling without replacement.
A. M. Nevill, C. D. Kemp
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On the negative hypergeometric distribution

International Journal of Mathematical Education in Science and Technology, 1987
A negative hypergeometric random variable, Yr, records the waiting time in trials until the rth success is obtained in repeated random sampling without replacement from a dichotomous population of N containing n ( ≥ r) successes S, and m failures F. In this paper we give a probability space for Yr and a representation of Yr in terms of exchangeable ...
Eugene F. Schuster, William R. Sype
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Concentration of the hypergeometric distribution

Statistics & Probability Letters, 2005
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Hush, Don, Scovel, Clint
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