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A non-central multivariate hypergeometric distribution arising from biased sampling with application to selective predation

Published online by Cambridge University Press:  14 July 2016

Jean Chesson
Jean Chesson*
Affiliation:
Waite Agricultural Research Institute, University of Adelaide
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Abstract

Selective predation is an example of biased sampling which gives rise to a non-central multivariate hypergeometric distribution. The probability distribution function of this distribution is derived.

Keywords

BIASED SAMPLINGSELECTIVE PREDATIONNON-CENTRAL MULTIVARIATE HYPERGEOMETRIC DISTRIBUTION

Information

Type
Short Communications
Information
Journal of Applied Probability , Volume 13 , Issue 4 , December 1976 , pp. 795 - 797
Copyright
Copyright © Applied Probability Trust 1976 

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References

Chesson, J. (1974) Selective Predation. Unpublished Honours Thesis, University of Adelaide.Google Scholar
Manly, B. F. J., Miller, P. and Cook, L. M. (1972) Analysis of a selective predation experiment. Amer. Nat. 106, 719–736.Google Scholar
Wallenius, K. T. (1963) Biased Sampling; the Non-central Hypergeometric Probability Distribution. Ph.D. thesis, Stanford University. (Described in Johnson, N.L. and Kotz, S. (1969) Distributions in Statistics — Discrete Distributions. Houghton-Mifflin, New York.) Google Scholar