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On a conjecture of G. A. Watterson

Published online by Cambridge University Press:  01 July 2016

A. C. Trajstman
A. C. Trajstman*
Affiliation:
Monash University
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Abstract

It is shown that two different population models are equivalent to each other when a certain marginal stationary distribution is considered.

Keywords

MODEL EQUIVALENCEMARGINAL STATIONARY DISTRIBUTION
Type
Research Article
Information
Advances in Applied Probability , Volume 6 , Issue 3 , September 1974 , pp. 489 - 493
Copyright
Copyright © Applied Probability Trust 1974 

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References

Ewens, W. J. (1972) The sampling theory of selectively neutral alleles. Theor. Pop. Biol. 3, 87–112.CrossRefGoogle ScholarPubMed
Karlin, S. and McGregor, J. (1962) On a genetics model of Moran. Proc. Camb. Phil. Soc. 58, 299–311.CrossRefGoogle Scholar
Karlin, S. and McGregor, J. (1964) On some stochastic models in genetics. Stochastic Models in Medicine and Biology. University of Wisconsin Press. 245–271.Google Scholar
Karlin, S. and McGregor, J. (1967) The number of mutant forms maintained in a population. Proc. 5th. Berkeley Symp. Math. Statist. Prob. 4, 415–438. University of California Press.Google Scholar
Moran, P. A. P. (1958) Random processes in genetics. Proc. Camb. Phil. Soc. 54, 60–72.CrossRefGoogle Scholar
Trajstman, A. C. (1973) The necessity of the Poisson distribution for the equivalence of some random mating models. Math. Biosci. 17, 1–10.CrossRefGoogle Scholar
Watterson, G. A. (1974) The sampling theory of selectively neutral alleles. Adv. Appl. Prob. 6, 463–488.CrossRefGoogle Scholar