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Another approach to some Markov chain models in population genetics

Published online by Cambridge University Press:  14 July 2016

Jostein Lillestøl
Jostein Lillestøl*
Affiliation:
The Norwegian School of Economics and Business Administration
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Extract

This paper treats the well known model of sib mating of individuals with autosomal genes; a single locus is studied. The general derivations are valid for any number of alleles. At the end of the paper, some simple examples are included; here several familiar results concerning models for two alleles are obtained as special cases of the general theory.

Type
Research Papers
Information
Journal of Applied Probability , Volume 5 , Issue 1 , April 1968 , pp. 9 - 20
Copyright
Copyright © Sheffield: Applied Probability Trust 

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References

[1] Karlin, S. (1966) A First Course in Stochastic Processes. Academic Press, 383–385.Google Scholar
[2] Li, C. C. (1955) Population Genetics. University of Chicago Press.Google Scholar
[3] Lillestøl, J. (1966) Studies on some Marginal Distributions of Markov Chains in Population Genetics. Unpublished M.A. thesis.Google Scholar
[4] Reiersøl, O. (1962) Path Coefficients, Moments of Moments and Expectations of Expectations in Population Genetics. Oslo University Press.Google Scholar
[5] Reiersøl, O. (1962) Applications of Markov Chains to Population Genetics. Mimeographed.Google Scholar
[6] Wright, S. (1921) Systems of mating I-V. Genetics 6, 111–178.CrossRefGoogle Scholar