Hostname: page-component-78c5997874-fbnjt Total loading time: 0 Render date: 2024-11-18T19:25:01.934Z Has data issue: false hasContentIssue false
  • English
  • Français

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
Get access Rights & Permissions [Opens in a new window]

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 

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

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 Unpublished M.A. thesis.Google Scholar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