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Journal of Mathematical Biology

, Volume 20, Issue 1, pp 91–94 | Cite as

Pólya-like urns and the Ewens' sampling formula

  • Fred M. Hoppe
Article

Abstract

A Markov process of partitions of the natural numbers is constructed by defining a Pólya-like urn model. The marginal distributions of this process are the Ewens' sampling distributions of population genetics.

Key words

Ewens' sampling formula Random partitions population genetics Pólya urn 

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References

  1. 1.
    Ewens, W. J.: The sampling theory of selectively neutral alleles. Theoret Population Biology 3, 87–112 (1972)Google Scholar
  2. 2.
    Karlin, S., McGregor, J.: Addendum to a paper of W. Ewens. Theoret Population Biology 3, 113–116 (1972)Google Scholar
  3. 3.
    Kingman, J. F. C.: Mathematics of Genetic Diversity, SIAM, Washington (1980)Google Scholar

Copyright information

© Springer-Verlag 1984

Authors and Affiliations

  • Fred M. Hoppe
    • 1
  1. 1.Departments of Mathematics and StatisticsThe University of MichiganAnn ArborUSA

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