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.
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References
Ewens, W. J.: The sampling theory of selectively neutral alleles. Theoret Population Biology 3, 87–112 (1972)
Karlin, S., McGregor, J.: Addendum to a paper of W. Ewens. Theoret Population Biology 3, 113–116 (1972)
Kingman, J. F. C.: Mathematics of Genetic Diversity, SIAM, Washington (1980)
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Research supported in part by NSF Grant MCS-8108689
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Hoppe, F.M. Pólya-like urns and the Ewens' sampling formula. J. Math. Biology 20, 91–94 (1984). https://doi.org/10.1007/BF00275863
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DOI: https://doi.org/10.1007/BF00275863