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On the Genealogy of Large Populations

J. F. C. Kingman
Journal of Applied Probability
Vol. 19, Essays in Statistical Science (1982), pp. 27-43
DOI: 10.2307/3213548
Stable URL: http://www.jstor.org/stable/3213548
Page Count: 17
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On the Genealogy of Large Populations
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Abstract

A new Markov chain is introduced which can be used to describe the family relationships among n individuals drawn from a particular generation of a large haploid population. The properties of this process can be studied, simultaneously for all n, by coupling techniques. Recent results in neutral mutation theory are seen as consequences of the genealogy described by the chain.

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