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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
Published by: Applied Probability Trust
Stable URL: http://www.jstor.org/stable/3213548
Page Count: 17
You can always find the topics here!Topics: Genealogy, Equivalence relation, Genetic mutation, Markov chains, Probabilities, Population size, Alleles, Population genetics, Parents, Population distributions
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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.
Journal of Applied Probability © 1982 Applied Probability Trust