The coalescent

J. F. C. Kingman

Stochastic Processes and their Applications, 1982, vol. 13, issue 3, 235-248

Abstract: The n-coalescent is a continuous-time Markov chain on a finite set of states, which describes the family relationships among a sample of n members drawn from a large haploid population. Its transition probabilities can be calculated from a factorization of the chain into two independent components, a pure death process and a discrete-time jump chain. For a deeper study, it is useful to construct a more complicated Markov process in which n-coalescents for all values of n are embedded in a natural way.

Keywords: Genetical; models; random; equivalent; relations; exchangeability; jump; chain; haploid; genealogy; coupling; Markov; process (search for similar items in EconPapers)
Date: 1982
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