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Asymptotic line-of-descent distributions
Authors:R C Griffiths
Institution:(1) Mathematics Department, Monash University, 3168 Clayton, Victoria, Australia
Abstract:Asymptotic distributions are derived for the number of non-mutant ancestors, at time t in the past, of a sample of n from a neutral infinite alleles model. Either the number of non-mutant ancestors L n (t) has a normal distribution or n-Ln(t) has a Poisson distribution as n rarr infin, t rarr 0.
Keywords:Coalescent  infinite alleles model  lines of descent  population genetics
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