Poisson-Dirichlet Distribution with Small Mutation Rate - Mathematics > ProbabilityReport as inadecuate




Poisson-Dirichlet Distribution with Small Mutation Rate - Mathematics > Probability - Download this document for free, or read online. Document in PDF available to download.

Abstract: The behavior of the Poisson-Dirichlet distribution with small mutation rateis studied through large deviations. The structure of the rate functionindicates that the number of alleles is finite at the instant when mutationappears. The large deviation results are then used to study the asymptoticbehavior of the homozygosity, and the Poisson-Dirichlet distribution withsymmetric selection. The latter shows that several alleles can coexist whenselection intensity goes to infinity in a particular way as the mutation rateapproaches zero.



Author: Shui Feng

Source: https://arxiv.org/







Related documents