An explicit transition density expansion for a multi-allelic Wright-Fisher diffusion with general diploid selection

DOI10.1016/j.tpb.2012.10.006zbMath1275.92090arXiv1208.5087OpenAlexW3101304556WikidataQ43226972 ScholiaQ43226972MaRDI QIDQ383299

Mohammad Hasan, H. S. Yoon

Publication date: 25 November 2013

Published in: Theoretical Population Biology (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1208.5087

zbMATH Keywords

partial differential equation spectral decomposition Wright-Fisher diffusion multiple alleles general diploid selection transition density function

Mathematics Subject Classification ID

Problems related to evolution (92D15) Population dynamics (general) (92D25) Applications of stochastic analysis (to PDEs, etc.) (60H30) Spectral operators, decomposable operators, well-bounded operators, etc. (47B40)

Related Items (11)

Bayesian inference of selection in the Wright-Fisher diffusion model ⋮ Eigenfunctions and the Dirichlet Problem for the Classical Kimura Diffusion Operator ⋮ A stochastic diffusion process for the Dirichlet distribution ⋮ Diffusion processes satisfying a conservation law constraint ⋮ Analysis and rejection sampling of Wright-Fisher diffusion bridges ⋮ On recurrent properties of Fisher-Wright's diffusion on \((0,1)\) with mutation ⋮ A stochastic diffusion process for Lochner's generalized Dirichlet distribution ⋮ Inference in population genetics using forward and backward, discrete and continuous time processes ⋮ A novel spectral method for inferring general diploid selection from time series genetic data ⋮ On the Simpson index for the Wright–Fisher process with random selection and immigration ⋮ A simple, semi-deterministic approximation to the distribution of selective sweeps in large populations

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