A time-dependent Poisson random field model for polymorphism within and between two related biological species

DOI10.1214/09-AAP668zbMath1210.92009arXiv1011.1724OpenAlexW3103374285MaRDI QIDQ1958496

Amei Amei, Stanley A. Sawyer

Publication date: 4 October 2010

Published in: The Annals of Applied Probability (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1011.1724

zbMATH Keywords

population geneticsDNA sequencesdiffusion approximationsPoisson random field

Mathematics Subject Classification ID

Applications of statistics to biology and medical sciences; meta analysis (62P10) Problems related to evolution (92D15) Protein sequences, DNA sequences (92D20) Genetics and epigenetics (92D10) Applications of Brownian motions and diffusion theory (population genetics, absorption problems, etc.) (60J70)

Related Items (2)

Inference of genetic forces using a Poisson random field model with non-constant population size ⋮ Unnamed Item

Cites Work

• Approximation of semi-groups of operators
• Maximum likelihood and Bayesian methods for estimating the distribution of selective effects among classes of mutations using DNA polymorphism data
• Mathematical population genetics. I: Theoretical introduction.
• The parabolic differential equations and the associated semigroups of transformation
• On second order differential operators
• The survival of a mutant gene under selection
• The Distribution of Gene Frequencies Under Irreversible Mutation
• SOLUTION OF A PROCESS OF RANDOM GENETIC DRIFT WITH A CONTINUOUS MODEL
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