Weak convergence of discrete time non-Markovian processes related to selection models in population genetics

DOI10.1007/BF00275792zbMath0497.60074OpenAlexW2081612759WikidataQ113909285 ScholiaQ113909285MaRDI QIDQ1170827

Hirotsugu Matsuda, Masaru Iizuka

Publication date: 1982

Published in: Journal of Mathematical Biology (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf00275792

zbMATH Keywords

weak convergencediffusion approximationstochastic selectionconvergence of finite-dimensional distribution

Mathematics Subject Classification ID

Strong limit theorems (60F15) Genetics and epigenetics (92D10) Applications of Brownian motions and diffusion theory (population genetics, absorption problems, etc.) (60J70) Stochastic analysis (60H99)

Related Items

Coalescent process with fluctuating population size and its effective size, Weak convergence of a sequence of stochastic difference equations to a stochastic ordinary differential equation, Effective population size of a population with stochastically varying size, Environmental variation, fluctuating selection and genetic drift in subdivided populations, The effective size of fluctuating populations., Limiting representation of continuous semi-Markov random evolutions in the series scheme, The effect of fluctuating selection on the genealogy at a linked site, Convergence of one-dimensional diffusion processes to a jump process related to population genetics

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