Cycles, permutations and the stucture of the Yule process with immigration

DOI10.1016/0304-4149(87)90209-2zbMath0625.92011OpenAlexW2034238213WikidataQ104787327 ScholiaQ104787327MaRDI QIDQ580228

Paul Joyce, Simon Tavaré

Publication date: 1987

Published in: Stochastic Processes and their Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0304-4149(87)90209-2

zbMATH Keywords

cyclespopulation geneticsYule processcombinatorial sampling formulaslinear birth process with immigrationneutral mutationspermutations of the integers

Mathematics Subject Classification ID

Applications of branching processes (60J85) Branching processes (Galton-Watson, birth-and-death, etc.) (60J80) Genetics and epigenetics (92D10)

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Cites Work

• The birth process with immigration, and the genealogical structure of large populations
• Pólya-like urns and the Ewens' sampling formula
• The genetic divergence of two populations
• Partition structures, Polya urns, the Ewens sampling formula, and the ages of alleles
• The coalescent
• The sampling theory of selectively neutral alleles
• The ages of alleles and a coalescent
• Limit Measures Arising in the Asympyotic Theory of Symmetric Groups. I.
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