On the number of allelic types for samples taken from exchangeable coalescents with mutation

DOI10.1239/aap/1261669587zbMath1202.92061arXiv0808.1792OpenAlexW2155873136MaRDI QIDQ3558939

Martin Möhle, Fabian Freund

Publication date: 11 May 2010

Published in: Advances in Applied Probability (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0808.1792

zbMATH Keywords

simultaneous multiple collisionsdistributional recursionnumber of types

Mathematics Subject Classification ID

Central limit and other weak theorems (60F05) Trees (05C05) Problems related to evolution (92D15) Applications of graph theory (05C90) Combinatorial probability (60C05)

Related Items (7)

Mutations on a random binary tree with measured boundary ⋮ Asymptotic results for coalescent processes without proper frequencies and applications to the two-parameter Poisson-Dirichlet coalescent ⋮ Scaling limits for a class of regular \(\Xi\)-coalescents ⋮ Linearization of the Kingman coalescent ⋮ On the size of the block of 1 for \(\varXi\)-coalescents with dust ⋮ Recurrence Equations for the Probability Distribution of Sample Configurations in Exact Population Genetics Models ⋮ Λ-coalescents: a survey

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