The internal branch lengths of the Kingman coalescent

DOI10.1214/14-AAP1024zbMath1315.60107arXiv1303.4562OpenAlexW3104125309MaRDI QIDQ2346073

Iulia Dahmer, Götz-Dietrich Kersting

Publication date: 29 May 2015

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

Full work available at URL: https://arxiv.org/abs/1303.4562

zbMATH Keywords

asymptotic distributionMarkov chaincouplingKingman coalescentinternal branch length

Mathematics Subject Classification ID

Central limit and other weak theorems (60F05) Interacting random processes; statistical mechanics type models; percolation theory (60K35) Markov chains (discrete-time Markov processes on discrete state spaces) (60J10)

Related Items (10)

The site-frequency spectrum associated with \(\varXi\)-coalescents ⋮ The impact of genetic diversity statistics on model selection between coalescents ⋮ A compendium of covariances and correlation coefficients of coalescent tree properties ⋮ The joint fluctuations of the lengths of the \(\operatorname{Beta}(2 - {\alpha}, {\alpha})\)-coalescents ⋮ Asymptotics of the frequency spectrum for general Dirichlet \(\Xi\)-coalescents ⋮ Distribution of external branch lengths in Yule histories ⋮ The third moments of the site frequency spectrum ⋮ The total external length of the evolving Kingman coalescent ⋮ On the joint distribution of tree height and tree length under the coalescent ⋮ An efficient algorithm for generating the internal branches of a Kingman coalescent

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• On Asymptotics of Exchangeable Coalescents with Multiple Collisions

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