External branch lengths of \(\Lambda \)-coalescents without a dust component

DOI10.1214/19-EJP354zbMath1427.60180arXiv1811.07653MaRDI QIDQ2279330

Christina S. Diehl, Götz-Dietrich Kersting

Publication date: 12 December 2019

Published in: Electronic Journal of Probability (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1811.07653

zbMATH Keywords

Poisson point processbeta-coalescentexternal branch lengthsKingman's coalescentBolthausen-Sznitman coalescent\(\Lambda\)-coalescentCox point processdustless coalescentweak limit law.

Mathematics Subject Classification ID

Central limit and other weak theorems (60F05) Population dynamics (general) (92D25) Continuous-time Markov processes on discrete state spaces (60J27) Jump processes on discrete state spaces (60J74) Coalescent processes (60J90)

Related Items (4)

Measuring the external branches of a Kingman tree: a discrete approach ⋮ Scaling limits for a class of regular \(\Xi\)-coalescents ⋮ The joint fluctuations of the lengths of the \(\operatorname{Beta}(2 - {\alpha}, {\alpha})\)-coalescents ⋮ Distribution of external branch lengths in Yule histories

Uses Software

• DM-PhyClus

Cites Work

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