The size of the last merger and time reversal in \(\Lambda\)-coalescents

DOI10.1214/17-AIHP847zbMath1404.60108arXiv1701.00549MaRDI QIDQ1621714

Anton Wakolbinger, Götz-Dietrich Kersting, Jason Ross Schweinsberg

Publication date: 9 November 2018

Published in: Annales de l'Institut Henri Poincaré. Probabilités et Statistiques (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1701.00549

zbMATH Keywords

renewal theorysubordinatorblock-counting process\(\Lambda\)-coalescent

Mathematics Subject Classification ID

Processes with independent increments; Lévy processes (60G51) Central limit and other weak theorems (60F05) Continuous-time Markov processes on discrete state spaces (60J27) Renewal theory (60K05)

Related Items (4)

The collision spectrum of \(\Lambda\)-coalescents ⋮ General selection models: Bernstein duality and minimal ancestral structures ⋮ External branch lengths of \(\Lambda \)-coalescents without a dust component ⋮ The time to absorption in Λ-coalescents

Cites Work

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• $\beta$-coalescents and stable Galton-Watson trees
• On Λ-Coalescents with Dust Component
• The general coalescent with asynchronous mergers of ancestral lines
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