Total length of the genealogical tree for quadratic stationary continuous-state branching processes

DOI10.1214/15-AIHP683zbMath1350.60090arXiv1407.4539OpenAlexW2248809812MaRDI QIDQ330704

Jean-François Delmas, Hong Wei Bi

Publication date: 26 October 2016

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/1407.4539

zbMATH Keywords

branching processstationaritytime-reversalpopulation modelgenealogical treelineage tree

Mathematics Subject Classification ID

Problems related to evolution (92D15) Stationary stochastic processes (60G10) Applications of branching processes (60J85) Branching processes (Galton-Watson, birth-and-death, etc.) (60J80) Point processes (e.g., Poisson, Cox, Hawkes processes) (60G55)

Related Items (5)

Reversal property of the Brownian tree ⋮ Some properties of stationary continuous state branching processes ⋮ Branching processes seen from their extinction time via path decompositions of reflected Lévy processes ⋮ Coalescences in continuous-state branching processes ⋮ Exact simulation of the genealogical tree for a stationary branching population and application to the asymptotics of its total length

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