Generalisations of the Bienaymé-Galton-Watson branching process via its representations as an embedded random walk

DOI10.1214/aoap/1177004912zbMath0820.60069OpenAlexW2064860633MaRDI QIDQ1345591

Władysław Szczotka, Malcolm Quine

Publication date: 31 August 1995

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

Full work available at URL: https://doi.org/10.1214/aoap/1177004912

zbMATH Keywords

probability of extinctionembedded random walkalmost- sure asymptotic behaviourBienayme-Galton-Watson branching processrate of asymptotic convergence

Mathematics Subject Classification ID

Sums of independent random variables; random walks (60G50) Markov chains (discrete-time Markov processes on discrete state spaces) (60J10) Branching processes (Galton-Watson, birth-and-death, etc.) (60J80) Markov processes (60J99)

Related Items (4)

On finite exponential moments for branching processes and busy periods for queues ⋮ Limit distributions for generalized Jiřina processes with immigration ⋮ Runtime Analysis of Probabilistic Programs with Unbounded Recursion ⋮ Runtime analysis of probabilistic programs with unbounded recursion

This page was built for publication: Generalisations of the Bienaymé-Galton-Watson branching process via its representations as an embedded random walk