On the asymptotic behaviour of branching processes with infinite mean

DOI10.2307/1426697zbMath0391.60083OpenAlexW2313836264MaRDI QIDQ4172745

Hans-Jürgen Schuh, Andrew David Barbour

Publication date: 1977

Published in: Advances in Applied Probability (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2307/1426697

zbMATH Keywords

Asymptotic BehaviourAnalytical and Probabilistic MethodsBranching Processes with Infinite MeanLimit Theory for Galton-Watson Processes

Mathematics Subject Classification ID

Branching processes (Galton-Watson, birth-and-death, etc.) (60J80)

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Branching processes with immigration in atypical random environment ⋮ Convergence in probability and almost sure with applications. ⋮ Branching processes. I ⋮ Branching random walk with infinite progeny mean: a tale of two tails ⋮ Asymptotic behaviour of heavy-tailed branching processes in random environments ⋮ On a property related to convergence in probability and some applications to branching processes ⋮ Coalescence in the recent past in rapidly growing populations ⋮ The supercritical Galton-Watson process in varying environments ⋮ Statistical inference of subcritical strongly stationary Galton-Watson processes with regularly varying immigration ⋮ On the invariant events of a markov chain ⋮ Slower variation of the generation sizes induced by heavy-tailed environment for geometric branching ⋮ The Critical Galton-Watson Process Without Further Power Moments ⋮ On regular branching processes with infinite mean ⋮ Energy cascades as branching processes with emphasis on Neveu's approach to Derrida's random energy model ⋮ Leader election using random walks ⋮ The supercritical Galton-Watson process in varying environments -- Seneta-Heyde norming

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