Subcritical branching processes in a random environment without the Cramer condition

DOI10.1016/J.SPA.2012.04.008zbMath1251.60066arXiv1110.1523OpenAlexW1984441917MaRDI QIDQ432502

Xinghua Zheng, Vladimir A. Vatutin

Publication date: 4 July 2012

Published in: Stochastic Processes and their Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1110.1523

zbMATH Keywords

branching processrandom environmentfunctional limit theoremrandom walksurvival probability

Mathematics Subject Classification ID

Sums of independent random variables; random walks (60G50) Processes in random environments (60K37) Branching processes (Galton-Watson, birth-and-death, etc.) (60J80) Functional limit theorems; invariance principles (60F17)

Related Items (11)

Branching processes with immigration in atypical random environment ⋮ Subcritical Branching Processes in Random Environment ⋮ Asymptotics for exponential functionals of random walks ⋮ Asymptotics of the distribution and harmonic moments for a supercritical branching process in a random environment ⋮ Subcritical Branching Processes in Random Environment with Immigration: Survival of a Single Family ⋮ Asymptotic results for heavy-tailed Lévy processes and their exponential functionals ⋮ Exact convergence rate in the central limit theorem for a branching process in a random environment ⋮ Limit theorems for a supercritical branching process with immigration in a random environment ⋮ Berry-Esseen's bound and Cramér's large deviation expansion for a supercritical branching process in a random environment ⋮ Uniform Cramér moderate deviations and Berry-Esseen bounds for a supercritical branching process in a random environment ⋮ Subcritical branching processes in random environment with immigration stopped at zero

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