Critical Galton–Watson Processes: The Maximum of Total Progenies within a Large Window

DOI10.1137/S0040585X97983110zbMath1206.60078arXivmath/0601333OpenAlexW2001932199MaRDI QIDQ3532123

Vitali Wachtel, Klaus Fleischmann, Vladimir A. Vatutin

Publication date: 3 November 2008

Published in: Theory of Probability & Its Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0601333

zbMATH Keywords

limit theoremtail asymptoticsmoving windowlower deviation probabilitiesconditional invariance principlebranching of index one plus alphamaximal total progeny

Mathematics Subject Classification ID

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

Related Items (5)

On the local time of a stopped random walk attaining a high level ⋮ Probabilistic Inequalities for the Galton--Watson Processes ⋮ Growth of Integral Transforms and Extinction in Critical Galton-Watson Processes ⋮ Critical markov branching process limit theorems allowing infinite variance ⋮ On Largest Offspring in a Critical Branching Process with Finite Variance

This page was built for publication: Critical Galton–Watson Processes: The Maximum of Total Progenies within a Large Window