Growth of Integral Transforms and Extinction in Critical Galton-Watson Processes

DOI10.1239/jap/1214950361zbMath1149.60060OpenAlexW1979995616MaRDI QIDQ3516420

Daniel V. Tokarev

Publication date: 5 August 2008

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

Full work available at URL: https://doi.org/10.1239/jap/1214950361

zbMATH Keywords

regular variationintegral transformbranching processTauberian theoremmean time to extinctioncritical Galton-Watson process

Mathematics Subject Classification ID

Central limit and other weak theorems (60F05) Numerical methods for integral transforms (65R10) Branching processes (Galton-Watson, birth-and-death, etc.) (60J80)

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Cites Work

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• Asexual versus promiscuous bisexual Galton-Watson processes: The extinction probability ratio
• Critical Galton–Watson Processes: The Maximum of Total Progenies within a Large Window
• Markovian paths to extinction
• A Method of Proving Limit Theorems for Branching Processes
• Regularly varying functions in the theory of simple branching processes
• On distribution tails and expectations of maxima in critical branching processes
• The Critical Galton-Watson Process Without Further Power Moments
• A branching process with mean one and possibly infinite variance
• Further notes on branching processes with mean 1

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