Asymptotic behavior for supercritical branching processes

DOI10.1016/j.spl.2023.109782zbMath1516.60055MaRDI QIDQ6101726

Jun Ping Li, Juan Wang, Xueke Wang

Publication date: 20 June 2023

Published in: Statistics \& Probability Letters (Search for Journal in Brave)

zbMATH Keywords

asymptotic behaviorfunctional equationMarkov branching processesCramér method

Mathematics Subject Classification ID

Large deviations (60F10) Branching processes (Galton-Watson, birth-and-death, etc.) (60J80) Continuous-time Markov processes on discrete state spaces (60J27) Transition functions, generators and resolvents (60J35)

Cites Work

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• Lower deviation probabilities for supercritical Galton-Watson processes
• The local limit theorem for the Galton-Watson process
• Long time behaviour for Markovian branching-immigration systems
• Entropies and combinatorics of random branching processes and context-free languages
• On asymptotic structure of continuous-time Markov branching processes allowing immigration without higher-order moments
• Large deviation rates for Markov branching processes
• The Local Limit Theorem and Some Related Aspects of Super-Critical Branching Processes

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