Normal approximation for a randomly indexed branching process

DOI10.7153/JMI-2024-18-22zbMATH Open1547.60081MaRDI QIDQ6569672

Deqiang Yuan, Zhenlong Gao

Publication date: 9 July 2024

Published in: Journal of Mathematical Inequalities (Search for Journal in Brave)

zbMATH Keywords

branching processrenewal processEdgeworth expansionCramér moderate deviationBerry-Esseen type inequality

Mathematics Subject Classification ID

Large deviations (60F10) Branching processes (Galton-Watson, birth-and-death, etc.) (60J80)

Cites Work

• Title not available (Why is that?)
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• Large and moderate deviations for a renewal randomly indexed branching process
• Edgeworth expansions for compound Poisson processes and the bootstrap
• Limit theorems for supercritical branching processes in random environment
• Critical randomly indexed branching processes
• Limit theorems for a supercritical Poisson random indexed branching process
• Stock prices as branching processes
• Berry-Esseen type inequality for a Poisson randomly indexed branching process via Stein's method
• Controlled branching processes with continuous time

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