Berry-Esseen type inequality for a Poisson randomly indexed branching process via Stein's method

DOI10.7153/jmi-2018-12-43zbMath1391.60211OpenAlexW2805669391MaRDI QIDQ4576088

Zhenlong Gao

Publication date: 12 July 2018

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

Full work available at URL: https://doi.org/10.7153/jmi-2018-12-43

zbMATH Keywords

Stein's methodrandomly indexed branching processBerry-Esseen's inequality

Mathematics Subject Classification ID

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

Related Items

Large deviations for Lotka-Nagaev estimator of a randomly indexed branching process, Asymptotic distributions and Berry-Esseen inequalities for Lotka-Nagaev estimator of a Poisson randomly indexed branching process, Controlled branching processes with continuous time, Deviations for martingale convergence of a branching process with random index

Cites Work

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• Large and moderate deviations for a renewal randomly indexed branching process
• Berry-Esseen's bound and Cramér's large deviation expansion for a supercritical branching process in a random environment
• Large and moderate deviations for a class of renewal random indexed branching process
• Large deviations for a Poisson random indexed branching process
• An \(L_p\) bound for the remainder in a combinatorial central limit theorem
• Critical randomly indexed branching processes
• Limit theorems for a supercritical Poisson random indexed branching process
• Stock prices as branching processes
• Normal Approximation by Stein’s Method
• BARRIER OPTION PRICING BY BRANCHING PROCESSES
• Stock prices as branching processes in random environments: estimation
• Probability Inequalities