First- and second-order expansions in the central limit theorem for a branching random walk

DOI10.1016/j.crma.2016.01.021zbMath1387.60047OpenAlexW2337356798MaRDI QIDQ1695405

Quan-sheng Liu, Zhi-Qiang Gao

Publication date: 7 February 2018

Published in: Comptes Rendus. Mathématique. Académie des Sciences, Paris (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.crma.2016.01.021

zbMATH Keywords

central limit theorembranching random walkbranching Wiener process

Mathematics Subject Classification ID

Central limit and other weak theorems (60F05) Sums of independent random variables; random walks (60G50) Branching processes (Galton-Watson, birth-and-death, etc.) (60J80)

Related Items (3)

Asymptotic expansions in the central limit theorem for a branching Wiener process ⋮ Delay dynamic double integral inequalities on time scales with applications ⋮ Exact convergence rates in central limit theorems for a branching random walk with a random environment in time

Cites Work

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• The central limit theorem for the supercritical branching random walk, and related results
• Branching random walks. II
• Convergence rates for branching processes
• Exact convergence rates for the distribution of particles in branching random walks
• Branching random walks with random environments in time
• Distribution of levels in high-dimensional random landscapes
• Central limit theorems for a branching random walk with a random environment in time

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