Central limit theorems for a supercritical branching process in a random environment

DOI10.1016/j.spl.2011.01.003zbMath1210.60095OpenAlexW2063342560MaRDI QIDQ633046

Quan-sheng Liu, Zhi-Qiang Gao, He-Song Wang

Publication date: 31 March 2011

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

Full work available at URL: https://doi.org/10.1016/j.spl.2011.01.003

zbMATH Keywords

rate of convergencebranching processescentral limit theoremrandom environmentMartingale

Mathematics Subject Classification ID

Central limit and other weak theorems (60F05) Processes in random environments (60K37) Branching processes (Galton-Watson, birth-and-death, etc.) (60J80)

Related Items (10)

Delay dynamic double integral inequalities on time scales with applications ⋮ Central limit theorem and convergence rates for a supercritical branching process with immigration in a random environment ⋮ A.s. convergence rate for a supercritical branching processes with immigration in a random environment ⋮ Non-uniform Berry-Esseen-type inequalities for a supercritical branching process with immigration in a random environment ⋮ Moments, moderate and large deviations for a branching process in a random environment ⋮ Asymptotic properties of supercritical branching processes in random environments ⋮ Rate of convergence for polymers in a weak disorder ⋮ Large deviations of branching process in a random environment. II ⋮ Quenched convergence rates for a supercritical branching process in a random environment ⋮ Berry-Esseen bound for a supercritical branching processes with immigration in a random environment

Cites Work

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• Limit theorems for branching processes in a random environment
• Propriétés asymptotiques des processus de branchement en environnement aléatoire
• On the Continuity of the Distribution of a Sum of Dependent Variables Connected with Independent Walks on Lines
• Galton-Watson processes in varying environments
• [https://portal.mardi4nfdi.de/wiki/Publication:5550175 Ein zentraler Grenzwertsatz f�r Verzweigungsprozesse]
• On Branching Processes in Random Environments
• An invariance principle and some convergence rate results for branching processes
• Some central limit analogues for supercritical Galton-Watson processes
• On Branching Processes with Random Environments: I: Extinction Probabilities
• Branching Processes with Random Environments, II: Limit Theorems

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