Limit theorems for a Galton-Watson process with immigration in varying environments

DOI10.1007/s40840-014-0085-xzbMath1325.60016OpenAlexW2009547603MaRDI QIDQ745941

Yanhua Zhang, Zhenlong Gao

Publication date: 15 October 2015

Published in: Bulletin of the Malaysian Mathematical Sciences Society. Second Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s40840-014-0085-x

zbMATH Keywords

law of the iterated logarithmcentral limit theoremimmigrationvarying environmentsGalton-Watson branching processes

Mathematics Subject Classification ID

Central limit and other weak theorems (60F05) Strong limit theorems (60F15) Processes in random environments (60K37) Branching processes (Galton-Watson, birth-and-death, etc.) (60J80)

Related Items (3)

Bilinear interpolation method for quantum images based on quantum Fourier transform ⋮ Non-uniform Berry-Esseen-type inequalities for a supercritical branching process with immigration in a random environment ⋮ Branching processes in varying environment with generation-dependent immigration

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Bounds of deviation for branching chains in random environments
• Extinction of population-size-dependent branching chains in random environments
• The existence and moments of canonical branching chain in random environment
• Harmonic moments of branching processes in random environments
• Extinction of branching processes in varying environments
• Infinitely dimensional control Markov branching chains in random environments
• Almost sure convergence of branching processes in varying and random environments
• Criticality for branching processes in random environment
• On the maximum of a subcritical branching process in a random environment.
• Analogues of classical limit theorems for the supercritical Galton-Watson process with immigration
• Functional limit theorems for strongly subcritical branching processes in random environment
• A rate of convergence result for the super-critical Galton-Watson process
• Some almost sure convergence theorems 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

This page was built for publication: Limit theorems for a Galton-Watson process with immigration in varying environments