A.s. convergence rate for a supercritical branching processes with immigration in a random environment

DOI10.1080/03610926.2020.1756330OpenAlexW3021238258MaRDI QIDQ5079275

Xulan Huang, Ying-qiu Li

Publication date: 25 May 2022

Published in: Communications in Statistics - Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/03610926.2020.1756330

zbMATH Keywords

convergence ratebranching processimmigrationrandom environmentsubmartingalevarying environment

Mathematics Subject Classification ID

Statistics (62-XX)

Related Items (3)

Central limit theorem and convergence rates for a supercritical branching process with immigration in a random environment ⋮ A.S. convergence rate and \(L^p\)-convergence of bisexual branching processes in a random environment and varying environment ⋮ Berry-Esseen bound for a supercritical branching processes with immigration in a random environment

Cites Work

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• Central limit theorems for a supercritical branching process in a random environment
• Limit theorems for a supercritical branching process with immigration in a random environment
• Age-dependent branching processes in random environments
• Limiting distributions and regeneration times for multitype branching processes with immigration in a random environment
• Convergence rates for branching processes
• A note on multitype branching processes with immigration in a random environment
• Cell contamination and branching processes in a random environment with immigration
• Galton-Watson processes in varying environments
• Multitype branching processes with immigration in random environment, and polling systems

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