A Branching Process with Immigration in Varying Environments

DOI10.1080/03610926.2012.718845zbMath1311.60096OpenAlexW2013156172MaRDI QIDQ5177614

Edward Omey, Kosto V. Mitov

Publication date: 13 March 2015

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

Full work available at URL: https://doi.org/10.1080/03610926.2012.718845

zbMATH Keywords

branching processeslimit theoremvarying environmentsprobability for nonextinction

Mathematics Subject Classification ID

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

Related Items (5)

A critical branching process with immigration in varying environments ⋮ Some Asymptotic Results for Strongly Critical Branching Processes with Immigration in Varying Environment ⋮ Moderate deviations for the total population arising from a nearly unstable sub-critical Galton-Watson process with immigration ⋮ Rank-dependent Galton‒Watson processes and their pathwise duals ⋮ Branching processes in varying environment with generation-dependent immigration

Cites Work

• Unnamed Item
• Some properties of Galton-Watson branching processes in varying environments
• General branching processes in varying environment
• Extremes of geometric variables with applications to branching processes.
• On the extinction time distribution of a branching process in varying environments
• Branching processes with varying and random geometric offspring distributions
• On the extinction times of varying and random environment branching processes
• The fractional linear probability generating function in the random environment branching process
• Galton-Watson processes in varying environments

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