Limit distributions for generalized Jiřina processes with immigration

DOI10.1007/s10114-011-8566-4zbMath1302.60117OpenAlexW2118783305MaRDI QIDQ475744

Yu-Qiang Li

Publication date: 27 November 2014

Published in: Acta Mathematica Sinica. English Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10114-011-8566-4

zbMATH Keywords

immigrationlimiting distributiongeneralized branching process

Mathematics Subject Classification ID

Stochastic processes (60G99) Branching processes (Galton-Watson, birth-and-death, etc.) (60J80)

Cites Work

• A fluctuation type limit theorem for Jiřina processes with immigration
• Limit theorems for generalized Jiřina processes
• Generalisations of the Bienaymé-Galton-Watson branching process via its representations as an embedded random walk
• Limiting behavior of a generalized branching process with immigration
• On population-size-dependent branching processes
• On some classes of population-size-dependent Galton–Watson processes
• Transience and recurrence of state-dependent branching processes with an immigration component
• The speed of extinction for some generalized jiřina processes
• On a Continuous-State Population-Size-Dependent Branching Process and Its Extinction
• On the asymptotic behaviour of subcritical branching processes with continuous state space
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