LIMIT THEOREMS FOR SUBCRITICAL AGE-DEPENDENT BRANCHING PROCESSES WITH TWO TYPES OF IMMIGRATION

DOI10.1081/STM-200046495zbMath1079.60072OpenAlexW2163719910MaRDI QIDQ4678854

Gerold Alsmeyer, Maroussia Slavtchova-Bojkova

Publication date: 23 May 2005

Published in: Stochastic Models (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1081/stm-200046495

zbMATH Keywords

regenerative processGalton-Watson processesBellman-Harris processimmigration at zeroimmigration of renewal type

Mathematics Subject Classification ID

Applications of renewal theory (reliability, demand theory, etc.) (60K10) Branching processes (Galton-Watson, birth-and-death, etc.) (60J80) Renewal theory (60K05)

Related Items (3)

Some properties of 2-type Markov branching processes with immigration and instantaneous resurrection ⋮ Stochastic monotonicity and continuity properties of functions defined on Crump-Mode-Jagers branching processes, with application to vaccination in epidemic modelling ⋮ Stochastic Monotonicity and Continuity Properties of the Extinction Time of Bellman-Harris Branching Processes: An Application to Epidemic Modelling

Cites Work

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• Some results on continuous time branching processes with state-dependent immigration
• Limit theorems for an agedependent branching process with immigration
• Bellman–Harris branching processes with state-dependent immigration
• On the subcritical Bellman-Harris process with immigration
• On the age distribution of a Markov chain
• A branching process with a state dependent immigration component
• A Limit Theorem for a Branching Process with State-Dependent Immigration

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