Critical Markov branching process with infinite variance allowing Poisson immigration with increasing intensity

DOI10.1080/07362994.2024.2384575MaRDI QIDQ6637023

Unnamed Author, Kosto V. Mitov

Publication date: 12 November 2024

Published in: Stochastic Analysis and Applications (Search for Journal in Brave)

Mathematics Subject Classification ID

Central limit and other weak theorems (60F05) Applications of branching processes (60J85) Branching processes (Galton-Watson, birth-and-death, etc.) (60J80) Point processes (e.g., Poisson, Cox, Hawkes processes) (60G55)

Cites Work

• Branching stochastic processes with immigration in analysis of renewing cell populations
• Branching processes. I
• Some new limit theorems for the critical branching process allowing immigration
• Homogeneous branching processes with non-homogeneous immigration
• A test of homogeneity for age-dependent branching processes with immigration
• Sevastyanov branching processes with non-homogeneous Poisson immigration
• Supercritical Sevastyanov Branching Processes with Non-homogeneous Poisson Immigration
• Critical markov branching process limit theorems allowing infinite variance
• Critical Branching Processes with Immigration of Decreasing Intensity
• Subcritical Sevastyanov branching processes with nonhomogeneous Poisson immigration
• Multitype branching processes with inhomogeneous Poisson immigration
• Limit theorems for the Galton-Watson process with time-dependent immigration
• A Problem Concerning Generalized Age-Dependent Branching Processes with Immigration
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