Critical Bellman–Harris branching processes with infinite variance allowing state-dependent immigration

DOI10.1081/STM-120004468zbMath1004.60084OpenAlexW2006011441MaRDI QIDQ3147439

Kosto V. Mitov, Nikolay M. Yanev

Publication date: 1 February 2003

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

Full work available at URL: https://doi.org/10.1081/stm-120004468

zbMATH Keywords

limit theoremsregenerative processesbranching process with immigration

Mathematics Subject Classification ID

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

Related Items (6)

Supercritical Sevastyanov Branching Processes with Non-homogeneous Poisson Immigration ⋮ Branching stochastic processes with immigration in analysis of renewing cell populations ⋮ Some properties of 2-type Markov branching processes with immigration and instantaneous resurrection ⋮ Age and residual lifetime distributions for branching processes ⋮ Sevastyanov branching processes with non-homogeneous Poisson immigration ⋮ Subcritical Sevastyanov branching processes with nonhomogeneous Poisson immigration

Cites Work

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• Some results on continuous time branching processes with state-dependent immigration
• Regenerative processes in the infinite mean cycle case
• A Review of Regenerative Processes
• Bellman–Harris branching processes with state-dependent immigration
• Bellman-Harris branching processes with a special type of state-dependent 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
• On the Theory of Age-Dependent Stochastic Branching Processes

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