Moments of multitype critical Bellman-Harris processes in which tails of life-length distributions of particles have different orders

DOI10.17377/semi.2017.14.106zbMath1391.60216MaRDI QIDQ1750770

Vladimir A. Vatutin, Valentin Alekseevich Topchiĭ

Publication date: 23 May 2018

Published in: Sibirskie Èlektronnye Matematicheskie Izvestiya (Search for Journal in Brave)

zbMATH Keywords

limit theoremsregularly varying functionsasymptotics of momentsmultitype critical Bellman-Harris branching process

Mathematics Subject Classification ID

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

Related Items (1)

On transient phenomena in branching random processes with discrete time

Cites Work

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• Two-dimensional renewal theorems with weak moment conditions and critical Bellman-Harris branching processes
• A two-type Bellman-Harris process initiated by a large number of particles
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• A Key Renewal Theorem for Heavy Tail Distributions with ${\beta\in(0,0.5}$]
• Discrete Limit Distributions of the Number of Particles in a Bellman-Harris Branching Process with Several Types of Particles
• On a Class of Critical Bellman–Harris Branching Processes with Several Types of Particles
• On Renewal Matrices Connected with Branching Processes with Tails of Distributions of Different Orders
• Critical age-dependent branching processes: Single and multitype

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