Two-dimensional renewal theorems with weak moment conditions and critical Bellman-Harris branching processes

DOI10.1515/dma-2016-0005zbMath1375.60131OpenAlexW2341393078MaRDI QIDQ314179

Valentin Alekseevich Topchiĭ

Publication date: 13 September 2016

Published in: Discrete Mathematics and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/dma-2016-0005

zbMATH Keywords

asymptoticsregularly varying functionscritical two-type Bellman-Harris processesinfinite mean lifetimematrix renewal functiontwo-dimensional renewal process

Mathematics Subject Classification ID

Branching processes (Galton-Watson, birth-and-death, etc.) (60J80) Renewal theory (60K05)

Related Items (3)

Two-dimensional renewal theorems with weak moment conditions and critical Bellman-Harris branching processes ⋮ On Renewal Matrices Connected with Branching Processes with Tails of Distributions of Different Orders ⋮ Moments of multitype critical Bellman-Harris processes in which tails of life-length distributions of particles have different orders

Cites Work

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• Two-dimensional renewal theorems with weak moment conditions and critical Bellman-Harris branching processes
• Critical Bellman-Harris branching processes with long-living particles
• 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
• The asymptotic behaviour of derivatives of the renewal function for distributions with infinite first moment and regularly varying tails of index β ∊(1/2, 1]
• Strong Renewal Theorems with Infinite Mean
• Regularly varying functions

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