Limit theorems for bounded branching processes

DOI10.1515/dma-2018-0025zbMath1420.60109OpenAlexW2899213034WikidataQ129013208 ScholiaQ129013208MaRDI QIDQ1741459

Gleb K. Kobanenko

Publication date: 3 May 2019

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

Full work available at URL: https://doi.org/10.1515/dma-2018-0025

zbMATH Keywords

limit theoremsbehavior of trajectoriesbounded branching process

Mathematics Subject Classification ID

Branching processes (Galton-Watson, birth-and-death, etc.) (60J80) Functional limit theorems; invariance principles (60F17)

Related Items (1)

Galton--Watson Processes and Their Role as Building Blocks for Branching Processes

Cites Work

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• Functional limit theorems for the decomposable branching process with two types of particles
• Extinction of decomposable branching processes
• On a decomposable branching process with two types of particles
• Decomposable branching processes with a fixed extinction moment
• A conditional functional limit theorem for decomposable branching processes with two types of particles
• Small value probabilities for supercritical branching processes with immigration
• A condition for the extinction of a bounded branching process
• The Structure of Decomposable Reduced Branching Processes. II. Functional Limit Theorems
• A Degeneracy Condition for Bounded Continuous-Time Branching Processes
• Multitype branching processes evolving in a Markovian environment
• Inequalities for the $r$th Absolute Moment of a Sum of Random Variables, $1 \leqq r \leqq 2$

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