Limit laws for decomposable critical branching processes

DOI10.1007/BF00535685zbMath0373.60104MaRDI QIDQ4150973

James H. Foster, Peter Ney

Publication date: 1978

Published in: Zeitschrift für Wahrscheinlichkeitstheorie und verwandte Gebiete (Search for Journal in Brave)

Mathematics Subject Classification ID

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

Related Items (17)

Atypical Population Size in a Two-Type Decomposable Branching Process ⋮ Extinction Probabilities of Supercritical Decomposable Branching Processes ⋮ Limit theorems for decomposable branching processes in a random environment ⋮ Critical Galton-Watson processes with overlapping generations ⋮ Branching processes. I ⋮ Extinction of decomposable branching processes ⋮ Multidimensional limit theorems for a branching process with a single type of particles ⋮ The Structure of the Decomposable Reduced Branching Processes. I. Finite-Dimensional Distributions ⋮ Multitype branching processes in random environment ⋮ Asymptotic behaviour of critical decomposable 2-type Galton-Watson processes with immigration ⋮ On the limit distributions of decomposable Galton-Watson processes ⋮ Decomposable branching processes with a fixed extinction moment ⋮ A subcritical decomposable branching process in a mixed environment ⋮ Decomposable branching processes with two types of particles ⋮ The Structure of Decomposable Reduced Branching Processes. II. Functional Limit Theorems ⋮ Условная предельная теорема для близких к критическим ветвящихся процессов с финальным типом частиц ⋮ Reduced processes evolving in a mixed environment

Cites Work

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• Asymptotic behavior of multitype Galton-Watson processes
• Limit theorems for decomposable multi-dimensional Galton-Watson processes
• Critical branching processes
• Some Theorems for Branching Processes with Several Types of Particles
• Some limit theorems for the total progeny of a branching process
• Further results on the critical Galton-Watson process with immigration

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