Critical multitype branching processes with infinite variance

DOI10.1016/0022-247X(78)90171-3zbMath0408.60082OpenAlexW1996915414MaRDI QIDQ1258560

Fred M. Hoppe, Martin I. Goldstein

Publication date: 1978

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0022-247x(78)90171-3

zbMATH Keywords

Asymptotic ResultsInvariant MeasureConditional Limit TheoremCritical Bienayme-Galton-Watson Processes

Mathematics Subject Classification ID

Branching processes (Galton-Watson, birth-and-death, etc.) (60J80) Limit theorems in probability theory (60F99)

Related Items (10)

Branching processes. I ⋮ Limit theorems for a class of critical superprocesses with stable branching ⋮ Reverse processes and some limit theorems of multitype Galton-Watson processes ⋮ Unnamed Item ⋮ Some New Bounds on the Probability of Extinction of a Galton–Watson Process with Numerical Comparisons ⋮ Series of tail distributions of finitely inhomogeneous random walks ⋮ Limit theorems for some critical superprocesses ⋮ On the reverse process of a critical multitype Galton-Watson processes without variances ⋮ Linear functionals for critical multitype Galton-Watson branching processes ⋮ Critical Galton-Watson branching processes with a countable set of types and infinite second moments

Cites Work

• The critical Bienayme-Galton-Watson process
• On multitype branching processes with \(\rho\leq1\)
• A branching process with mean one and possibly infinite variance
• A Simple Proof of a Result of Kesten and Stigum on Supercritical Multitype Galton-Watson Branching Process
• Further notes on branching processes with mean 1
• Limiting Distributions for Critical Multitype Branching Processes with Discrete Time
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