Limit theorems for the Galton-Watson process with time-dependent immigration

DOI10.1007/BF00534904zbMath0212.19702MaRDI QIDQ5613587

James H. Foster, John A. Williamson

Publication date: 1971

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) Limit theorems in probability theory (60F99)

Related Items

Homogeneous branching processes with non-homogeneous immigration ⋮ Branching processes. I ⋮ Branching processes. II ⋮ Limit theorems for continuous state branching processes with immigration ⋮ Recurrence and transience of contractive autoregressive processes and related Markov chains ⋮ On a stochastic model for continuous mass branching population ⋮ Limit theorems for the integrals of some branching processes ⋮ Some results for non-supercritical Galton-Watson processes with immigration ⋮ On a piece-wise deterministic Markov process model ⋮ Branching processes in varying environment with generation-dependent immigration ⋮ Self-decomposable discrete distributions and branching processes

Cites Work

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• The Galton-Watson process with mean one