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

DOI10.1007/BF00534904zbMath0219.60069MaRDI QIDQ5624499

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 (3)

Asymptotic properties of the Markov branching process with immigration ⋮ A Galton-Watson process with a threshold at 1 and an immigration at 0 ⋮ Iterated limits for aggregation of randomized INAR(1) processes with Poisson innovations

Cites Work

• Unnamed Item
• Functionals of critical multitype branching processes
• A relation between a class of limit laws and a renewal theorem
• A branching process with mean one and possibly infinite variance
• The Galton-Watson process with mean one

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