Green function behaviour of critical Galton-Watson processes with immigration

DOI10.1007/BF02584742zbMath0566.60082MaRDI QIDQ3681686

B. Mellein

Publication date: 1983

Published in: Boletim da Sociedade Brasileira de Matemática (Search for Journal in Brave)

zbMATH Keywords

Galton-Watson branching processasymptotic behaviour of the Green functioncritical, aperiodic and irreducible case

Mathematics Subject Classification ID

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

Related Items (4)

Branching processes. II ⋮ Some asymptotic results for the branching process with immigration ⋮ Renewal theory for transient Markov chains with asymptotically zero drift ⋮ Two-Sex Branching Populations With Progenitor Couples in a Random Environment

Cites Work

• Limit theorems for the simple branching process allowing immigration, I. The case of finite offspring mean
• Further results on the critical Galton-Watson process with immigration
• On the critical Galton-Watson process with immigration
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