General branching processes in discrete time as random trees

DOI10.3150/08-BEJ138zbMath1157.60338arXiv0811.2299OpenAlexW3098670679MaRDI QIDQ1002531

Peter Jagers, Serik Sagitov

Publication date: 2 March 2009

Published in: Bernoulli (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0811.2299

zbMATH Keywords

random treesGalton-Watsonsize-biased distributionsCrump-Mode-Jagers

Mathematics Subject Classification ID

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

Related Items (4)

Critical Galton-Watson processes with overlapping generations ⋮ General linear-fractional branching processes with discrete time ⋮ Linear-fractional branching processes with countably many types ⋮ Perron–Frobenius theory for kernels and Crump–Mode–Jagers processes with macro-individuals

Cites Work

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• On the convergence of supercritical general (C-M-J) branching processes
• Exact distributions of kin numbers in a Galton-Watson process
• The xlogx condition for general branching processes
• The stable doubly infinite pedigree process of supercritical branching populations
• Measure change in multitype branching
• Elementary new proofs of classical limit theorems for Galton–Watson processes

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