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Supercritical age-dependent branching Markov processes and their scaling limits

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Publication:637093
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DOI10.3150/10-BEJ264zbMath1284.60155OpenAlexW3023546027MaRDI QIDQ637093

Srikanth K. Iyer, Krishna B. Athreya, Siva R. Athreya

Publication date: 2 September 2011

Published in: Bernoulli (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3150/10-bej264

zbMATH Keywords

branchingempirical distributionsupercriticalage-dependentancestral times


Mathematics Subject Classification ID

Central limit and other weak theorems (60F05) Branching processes (Galton-Watson, birth-and-death, etc.) (60J80) Renewal theory (60K05)


Related Items

Coalescence in Branching Processes, Slow and fast scales for superprocess limits of age-structured populations, Uniform sampling in a structured branching population



Cites Work

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  • Seneta-Heyde norming in the branching random walk
  • The growth and composition of branching populations
  • Asymptotic properties of super-critical branching processes II: Crump-Mode and Jirina processes
  • Some limit theorems for positive recurrent branching Markov chains: I
  • The stable doubly infinite pedigree process of supercritical branching populations
  • Fixed points of the smoothing transformation
  • Distribution of the branching-process population among generations
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