A law of large numbers for the scaled age distribution of linear birth-and-death processes

DOI10.2307/3314800zbMath0605.60075OpenAlexW1974005664MaRDI QIDQ3742459

Arup Bose

Publication date: 1986

Published in: Canadian Journal of Statistics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2307/3314800

zbMATH Keywords

law of large numbersmeasure-valued processesage distributionbirth and death processcriticality parameter

Mathematics Subject Classification ID

Random measures (60G57) Branching processes (Galton-Watson, birth-and-death, etc.) (60J80)

Related Items (4)

A fluctuations limit for scaled age distributions and weighted Sobolev spaces ⋮ Law of large numbers for a general system of stochastic differential equations with global interaction ⋮ Stochastic demographic models: Age of a population ⋮ Construction of age-structured branching processes by stochastic equations

Cites Work

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• Central limit phenomena of various interacting systems
• Some aspects of modern population mathematics

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