Diffusion approximation of controlled branching processes using limit theorems for random step processes

DOI10.1080/15326349.2022.2066131zbMath1506.60092OpenAlexW4283369201WikidataQ113848654 ScholiaQ113848654MaRDI QIDQ5878100

Inés M. del Puerto, Miguel González, Pedro Martín-Chávez

Publication date: 17 February 2023

Published in: Stochastic Models (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/15326349.2022.2066131

zbMATH Keywords

stochastic differential equationmartingale differencesdiffusion processesweak convergence theoremcontrolled branching processesrandom step processes

Mathematics Subject Classification ID

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

Cites Work

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• A Limit Theorem for a Branching Process with State-Dependent Immigration
• On the critical Galton-Watson process with immigration
• Fluctuation limit of branching processes with immigration and estimation of the means
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