The asymptotic behavior of the total number of particles in a critical branching process with immigration

DOI10.1090/tpms/1042zbMath1402.60108OpenAlexW2895040244WikidataQ129133493 ScholiaQ129133493MaRDI QIDQ4686498

Yakubdzhan M. Khusanbaev

Publication date: 10 October 2018

Published in: Theory of Probability and Mathematical Statistics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/tpms/1042

zbMATH Keywords

weak convergencebranching processes with immigrationtotal number of particles

Mathematics Subject Classification ID

Branching processes (Galton-Watson, birth-and-death, etc.) (60J80) Functional limit theorems; invariance principles (60F17)

Related Items (2)

Moderate deviations for the total population arising from a nearly unstable sub-critical Galton-Watson process with immigration ⋮ On transient phenomena in branching random processes with discrete time

Cites Work

• On the convergence rate in one limit theorem for branching processes with immigration
• Some asymptotic results for the branching process with immigration
• Invalidity of bootstrap for critical branching processes with immigration
• Some limit theorems for the total progeny of a branching process
• Fluctuation limit of branching processes with immigration and estimation of the means
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