Convergence of a sequence of nearly critical branching processes with immigration

DOI10.1090/tpms/960zbMath1322.60176OpenAlexW1440302214MaRDI QIDQ2944745

Yakubdzhan M. Khusanbaev

Publication date: 8 September 2015

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

Full work available at URL: https://doi.org/10.1090/tpms/960

zbMATH Keywords

weak convergenceimmigrationfluctuation limit theoremnearly critical branching process

Mathematics Subject Classification ID

Asymptotic properties of parametric estimators (62F12) Central limit and other weak theorems (60F05) Branching processes (Galton-Watson, birth-and-death, etc.) (60J80) Functional limit theorems; invariance principles (60F17)

Related Items (1)

On transient phenomena in branching random processes with discrete time

Cites Work

• Invalidity of bootstrap for critical branching processes with immigration
• The convergence of Galton–Watson branching processes with immigration to a diffusion process
• Fluctuation limit of branching processes with immigration and estimation of the means
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