A fluctuation limit theorem for a critical branching process with dependent immigration

DOI10.1016/j.spl.2014.06.026zbMath1320.60143OpenAlexW1989291460MaRDI QIDQ466990

Mei Zhang, Hongsong Guo

Publication date: 3 November 2014

Published in: Statistics \& Probability Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.spl.2014.06.026

zbMATH Keywords

branching processesimmigrationfluctuation limit theorem

Mathematics Subject Classification ID

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

Related Items (2)

Homogeneous branching processes with non-homogeneous immigration ⋮ Nearly unstable integer‐valued ARCH process and unit root testing

Cites Work

• Limit theorems for a critical branching process with immigration
• A Limit Theorem for Branching Processes with Immigration
• Asymptotic inference for nearly unstable INAR(1) models
• Functional limit theorems for critical processes with immigration
• Fluctuation limit of branching processes with immigration and estimation of the means
• Extreme Values in Samples from $m$-Dependent Stationary Stochastic Processes
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