On deterministic approximation for nearly critical branching processes with dependent immigration

DOI10.1016/j.spl.2023.110031zbMATH Open1540.60192MaRDI QIDQ6540887

S. O. Sharipov, I. Rahimov

Publication date: 17 May 2024

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

zbMATH Keywords

degenerate limitsequences of branching processesnon-stationary dependent immigrationregularly varying mean and variance functions

Mathematics Subject Classification ID

Stochastic processes (60G99) Branching processes (Galton-Watson, birth-and-death, etc.) (60J80) Limit theorems in probability theory (60F99)

Cites Work

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• A fluctuation limit theorem for a critical branching process with dependent immigration
• Limit theorems for a critical branching process with immigration
• Bootstrap of the offspring mean in the critical process with a non-stationary immigration
• Homogeneous branching processes with non-homogeneous immigration
• Deterministic Approximation of a Sequence of Nearly Critical Branching Processes
• Approximation of Fluctuations in a Sequence of Nearly Critical Branching Processes
• A Limit Theorem for Branching Processes with Immigration
• Deterministic approximation for nearly critical branching processes with dependent immigration
• Functional limit theorems for critical processes with immigration
• On central limit theorems for branching processes with dependent immigration
• On functional limit theorems for branching processes with dependent immigration

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