Limit theorems for critical Galton-Watson processes with immigration stopped at zero

DOI10.1007/s10114-023-1574-3arXiv2111.04043OpenAlexW3213990902MaRDI QIDQ6155098

Mei Zhang, Dou Dou Li, Xianyu Zhang

Publication date: 16 February 2024

Published in: Acta Mathematica Sinica. English Series (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2111.04043

zbMATH Keywords

immigrationlimit theoremsbranchingcriticallife period

Mathematics Subject Classification ID

Large deviations (60F10) Branching processes (Galton-Watson, birth-and-death, etc.) (60J80)

Cites Work

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• Some results for non-supercritical Galton-Watson processes with immigration
• Non-parametric estimation in the Galton-Watson process
• A conditional limit theorem for a critical branching process with immigration
• Asymptotic behaviors for critical branching processes with immigration
• Subcritical branching processes in random environment with immigration stopped at zero
• Harmonic moments and large deviations for a critical Galton-Watson process with immigration
• The critical branching process with immigration stopped at zero
• Family size order statistics in branching processes with immigration
• Branching processes in a random environment with immigration stopped at zero
• Branching Processes
• A branching process with mean one and possibly infinite variance
• Further results on the critical Galton-Watson process with immigration
• Life-Periods of a Branching Process with Immigration
• Branching processes in biology

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