Large deviation for supercritical branching processes with immigration

DOI10.1007/s10114-016-5437-zzbMath1348.60040OpenAlexW2472706509MaRDI QIDQ326964

Mei Zhang, Jing Ning Liu

Publication date: 13 October 2016

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

Full work available at URL: https://doi.org/10.1007/s10114-016-5437-z

zbMATH Keywords

immigrationlarge deviationssupercritical branching processes

Mathematics Subject Classification ID

Large deviations (60F10) Random measures (60G57) Branching processes (Galton-Watson, birth-and-death, etc.) (60J80) Transition functions, generators and resolvents (60J35)

Related Items (10)

Moments and large deviations for supercritical branching processes with immigration in random environments ⋮ Deviation estimations for Lotka-Nagaev estimator of a branching process with immigration ⋮ The local limit theorem for supercritical branching processes with immigration ⋮ Harmonic moments and large deviations for supercritical branching processes with immigration ⋮ Large deviation rates for supercritical branching processes with immigration ⋮ Asymptotic distributions and Berry-Esseen inequalities for Lotka-Nagaev estimator of a Poisson randomly indexed branching process ⋮ Asymptotic behaviors for critical branching processes with immigration ⋮ Harmonic moments and large deviations for a critical Galton-Watson process with immigration ⋮ Long time behaviour for Markovian branching-immigration systems ⋮ Cramér moderate deviations for a supercritical Galton-Watson process

Cites Work

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• Large deviations for sums indexed by the generations of a Galton-Watson process
• Large deviation rates for branching processes. I: Single type case
• Harmonic moments and large deviation rates for supercritical branching processes
• Local limit theory and large deviations for supercritical branching processes.
• On the supercritical Galton-Watson process with immigration
• On large deviation rates for sums associated with Galton‒Watson processes
• Extension of a Result of Seneta for the Super-Critical Galton-Watson Process
• Branching processes with immigration

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