Large deviation rates for supercritical branching processes with immigration

DOI10.1007/s10959-019-00968-zzbMath1469.60274OpenAlexW2992230576MaRDI QIDQ2224953

Liuyan Li, Jun Ping Li

Publication date: 4 February 2021

Published in: Journal of Theoretical Probability (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10959-019-00968-z

zbMATH Keywords

large deviationimmigrationsupercritical branching process

Mathematics Subject Classification ID

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

Related Items (5)

Deviation estimations for Lotka-Nagaev estimator of a branching process with immigration ⋮ The local limit theorem for supercritical branching processes with immigration ⋮ Moments, large and moderate deviations for branching random walks with immigration in random environments ⋮ Long time behaviour for Markovian branching-immigration systems ⋮ Cramér moderate deviations for a supercritical Galton-Watson process

Cites Work

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• Large deviation for supercritical branching processes with immigration
• Large deviation rates for branching processes. I: Single type case
• Harmonic moments and large deviations for supercritical branching processes with immigration
• A note on multitype branching processes with immigration in a random environment
• A note on the supercritical Galton-Watson process with immigraiton
• On the supercritical Galton-Watson process with immigration
• Large deviations for Branching Processes in Random Environment

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