On tail behaviour of stationary second-order Galton-Watson processes with immigration

DOI10.15559/20-VMSTA161zbMath1473.60120arXiv1801.07931OpenAlexW3102095579MaRDI QIDQ2218144

Mátyás Barczy, Zsuzsanna Bosze, Gyula Pap

Publication date: 14 January 2021

Published in: Modern Stochastics. Theory and Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1801.07931

zbMATH Keywords

tail behaviorimmigrationsecond momentsregularly varying distributionsecond-order Galton-Watson process

Mathematics Subject Classification ID

Extreme value theory; extremal stochastic processes (60G70) Branching processes (Galton-Watson, birth-and-death, etc.) (60J80)

Related Items (1)

Convergence of partial sum processes to stable processes with application for aggregation of branching processes

Cites Work

• Estimation of the infection parameter of an epidemic modeled by a branching process
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• THE INTEGER-VALUED AUTOREGRESSIVE (INAR(p)) MODEL
• The Multivariate Ginar(p) Process
• Regularly varying nonstationary second-order Galton–Watson processes with immigration
• Heavy-Tail Phenomena
• The multi-type Galton-Watson process with immigration
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