Conditional limit theorems for critical continuous-state branching processes

DOI10.1007/s11425-014-4857-4zbMath1315.60092arXiv1309.7761OpenAlexW2047027927MaRDI QIDQ2018900

Guohuan Zhao, Ting Yang, Yan-Xia Ren

Publication date: 26 March 2015

Published in: Science China. Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1309.7761

zbMATH Keywords

regular variationconditional limit theoremscontinuous-state branching process

Mathematics Subject Classification ID

Central limit and other weak theorems (60F05) Branching processes (Galton-Watson, birth-and-death, etc.) (60J80)

Related Items (2)

Deterministic versus stochastic aspects of superexponential population growth models ⋮ Limit theorems for a class of critical superprocesses with stable branching

Cites Work

• Quasi-stationary distributions and Yaglom limits of self-similar Markov processes
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• Introductory lectures on fluctuations of Lévy processes with applications.
• Critical markov branching process limit theorems allowing infinite variance
• Some properties of continuous-state branching processes, with applications to Bartoszyński’s virus model
• Asymptotic behaviour of continuous time, continuous state-space branching processes
• The Critical Galton-Watson Process Without Further Power Moments
• A branching process with mean one and possibly infinite variance
• Further notes on branching processes with mean 1
• Bernstein functions. Theory and applications
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