On asymptotic structure of continuous-time Markov branching processes allowing immigration without higher-order moments

DOI10.13108/2021-13-1-137zbMath1474.60191arXiv2006.09857OpenAlexW3154216012MaRDI QIDQ4988678

A. Meyliyev, Azam A. Imomov

Publication date: 18 May 2021

Published in: Ufimskii Matematicheskii Zhurnal (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2006.09857

zbMATH Keywords

generating functionsinvariant measuresimmigrationMarkov branching processslowly varying functiontransition functionsstate space classification

Mathematics Subject Classification ID

Branching processes (Galton-Watson, birth-and-death, etc.) (60J80) Transition functions, generators and resolvents (60J35)

Related Items (2)

On Estimation of the Convergence Rate to Invariant Measures in Markov Branching Processes with Possibly Infinite Variance and Allowing Immigration ⋮ Asymptotic behavior for supercritical branching processes

Cites Work

• Revisiting conditional limit theorems for the mortal simple branching process
• Asymptotic properties of the Markov branching process with immigration
• On a Markov analogue of continuous-time Q-processes
• Regularly varying functions
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