Limit properties of transition functions of continuous-time Markov branching processes

DOI10.1155/2014/409345zbMath1316.60130OpenAlexW2148508629WikidataQ59047009 ScholiaQ59047009MaRDI QIDQ462412

Azam A. Imomov

Publication date: 20 October 2014

Published in: International Journal of Stochastic Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2014/409345

zbMATH Keywords

limit theoremscontinuous-time Markov branching processestransition functions

Mathematics Subject Classification ID

Central limit and other weak theorems (60F05) Branching processes (Galton-Watson, birth-and-death, etc.) (60J80) Functional limit theorems; invariance principles (60F17) Continuous-time Markov processes on discrete state spaces (60J27) Transition functions, generators and resolvents (60J35)

Related Items (3)

ON THE ASYMPTOTIC STRUCTURE OF NONCRITICAL MARKOV STOCHASTIC BRANCHING PROCESSES WITH CONTINUOUS TIME ⋮ Refined limit theorems for the critical continuous-time Markov branching systems ⋮ On the Limit Structure of Continuous-time Markov Branching Process

Cites Work

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• Continuous-time Markov chains. An applications-oriented approach
• Asymptotic properties of the Markov branching process with immigration
• On a Markov analogue of continuous-time Q-processes
• A Differential Analog of the Main Lemma of the Theory of Markov Branching Processes and Its Applications

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