Limit theorems for the positive recurrent Q-process

DOI10.1007/978-3-031-32990-6_1MaRDI QIDQ6201623

Zuhriddin A. Nazarov, Azam A. Imomov

Publication date: 25 March 2024

Published in: Information Technologies and Mathematical Modelling. Queueing Theory and Applications (Search for Journal in Brave)

zbMATH Keywords

Markov chaincentral limit theoremlocal limit theoremextinction timeQ-processtotal progenyinvariant distributionbranching systemmonotone ratio convergence theorem

Mathematics Subject Classification ID

Central limit and other weak theorems (60F05) Markov chains (discrete-time Markov processes on discrete state spaces) (60J10) Branching processes (Galton-Watson, birth-and-death, etc.) (60J80)

Cites Work

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• On a Markov analogue of continuous-time Q-processes
• The Galton-Watson process conditioned on the total progeny
• Some limit theorems for the total progeny of a branching process

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