On a Markov analogue of continuous-time Q-processes

DOI10.1090/S0094-9000-2012-00853-3zbMath1287.60103MaRDI QIDQ2849245

Azam A. Imomov

Publication date: 17 September 2013

Published in: Theory of Probability and Mathematical Statistics (Search for Journal in Brave)

zbMATH Keywords

generating functionstationary measureMarkov branching processtransition functionMarkov \(Q\)-processes

Mathematics Subject Classification ID

Branching processes (Galton-Watson, birth-and-death, etc.) (60J80)

Related Items (8)

On Estimation of the Convergence Rate to Invariant Measures in Markov Branching Processes with Possibly Infinite Variance and Allowing Immigration ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Limit theorems for the positive recurrent Q-process ⋮ Limit properties of transition functions of continuous-time Markov branching processes ⋮ On asymptotic structure of continuous-time Markov branching processes allowing immigration without higher-order moments ⋮ On the Limit Structure of Continuous-time Markov Branching Process ⋮ On the application of slowly varying functions with remainder in the theory of Markov branching processes with mean one and infinite variance

Cites Work

• Some new limit theorems for the critical branching process allowing immigration
• A Differential Analog of the Main Lemma of the Theory of Markov Branching Processes and Its Applications
• Some limit theorems for the total progeny of a branching process
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