On the Kolmogorov Constant Explicit Form in the Theory of Stochastic Continuous-time Markov Branching Systems

Azam A. Imomov ()
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Azam A. Imomov: Karshi State University

Journal of Theoretical Probability, 2025, vol. 38, issue 2, 1-21

Abstract: Abstract The paper considers the continuous-time Markov branching system. We are interested in a case when an average intensity of the branching rate $$m\ne {0}$$ m ≠ 0 is called the noncritical case. It was proved by Sevastyanov [25] that the average expected number of population sizes on the survival trajectories of subcritical system, $$m

Keywords: Markov branching systems; Kolmogorov constant; Transition probabilities; Bridled-survival probability; Invariant distribution; Markov Q-process; Basic Lemma; Limit theorems; 60J80; 60J85 (search for similar items in EconPapers)
Date: 2025
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DOI: 10.1007/s10959-025-01400-5

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