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On the limit structure of continuous-time Markov branching process
Azam A. Imomov State Testing Center CMRU,
Institute of Mathematics, National University of Uzbekistan,
Durmon yuli, 29, Tashkent, 100125,
Uzbekistan
Abstract:
We study the limiting probability function of continuous-time Markov Branching Processes conditioned to be never extinct. Hereupon we obtain a new stochastic population process called the Markov Q-Process. The principal aim is to investigate structural and asymptotic properties of the Markov Q-Process, also we study transition functions of this process and their convergence to stationary measures.
Keywords:
Markov Branching Process, Markov Q-process, transition function; invariant measures.
Received: 23.08.2016 Received in revised form: 10.09.2016 Accepted: 01.11.2016
Citation:
Azam A. Imomov, “On the limit structure of continuous-time Markov branching process”, J. Sib. Fed. Univ. Math. Phys., 10:1 (2017), 117–127
Linking options:
https://www.mathnet.ru/eng/jsfu531 https://www.mathnet.ru/eng/jsfu/v10/i1/p117
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Abstract page: | 191 | Full-text PDF : | 74 | References: | 32 |
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