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Journal of Siberian Federal University. Mathematics & Physics, 2017, Volume 10, Issue 1, Pages 117–127
DOI: https://doi.org/10.17516/1997-1397-2017-10-1-117-127
(Mi jsfu531)
 

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
References:
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
Bibliographic databases:
Document Type: Article
UDC: 519.218.2
Language: English
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
Citation in format AMSBIB
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\by Azam~A.~Imomov
\paper On the limit structure of continuous-time Markov branching process
\jour J. Sib. Fed. Univ. Math. Phys.
\yr 2017
\vol 10
\issue 1
\pages 117--127
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\crossref{https://doi.org/10.17516/1997-1397-2017-10-1-117-127}
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    Журнал Сибирского федерального университета. Серия "Математика и физика"
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