Journal of Siberian Federal University. Mathematics & Physics / On the Limit Structure of Continuous-time Markov Branching Process

Full text (.pdf)
Issue
Journal of Siberian Federal University. Mathematics & Physics. 2017 10 (1)
Authors
Imamov, Azamat A.
Contact information
Imomov, Azam А.: Institute of Mathematics, National University of Uzbekistan Durmon yuli, 29, Tashkent, 100125 Uzbekistan; imomov_ ; Имомов, Азам А.: Институт математики Национальный университет Узбекистана Дурмон йули, 29, Ташкент Узбекистан
Keywords
Markov Branching Process; Markov Q-process; transition function; invariant measures
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

Pages
117–127
Paper at repository of SibFU
https://elib.sfu-kras.ru/handle/2311/30746