Article

On the Limit Structure of Continuous-time Markov Branching Process

Азам А. ИмомовState Testing Center CMRU Institute of Mathematics, National University of Uzbekistan Durmon yuli, 29, Tashkent, 100125 Uzbekistan

Journal of Siberian Federal University Mathematics & Physicsjournal2017en

ABI

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.

Topics

Stochastic processes and statistical mechanics

Identifiers

DOI: 10.17516/1997-1397-2017-10-1-117-127

Citations and references

Cited by 08 references

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