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JOURNALS // Journal of Siberian Federal University. Mathematics & Physics // Archive

J. Sib. Fed. Univ. Math. Phys., 2014 Volume 7, Issue 4, Pages 443–454 (Mi jsfu390)

This article is cited in 2 papers

On long-term behavior of continuous-time Markov branching processes allowing immigration

Azam A. Imomovab

a Karshi State University, Kuchabag, 17, Karshi, 180100, Uzbekistan
b State Testing Center at Cabinet of Ministers of Republic of Uzbekistan

Abstract: We observe the continuous-time Markov Branching Process allowing Immigration. Limit properties of transition functions and their convergence to invariant measures are investigated. A speed of this convergence is defined.

Keywords: Markov Branching Process, immigration, transition functions, invariant measures, rate of convergence.

UDC: 519.21

Received: 05.05.2014
Received in revised form: 10.07.2014
Accepted: 17.09.2014

Language: English



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