Azam A. Imomov, “Limit theorem for the joint distribution in the <nobr>$Q$</nobr>-processes”, J. Sib. Fed. Univ. Math. Phys., 2014, Volume 7, Issue 3,Pages <nobr>289

This article is cited in 1 paper

Limit theorem for the joint distribution in the $Q$-processes

Azam A. Imomov

Karshi State University, Kuchabag, 17, Karshi, 180100, Uzbekistan

Abstract: The $Q$-process is considered in this paper. A link between the $Q$-process and the Galton–Watson branching process allowing immigration is established in the paper. Due to this link the limit theorem on the joint distribution of the population size and the total state of the $Q$-process is proved.

Keywords: Galton–Watson branching process; immigration; total state of the $Q$-process; limit theorem.

UDC: 519.21

Received: 10.02.2014
Received in revised form: 10.03.2014
Accepted: 23.04.2014

Language: English