Skip to content
Licensed Unlicensed Requires Authentication Published by De Gruyter December 23, 2014

Asymptotic behavior of the Bernoulli type Galton–Watson branching process with immigration

  • Yoshinori Uchimura EMAIL logo and Kimiaki Saitô

Abstract

In this paper, we present a random variable to which the Bernoulli type Galton–Watson branching process with immigration converges in law. This convergence is based on the limiting distribution of the process given in [Commun. Stoch. Anal. 5 (2011), no. 3, 457–480]. We also give another proof of the result in [Commun. Stoch. Anal. 5 (2011), no. 3, 457–480] in this paper.

MSC: 60J80; 60J10
Received: 2013-2-5
Accepted: 2014-6-3
Published Online: 2014-12-23
Published in Print: 2015-3-1

© 2015 by De Gruyter

Downloaded on 28.3.2024 from https://www.degruyter.com/document/doi/10.1515/rose-2014-0024/pdf
Scroll to top button