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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.
Keywords: Galton–Watson branching process; immigration; limiting distribution; stationary distribution; Markov chain; generating function
Received: 2013-2-5
Accepted: 2014-6-3
Published Online: 2014-12-23
Published in Print: 2015-3-1
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