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This article is cited in 2 scientific papers (total in 2 papers)
Limit Behavior of a Critical Branching Process with Immigration
O. A. Butkovskii M. V. Lomonosov Moscow State University
Abstract:
A generalization of the Sevastyanov branching process with immigration which is a Cox process is studied. The generating function of the number of particles of the process is obtained. For critical processes, the limit behavior of the number of particles at infinity is established.
Keywords:
branching process with immigration, Cox process, Laplace transform, Lebesgue theorem.
Received: 15.06.2011
Citation:
O. A. Butkovskii, “Limit Behavior of a Critical Branching Process with Immigration”, Mat. Zametki, 92:5 (2012), 670–677; Math. Notes, 92:5 (2012), 612–618
Linking options:
https://www.mathnet.ru/eng/mzm6349https://doi.org/10.4213/mzm6349 https://www.mathnet.ru/eng/mzm/v92/i5/p670
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