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Matematicheskie Zametki, 2012, Volume 92, Issue 5, Pages 670–677
DOI: https://doi.org/10.4213/mzm6349 (Mi mzm6349) 		 
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
Full-text PDF (476 kB) Citations (2)
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DOI: https://doi.org/10.4213/mzm6349
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
English version:
Mathematical Notes, 2012, Volume 92, Issue 5, Pages 612–618
DOI: https://doi.org/10.1134/S000143461211003X
Bibliographic databases:
Document Type: Article
UDC: 519.21
Language: Russian
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
Citation in format AMSBIB
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    • This publication is cited in the following 2 articles:
    1. Ibrahim Rahimov, “Homogeneous Branching Processes with Non-Homogeneous Immigration”, Stochastics and Quality Control, 36:2 (2021), 165  crossref
    2. Iksanov A., Rashytov B., “A Functional Limit Theorem For General Shot Noise Processes”, J. Appl. Probab., 57:1 (2020), PII S0021900219000950, 280–294  crossref  mathscinet  isi
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Математические заметки Mathematical Notes
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    Full-text PDF :198
    References:51
    First page:20
     
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