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Teoriya Veroyatnostei i ee Primeneniya, 2005, Volume 50, Issue 3, Pages 564–570
DOI: https://doi.org/10.4213/tvp96 (Mi tvp96) 		 
This article is cited in 6 scientific papers (total in 6 papers)

Short Communications

Maximal branching processes with non-negative values

A. V. Lebedev

M. V. Lomonosov Moscow State University
Full-text PDF (839 kB) Citations (6)
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DOI: https://doi.org/10.4213/tvp96
Abstract: A generalization of the maximal branching processes introduced by Lamperti from the domain $\mathbf{Z}_+$ to $\mathbf{R}_+$ is proved. Some properties of these processes are investigated, an ergodic theorem is proved, and examples are given. Applications of the maximal branching processes to the queueing theory are given.
Keywords: maximal branching processes, ergodic theorem, association, monotonicity with respect to parameters, gated infinite-server systems.
Received: 29.01.2002
Revised: 03.02.2003
English version:
Theory of Probability and its Applications, 2006, Volume 50, Issue 3, Pages 482–488
DOI: https://doi.org/10.1137/S0040585X97981895
Bibliographic databases:
Document Type: Article
Language: Russian
Citation: A. V. Lebedev, “Maximal branching processes with non-negative values”, Teor. Veroyatnost. i Primenen., 50:3 (2005), 564–570; Theory Probab. Appl., 50:3 (2006), 482–488
Citation in format AMSBIB
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    • This publication is cited in the following 6 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Теория вероятностей и ее применения Theory of Probability and its Applications
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