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Problemy Peredachi Informatsii, 2010, Volume 46, Issue 4, Pages 122–129 (Mi ppi2030)  
This article is cited in 2 scientific papers (total in 2 papers)

Communication Network Theory

On the rate of beta-mixing and convergence to a stationary distribution in continuous-time Erlang-type systems

A. Yu. Veretennikovab

a School of Mathematics, University of Leeds, UK
b A. A. Kharkevich Institute for Information Transmission Problems, Russian Academy of Sciences
Full-text PDF (205 kB) Citations (2)
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Abstract: We establish sufficient conditions for polynomial rate of convergence to a stationary distribution and of beta-mixing in continuous-time Erlang-type systems. Our results are a natural complement both to results of Erlang himself, dating back to the beginning of the 20th century, and to exponential estimates established later.
Received: 28.06.2010
Revised: 20.10.2010
English version:
Problems of Information Transmission, 2010, Volume 46, Issue 4, Pages 382–389
DOI: https://doi.org/10.1134/S0032946010040083
Bibliographic databases:
Document Type: Article
UDC: 621.395.1+519.2
Language: Russian
Citation: A. Yu. Veretennikov, “On the rate of beta-mixing and convergence to a stationary distribution in continuous-time Erlang-type systems”, Probl. Peredachi Inf., 46:4 (2010), 122–129; Problems Inform. Transmission, 46:4 (2010), 382–389
Citation in format AMSBIB
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    • This publication is cited in the following 2 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Проблемы передачи информации Problems of Information Transmission
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    Full-text PDF :104
    References:58
    First page:11
     
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