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Zapiski Nauchnykh Seminarov POMI, 2010, Volume 384, Pages 5–20 (Mi znsl3882)  
This article is cited in 1 scientific paper (total in 1 paper)

On stochastic models of teletraffic with heavy-tailed distributions

K. A. Aksenova

St. Petersburg State University, St. Petersburg, Russia
Full-text PDF (245 kB) Citations (1)
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Abstract: Following the approach suggested by I. Kaj and M. Taqqu, we consider a stochastic model of teletraffic based on Poisson random measure. We show that under appropriate assumptions the finite-dimensional distributions for the scaled workload process converge to those of a stable Lévy process. Bibl. 10 titles.
Key words and phrases: stable process, the model of care based on a random Poisson measure, limit theorems.
Received: 10.11.2010
English version:
Journal of Mathematical Sciences (New York), 2011, Volume 176, Issue 2, Pages 103–111
DOI: https://doi.org/10.1007/s10958-011-0403-x
Bibliographic databases:
Document Type: Article
UDC: 519
Language: Russian
Citation: K. A. Aksenova, “On stochastic models of teletraffic with heavy-tailed distributions”, Probability and statistics. Part 16, Zap. Nauchn. Sem. POMI, 384, POMI, St. Petersburg, 2010, 5–20; J. Math. Sci. (N. Y.), 176:2 (2011), 103–111
Citation in format AMSBIB
\Bibitem{Aks10}
\by K.~A.~Aksenova
\paper On stochastic models of teletraffic with heavy-tailed distributions
\inbook Probability and statistics. Part~16
\serial Zap. Nauchn. Sem. POMI
\yr 2010
\vol 384
\pages 5--20
\publ POMI
\publaddr St.~Petersburg
\mathnet{http://mi.mathnet.ru/znsl3882}
\transl
\jour J. Math. Sci. (N. Y.)
\yr 2011
\vol 176
\issue 2
\pages 103--111
\crossref{https://doi.org/10.1007/s10958-011-0403-x}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-79959543594}
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    • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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