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Zapiski Nauchnykh Seminarov POMI, 2014, Volume 431, Pages 56–71 (Mi znsl6094)  
This article is cited in 1 scientific paper (total in 1 paper)

On limit theorem in some service systems

E. S. Garai

St. Petersburg, Russia
Full-text PDF (202 kB) Citations (1)
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Abstract: A service system model introduced by I. Kaj and M. Taqqu is considered. We prove a limit theorem for a process of integral workload on service system. This theorem is generalize a corresponding result of I. Kaj and M. Taqqu, since a weak convergence in Skorokhod space is established.
Key words and phrases: service system, limit theorem, fractional Brownian motion.
Received: 09.12.2014
English version:
Journal of Mathematical Sciences (New York), 2016, Volume 214, Issue 4, Pages 456–466
DOI: https://doi.org/10.1007/s10958-016-2789-y
Bibliographic databases:
Document Type: Article
UDC: 519.2
Language: Russian
Citation: E. S. Garai, “On limit theorem in some service systems”, Probability and statistics. Part 21, Zap. Nauchn. Sem. POMI, 431, POMI, St. Petersburg, 2014, 56–71; J. Math. Sci. (N. Y.), 214:4 (2016), 456–466
Citation in format AMSBIB
\Bibitem{Gar14}
\by E.~S.~Garai
\paper On limit theorem in some service systems
\inbook Probability and statistics. Part~21
\serial Zap. Nauchn. Sem. POMI
\yr 2014
\vol 431
\pages 56--71
\publ POMI
\publaddr St.~Petersburg
\mathnet{http://mi.mathnet.ru/znsl6094}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=3488636}
\transl
\jour J. Math. Sci. (N. Y.)
\yr 2016
\vol 214
\issue 4
\pages 456--466
\crossref{https://doi.org/10.1007/s10958-016-2789-y}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-84961118029}
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  • https://www.mathnet.ru/eng/znsl/v431/p56
    • 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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