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Zapiski Nauchnykh Seminarov POMI, 2022, Volume 515, Pages 162–179 (Mi znsl7261)  
Ultralarge deviations of Poisson Telecom processes

M. A. Lifshits, S. E. Nikitin

Saint Petersburg State University
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Abstract: In the article, we consider the ultralarge deviations of Poisson Telecom processes which appear as limit distributions for the integral workload in a critical regime of a Poisson service system.
Key words and phrases: large deviation probabilities, Telecom process, Poisson random measure, workload.
Funding agency Grant number
Russian Science Foundation 21-11-00047
Received: 27.10.2022
Document Type: Article
UDC: 519.2
Language: Russian
Citation: M. A. Lifshits, S. E. Nikitin, “Ultralarge deviations of Poisson Telecom processes”, Probability and statistics. Part 33, Zap. Nauchn. Sem. POMI, 515, POMI, St. Petersburg, 2022, 162–179
Citation in format AMSBIB
\Bibitem{LifNik22}
\by M.~A.~Lifshits, S.~E.~Nikitin
\paper Ultralarge deviations of Poisson Telecom processes
\inbook Probability and statistics. Part~33
\serial Zap. Nauchn. Sem. POMI
\yr 2022
\vol 515
\pages 162--179
\publ POMI
\publaddr St.~Petersburg
\mathnet{http://mi.mathnet.ru/znsl7261}
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  • https://www.mathnet.ru/eng/znsl/v515/p162
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