Vestnik Moskovskogo Universiteta. Seriya 1. Matematika. Mekhanika
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Vestnik Moskovskogo Universiteta. Seriya 1. Matematika. Mekhanika, 2022, Number 5, Pages 45–48 (Mi vmumm4495)  
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The estimation of traffic intensity parameter for a single-channel queueing system with regenerative input flow

G. A. Krylova

Lomonosov Moscow State University, Faculty of Mechanics and Mathematics
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Abstract: A single-channel queueing system with regenerative input flow and an unreliable device is considered. A statistical estimation of the traffic intensity parameter $\rho$ is proposed, its consistency and asymptotic normality are proved. An algorithm for testing the hypothesis $\rho=\rho_0$ against various alternatives is presented.
Key words: regenerative flow, traffic intensity parameter, consistent parameter estimation, asymptotic normality, unreliable device.
Received: 09.04.2021
English version:
Moscow University Mathematics Bulletin, 2022, Volume 77, Issue 5, Pages 242–246
DOI: https://doi.org/10.3103/S0027132222050047
Bibliographic databases:
Document Type: Article
UDC: 519.2
Language: Russian
Citation: G. A. Krylova, “The estimation of traffic intensity parameter for a single-channel queueing system with regenerative input flow”, Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 2022, no. 5, 45–48; Moscow University Mathematics Bulletin, 77:5 (2022), 242–246
Citation in format AMSBIB
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\by G.~A.~Krylova
\paper The estimation of traffic intensity parameter for a single-channel queueing system with regenerative input flow
\jour Vestnik Moskov. Univ. Ser.~1. Mat. Mekh.
\yr 2022
\issue 5
\pages 45--48
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\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=4535598}
\zmath{https://zbmath.org/?q=an:7660975}
\elib{https://elibrary.ru/item.asp?id=49553379}
\transl
\jour Moscow University Mathematics Bulletin
\yr 2022
\vol 77
\issue 5
\pages 242--246
\crossref{https://doi.org/10.3103/S0027132222050047}
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