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JOURNALS // Vestnik Moskovskogo Universiteta. Seriya 1. Matematika. Mekhanika // Archive

Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 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

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.

UDC: 519.2

Received: 09.04.2021


 English version:
Moscow University Mathematics Bulletin, Moscow University Mеchanics Bulletin, 2022, 77:5, 242–246

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© Steklov Math. Inst. of RAS, 2026