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JOURNALS // Zapiski Nauchnykh Seminarov POMI // Archive

Zap. Nauchn. Sem. 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

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.

UDC: 519.2

Received: 27.10.2022



© Steklov Math. Inst. of RAS, 2024