Estimation of the rate of convergence in the limit theorem for extreme values of regenerative processes

DOI10.1007/S11253-020-01855-1zbMath1479.60184OpenAlexW3120646241MaRDI QIDQ2218763

Ivan K. Matsak, Oleg K. Zakusilo

Publication date: 18 January 2021

Published in: Ukrainian Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11253-020-01855-1

zbMATH Keywords

convergence ratesextreme valueslimit theoremsregenerative processes

Mathematics Subject Classification ID

Queueing theory (aspects of probability theory) (60K25) Applications of renewal theory (reliability, demand theory, etc.) (60K10)

Related Items (2)

Estimates of the convergence rate in a limit theorem for geometric sums and some of their applications ⋮ On extreme values of the queue length in some queuing systems

Cites Work

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• Extreme values of birth and death processes and queues
• Extreme value theory for queues via cycle maxima
• On extreme values of some regenerative processes
• The Classification of Birth and Death Processes
• Estimates of the Moments of Occurrence of Rare Events in Regenerative Processes

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