Estimating the stationary distribution in a \(GI/M/1\)-queue

DOI10.1016/0304-4149(93)00008-4zbMath0810.60092OpenAlexW2061028582MaRDI QIDQ1343597

Jozef L. Teugels, Ann Vanmarcke

Publication date: 9 April 1995

Published in: Stochastic Processes and their Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0304-4149(93)00008-4

zbMATH Keywords

\(L^ 1\)-convergenceempirical Laplace transform\(GI/M/1\)-queueing system\(L^ 2\)-convergencenonparametric estimation of the stationary distribution

Mathematics Subject Classification ID

Queueing theory (aspects of probability theory) (60K25) Queues and service in operations research (90B22) (L^p)-limit theorems (60F25)

Cites Work

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• Empirical bounds for ruin probabilities
• Approximation Theorems of Mathematical Statistics
• Empirical Laplace transform and approximation of compound distributions

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