Statistical analysis of the estimates of some stationary performances of the unreliable \(M/M/1/N\) queue with Bernoulli feedback

DOI10.1515/mcma-2023-2004OpenAlexW4367680652MaRDI QIDQ6085034

Hadjer Nita, Mouloud Cherfaoui, Faïrouz Afroun, Djamil Aissani

Publication date: 2 December 2023

Published in: Monte Carlo Methods and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/mcma-2023-2004

zbMATH Keywords

estimationsimulationperformance measuresbox plotMarkovian queueing modelscompliance tests

Mathematics Subject Classification ID

Asymptotic properties of parametric estimators (62F12) Parametric hypothesis testing (62F03) Markov processes: estimation; hidden Markov models (62M05) Queues and service in operations research (90B22) Asymptotic properties of parametric tests (62F05)

Cites Work

• A generalized boxplot for skewed and heavy-tailed distributions
• A history of the central limit theorem. From classical to modern probability theory
• Some consequences of estimating parameters for the M/M/1 queue
• A survey of parameter and state estimation in queues
• Maximum Likelihood Estimates in a Simple Queue
• Mathematical Statistics
• Q‐matrix method for the analysis and performance evaluation of unreliable M/M/1/N queueing model
• The Power of Student's t-Test
• Theory of Preliminary Test and Stein‐Type Estimation With Applications
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