Comparative analysis between FAR and ARL based control charts with runs rules

DOI10.15672/HUJMS.758925zbMath1488.62218OpenAlexW3123475176MaRDI QIDQ5164432

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Publication date: 11 November 2021

Published in: Hacettepe Journal of Mathematics and Statistics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.15672/hujms.758925

zbMATH Keywords

powerfalse alarm ratecontrol chartaverage run lengthperformance indicatorsruns rulesprobability of single point

Mathematics Subject Classification ID

Applications of statistics in engineering and industry; control charts (62P30) Reliability and life testing (62N05)

Cites Work

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• One-sided and two-sided \(w\)-\textit{of}-\(w\) runs-rules schemes: an overall performance perspective and the unified run-length derivations
• Efficient power computation for \(r\) out of \(m\) runs rules schemes
• A Nonparametric Shewhart-Type Signed-Rank Control Chart Based on Runs
• Exact Results for Shewhart Control Charts with Supplementary Runs Rules
• On the performance ofX̄control chart for known and unknown parameters supplemented with runs rules under different probability distributions
• One-sided precedence monitoring schemes for unknown shift sizes using generalized 2-of-(h+1) and w-of-w improved runs-rules
• Hotelling T² control chart based on bivariate ranked set schemes
• Control charts for location based on different sampling schemes

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