A Study on EWMA charts with runs rules—the Markov chain approach

DOI10.1080/03610926.2014.917187zbMath1397.62594OpenAlexW2308615253MaRDI QIDQ2816865

W. L. Teoh, Michael B. C. Khoo, Philippe Castagliola, J. Y. Richard Liew, Petros E. Maravelakis

Publication date: 26 August 2016

Published in: Communications in Statistics - Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/03610926.2014.917187

zbMATH Keywords

Markov chainruns rulesaverage run length (ARL)EWMA chartpercentiles of the run length (RL) distributionstandard deviation of the run length (SDRL)

Mathematics Subject Classification ID

Applications of statistics in engineering and industry; control charts (62P30) Exact distribution theory in statistics (62E15)

Related Items (5)

Economic-statistical design of control chart with runs rules for correlation within sample ⋮ Shewhart-type monitoring schemes with supplementary w-of-w runs-rules to monitor the mean of autocorrelated samples ⋮ Design of attribute EWMA type control charts with reliable run length performance ⋮ An economic statistical design of the Poisson EWMA control charts for monitoring nonconformities ⋮ One-sided and two-sided \(w\)-\textit{of}-\(w\) runs-rules schemes: an overall performance perspective and the unified run-length derivations

Cites Work

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• Optimization designs of the combined Shewhart-CUSUM control charts
• Statistical process control using Shewhart control charts with supplementary runs rules
• The Revisedm-of-kRuns Rule Based on Median Run Length
• Combined Shewhart–EWMA control charts with estimated parameters
• ARL-Design ofSCharts withk-of-kRuns Rules
• On the performance of combinedEWMAschemes forμandσ: a markovian approach
• An optimal design of ewma control charts based on median run length
• The ModifiedrOut ofmControl Chart
• An approach to the probability distribution of cusum run length

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