The Exact Run Length Distribution and Design of the Shewhart Chart with Estimated Parameters Based on Median Run Length

DOI10.1080/03610918.2014.889158zbMath1383.62353OpenAlexW2030529491MaRDI QIDQ2816741

Michael B. C. Khoo, Philippe Castagliola, Ming Ha Lee, W. L. Teoh

Publication date: 25 August 2016

Published in: Communications in Statistics - Simulation and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/03610918.2014.889158

zbMATH Keywords

statistical process controlestimated parametersrun length distributionaverage run lengthdesign modelmedian run lengthShewhart \(\overline{X}\) chart

Mathematics Subject Classification ID

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

Related Items (3)

Optimal design of one-sided exponential EWMA charts based on median run length and expected median run length ⋮ Synthetic exponential control charts with unknown parameter ⋮ Guaranteed conditional performance of the median run length based EWMA X¯ chart with unknown process parameters

Cites Work

• False Signal Rates for the (X) Control Charts with Runs Tests When Process Parameters Are Estimated
• Combined Shewhart–EWMA control charts with estimated parameters
• Parameter estimation and design considerations in prospective applications of theX¯ chart
• An optimal design of ewma control charts based on median run length
• Joint Monitoring of the Mean and Variance of Combined Control Charts with Estimated Parameters
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