The Revisedm-of-kRuns Rule Based on Median Run Length

DOI10.1080/03610918.2011.606950zbMath1272.62151OpenAlexW1980409706MaRDI QIDQ3168362

W. L. Teoh, Michael B. C. Khoo, Zhang Wu, Chun Kit Low

Publication date: 30 October 2012

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

Full work available at URL: https://doi.org/10.1080/03610918.2011.606950

zbMATH Keywords

Markov chainruns rulesaverage run length (ARL)inner limitstandard deviation of the run length (SDRL)median run length (MRL)outer limit

Mathematics Subject Classification ID

Computational methods in Markov chains (60J22) Applications of statistics in engineering and industry; control charts (62P30)

Related Items (4)

Optimal designs of multivariate synthetic |S| control chart based on median run length ⋮ A Study on EWMA charts with runs rules—the Markov chain approach ⋮ Variable Sampling Interval Cumulative Count of Conforming Chart with Runs Rules ⋮ Optimal designs of the exponentially weighted moving average (EWMA) median chart for known and estimated parameters based on median run length

Cites Work

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• Statistical process control using Shewhart control charts with supplementary runs rules
• An optimal design of cumulative sum control chart based on median run length
• An optimal design of ewma control charts based on median run length
• An approach to the probability distribution of cusum run length

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