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Exact results for Shewhart control charts with supplementary runs rules. (English) Zbl 0633.62100

This article gives a simple and efficient method, using Markov chains, to obtain the exact run-length properties of Shewhart control charts with supplementary runs rules. Average run-length comparisons are made among the Shewhart \(\bar X\) chart with supplementary runs rules, the basic Shewhart \(\bar X\) chart, and the cumulative sum (CUSUM) chart.

MSC:

62P30 Applications of statistics in engineering and industry; control charts
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