Combined CUSUM–Shewhart Schemes for Binomial Data

Morais Manuel Cabral and Pacheco António
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Morais Manuel Cabral: Department of Mathematics, Center for Mathematics and Applications (CEMAT), Instituto Superior Técnico, Av. Rovisco Pais, 1049-001 Lisboa, Portugal
Pacheco António: Department of Mathematics, Center for Mathematics and Applications (CEMAT), Instituto Superior Técnico, Av. Rovisco Pais, 1049-001 Lisboa, Portugal

Stochastics and Quality Control, 2006, vol. 21, issue 1, 43-57

Abstract: The detection of upward shifts in a process parameter using a CUSUM scheme can be improved by using an upper one-sided combined CUSUM–Shewhart scheme. Considerable advantage is to be gained since combined schemes take advantage of two well known facts: the Shewhart schemes behave well in case of a large shift, while CUSUM schemes allow a fast detection of small and moderate shifts. Having this in mind, upper one-sided combined CUSUM–Shewhart schemes for binomial data are discussed in detail in this paper. Numerical comparisons between upper one-sided combined CUSUM–Shewhart schemes and upper onesided CUSUM schemes with a 50% head start are also carried out, leading to – what we believe – surprising results.

Keywords: Statistical process control; control scheme; run length (search for similar items in EconPapers)
Date: 2006
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Citations: View citations in EconPapers (1)

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DOI: 10.1515/EQC.2006.43

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