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Combined CUSUM–Shewhart Schemes for Binomial Data

  • Manuel Cabral Morais und António Pacheco
Veröffentlicht/Copyright: 15. März 2010
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Stochastics and Quality Control
Aus der Zeitschrift Band 21 Heft 1

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.

Published Online: 2010-03-15
Published in Print: 2006-April

© Heldermann Verlag

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