Control charts for high-quality processes: MAX or CUMAX?

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Control charts for high-quality processes: MAX or CUMAX?

For attribute data with (very) small failure rates control charts were introduced which are based on subsequent groups of r failure times, for some r ≥ 1. Within this family, it was shown to be attractive to stop once the maximum of such a group is sufficiently small, because this choice allows a very satisfactory nonparametric adaptation. The question we address here is whether a cumulative ap...

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For attribute data with (very) small failure rates often control charts are used which decide whether to stop or to continue each time r failures have occurred, for some r ≥ 1. Because of the small probabilities involved, such charts are very sensitive to estimation effects. This is true in particular if the underlying failure rate varies and hence the distributions involved are not geometric. ...

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Nonparametric Control Charts for Bivariate High-quality Processes

For attribute data with (very) low rates of defectives, attractive control charts can be based on the maximum of subsequent groups of r failure times, for some suitable r ≥ 1, like r = 5. Such charts combine good performance with often highly needed robustness, as they allow a nonparametric adaptation already for Phase I samples of ordinary size. In the present paper we address the problem of e...

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For processes concerning attribute data with (very) small failure rate p, often negative binomial control charts are used. The decision whether to stop or continue is made each time r failures have occurred, for some r ≥1. Finding the optimal r for detecting a given increase of p first requires alignment of the charts in terms of in-control behavior. In the present paper binomial charts are sub...

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ژورنال

عنوان ژورنال: Journal of Statistical Planning and Inference

سال: 2012

ISSN: 0378-3758

DOI: 10.1016/j.jspi.2012.01.014