Parametric control charts

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Parametric Control Charts

Standard control charts are based on the assumption that the observations are normally distributed. In practice, normality often fails and consequently the false alarm rate is seriously in error. Application of a nonparametric approach is only possible with many Phase I observations. Since nowadays such very large sample sizes are usually not available, there is need for an intermediate approac...

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Multivariate control chats are generally used in situations where the simultaneous monitoring or control of two or more related quality characteristics is necessary. In most processes in the real world, distribution of the process characteristics are unknown or at least non-normal, so the non-parametric or distribution-free charts are desirable. Most non-parametric statistical process-control t...

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Exceedance probabilities for parametric control charts

Common control charts assume normality and known parameters. Quite often these assumptions are not valid and large relative errors result in the usual performance characteristics, such as the false alarm rate or the average run length. A fully nonparametric approach can form an attractive alternative but requires more Phase I observations than are usually available. Sufficiently large parametri...

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Normal, Parametric and Nonparametric Control Charts: a Data Driven Choice

Standard control charts are often seriously in error when the distributional form of the observations differs from normality. Recently, control charts have been developed for larger parametric families. A third possibility is to apply a suitable (modified version of a) nonparametric control chart. This paper deals with the question when to switch from the control chart based on normality to a p...

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O, ye who believe! If ye will aid, (the cause of) God, He will aid you, and plant your feet firmly. Verily, with every difficulty there is relief. Therefore, when thou art free (from thine immediate task), still labour hard. And to thy Lord turn (all) thy attention.

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ژورنال

عنوان ژورنال: Journal of Statistical Planning and Inference

سال: 2004

ISSN: 0378-3758

DOI: 10.1016/s0378-3758(03)00200-3