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Distribution-free monitoring of univariate processes. (English) Zbl 1225.62173

Summary: We consider statistical process control (SPC) of univariate processes when the observed data are not normally distributed. Most existing SPC procedures are based on the normality assumption. In the literature it has been demonstrated that their performance is unreliable in cases when they are used for monitoring non-normal processes. To overcome this limitation, we propose two SPC control charts for applications when the process data are not normal, and compare them with the traditional CUSUM chart and two recent distribution-free control charts. Some empirical guidelines are provided for practitioners to choose a proper control chart for a specific application with non-normal data.

MSC:

62P30 Applications of statistics in engineering and industry; control charts
62G99 Nonparametric inference

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References:

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