Munich Personal RePEc Archive

Effect of Estimation on the Univariate Control Charts for Process Dispersion

Maravelakis, Petros and Panaretos, John and Psarakis, Stelios (2001): Effect of Estimation on the Univariate Control Charts for Process Dispersion. Published in: 5th Hellenic European Conference on Computer Mathematics and its Applications , Vol. 2, (2001)

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Abstract

Control charts are extensively used in many real world applications. Since process parameters are rarely known common practice is to estimate them. Then, the control limits are modified and become actually random variables. In this paper, we deal with the univariate control charts for dispersion for both rational subgroups and individual measurements. We study the effect of estimating the process parameters of this chart on the first two moments of the run length distribution. The results are used for proposing appropriate values of sample size and number of samples in order to make the estimated control limits perform as the theoretical ones.

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