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Effect of Estimation of the Process Parameters on the Control Limits of the Univariate Control Charts for Process Dispersion

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Author Info
Maravelakis, Petros
Panaretos, John
Psarakis, Stelios

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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 these charts 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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File URL: http://mpra.ub.uni-muenchen.de/6386/
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Publisher Info
Paper provided by University Library of Munich, Germany in its series MPRA Paper with number 6386.

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Date of creation: 2002
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Publication status: Published in Communications in Statistics B (Simulation & Computation) 3.31(2002): pp. 443-461
Handle: RePEc:pra:mprapa:6386

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Related research
Keywords: Shewhart charts; S chart; Average run length;

Find related papers by JEL classification:
C1 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods: General

Cited by:
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  1. Kiani, Mehdi & Panaretos, John & Psarakis, Stelios, 2008. "A New Procedure to Monitor the Mean of a Quality Characteristic," MPRA Paper 9066, University Library of Munich, Germany. [Downloadable!]
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This page was last updated on 2009-12-19.


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