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Effect of Estimation on the Univariate Control Charts for Process Dispersion

Author

Listed:
  • Maravelakis, Petros
  • Panaretos, John
  • Psarakis, Stelios

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.

Suggested Citation

  • Maravelakis, Petros & Panaretos, John & Psarakis, Stelios, 2001. "Effect of Estimation on the Univariate Control Charts for Process Dispersion," MPRA Paper 6356, University Library of Munich, Germany.
    • Handle: RePEc:pra:mprapa:6356
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    File URL: https://mpra.ub.uni-muenchen.de/6356/1/MPRA_paper_6356.pdf
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    More about this item

    Keywords

    Shewhart charts; ARL; S chart; X chart;
    All these keywords.

    JEL classification:

    • C1 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods and Methodology: General

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