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Effect of Estimation of the Process Parameters on the Control Limits of 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 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

Suggested Citation

  • Maravelakis, Petros & Panaretos, John & Psarakis, Stelios, 2002. "Effect of Estimation of the Process Parameters on the Control Limits of the Univariate Control Charts for Process Dispersion," MPRA Paper 6386, University Library of Munich, Germany.
    • Handle: RePEc:pra:mprapa:6386
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    Citations

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    Cited by:

    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.
    2. Majid Ahmadabadi & Yaghub Farjami & Mohammad Bameni Moghadam, 2012. "A process control method based on five-parameter generalized lambda distribution," Quality & Quantity: International Journal of Methodology, Springer, vol. 46(4), pages 1097-1111, June.
    3. Johannssen, Arne & Chukhrova, Nataliya & Castagliola, Philippe, 2022. "The performance of the hypergeometric np chart with estimated parameter," European Journal of Operational Research, Elsevier, vol. 296(3), pages 873-899.

    More about this item

    Keywords

    Shewhart charts; S chart; Average run length;
    All these keywords.

    JEL classification:

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

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