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Guaranteed conditional performance of the S2 control chart with estimated parameters

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  • Alireza Faraz
  • William H. Woodall
  • C. Heuchenne

Abstract

We evaluate the in-control performance of the S2 control chart with estimated parameters conditional on the Phase I sample. Simulation results indicate no realistic amount of Phase I data is enough to have confidence that the in-control average run length (ARL) obtained will be near the desired value. To overcome this problem, we adjust the S2 chart’s control limits such that the in-control ARL is guaranteed to be above a specified value with a certain specified probability. The required adjustment does not have too much of an adverse effect on the out-of-control performance of the chart.

Suggested Citation

  • Alireza Faraz & William H. Woodall & C. Heuchenne, 2015. "Guaranteed conditional performance of the S2 control chart with estimated parameters," International Journal of Production Research, Taylor & Francis Journals, vol. 53(14), pages 4405-4413, July.
    • Handle: RePEc:taf:tprsxx:v:53:y:2015:i:14:p:4405-4413
    DOI: 10.1080/00207543.2015.1008112
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    Cited by:

    1. Weiß, Christian H. & Steuer, Detlef & Jentsch, Carsten & Testik, Murat Caner, 2018. "Guaranteed conditional ARL performance in the presence of autocorrelation," Computational Statistics & Data Analysis, Elsevier, vol. 128(C), pages 367-379.
    2. Wei-Heng Huang, 2022. "The Performance of S Control Charts for the Lognormal Distribution with Estimated Parameters," Sustainability, MDPI, vol. 14(24), pages 1-16, December.
    3. Shahid Hussain & Sun Mei & Muhammad Riaz & Saddam Akber Abbasi, 2020. "On Phase-I Monitoring of Process Location Parameter with Auxiliary Information-Based Median Control Charts," Mathematics, MDPI, vol. 8(5), pages 1-21, May.

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