Estimation in Shewhart control charts

Willem/Wim Albers, W.C.M. Kallenberg

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    Abstract

    The influence of the estimation of parameters in Shewhart control charts is investigated. It is shown by simulation and asymptotics that (very) large sample sizes are needed to accurately determine control charts if estimators are plugged in. Correction terms are developed to get accurate control limits for common sample sizes in the in-control situation. Simulation and theory show that the new corrections work very well. The performance of the corrected control charts in the out-of-control situation is studied as well. It turns out that the correction terms do not disturb the behavior of the control charts in the out-of-control situation. On the contrary, for moderate sample sizes the corrected control charts remain powerful and therefore, the recommendation to take at least 300 observations can be reduced to 40 observations when corrected control charts are applied.
    Original languageUndefined
    Place of PublicationEnschede
    PublisherUniversity of Twente, Department of Applied Mathematics
    Publication statusPublished - 2000

    Publication series

    Name
    PublisherDepartment of Applied Mathematics, University of Twente
    No.1559
    ISSN (Print)0169-2690

    Keywords

    • MSC-62P30
    • IR-65746
    • EWI-3379
    • MSC-62F12

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