Normal control charts with nonparametric safeguard

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

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    Abstract

    Parameter estimation causes a considerable stochastic error in standard Shewhart charts. This problem can be solved using suitable correction factors. But if the normality assumption itself fails, in addition a nonvanishing model error will occur. By then, a nonparametric alternative, such as the recently proposed MIN chart, might be a better idea throughout. However, for those reluctant to give up on the Shewhart chart, a third possibility is offered here. One sticks with this traditional chart as long as the data suggest that the resulting model error is acceptable. Only if this not the case, the MIN chart kicks in and as such serves as a nonparametric safeguard.
    Original languageUndefined
    Place of PublicationEnschede
    PublisherUniversity of Twente, Department of Applied Mathematics
    Number of pages16
    Publication statusPublished - 11 Jan 2007

    Publication series

    NameMemorandum / Department of Applied Mathematics
    PublisherDepartment of Applied Mathematics, University of Twente
    No.1/1817
    ISSN (Print)1874-4850
    ISSN (Electronic)1874-4850

    Keywords

    • EWI-8510
    • IR-66712
    • METIS-241879

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