Alternative Shewhart-type charts for grouped observations

W. Albers, W.C.M. Kallenberg

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    Abstract

    Classical Shewhart control charts based on groups of observations use the average as statistic to decide whether a signal should be produced or not. Here several other statistics are investigated as well. Moreover, individual charts are compared with group charts. The chart using the minimum of each group of observations is a promising new proposal. For this chart (nonparametric) estimation of an extreme quantile is reduced to estimation of an ordinary quantile, which is far easier to perform accurately. The behavior of the minimum-chart is competitive to that of the average-chart when distributions are known.
    Original languageEnglish
    Place of PublicationEnschede
    PublisherUniversity of Twente, Department of Applied Mathematics
    Number of pages14
    Publication statusPublished - 2004

    Publication series

    NameMemorandum
    PublisherUniversity of Twente, Department of Applied Mathematics
    No.1717
    ISSN (Print)0169-2690

    Keywords

    • MSC-62P30
    • MSC-62C05

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  • Cite this

    Albers, W., & Kallenberg, W. C. M. (2004). Alternative Shewhart-type charts for grouped observations. (Memorandum; No. 1717). Enschede: University of Twente, Department of Applied Mathematics.