Alternative Shewhart-type charts for grouped observations

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

    Research output: Book/ReportReportProfessional

    15 Downloads (Pure)

    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 languageUndefined
    Place of PublicationEnschede
    PublisherUniversity of Twente, Department of Applied Mathematics
    Number of pages14
    Publication statusPublished - 2004

    Publication series

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

    Keywords

    • EWI-3537
    • MSC-62P30
    • IR-65902
    • METIS-218215
    • MSC-62C05

    Cite this

    Albers, WW., & Kallenberg, W. C. M. (2004). Alternative Shewhart-type charts for grouped observations. (Memorandum Faculty of Mathematical Sciences; No. 1717). Enschede: University of Twente, Department of Applied Mathematics.
    Albers, Willem/Wim ; Kallenberg, W.C.M. / Alternative Shewhart-type charts for grouped observations. Enschede : University of Twente, Department of Applied Mathematics, 2004. 14 p. (Memorandum Faculty of Mathematical Sciences; 1717).
    @book{3e0621fad40d4550875df3c3f683dfbf,
    title = "Alternative Shewhart-type charts for grouped observations",
    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.",
    keywords = "EWI-3537, MSC-62P30, IR-65902, METIS-218215, MSC-62C05",
    author = "Willem/Wim Albers and W.C.M. Kallenberg",
    note = "Imported from MEMORANDA",
    year = "2004",
    language = "Undefined",
    series = "Memorandum Faculty of Mathematical Sciences",
    publisher = "University of Twente, Department of Applied Mathematics",
    number = "1717",

    }

    Albers, WW & Kallenberg, WCM 2004, Alternative Shewhart-type charts for grouped observations. Memorandum Faculty of Mathematical Sciences, no. 1717, University of Twente, Department of Applied Mathematics, Enschede.

    Alternative Shewhart-type charts for grouped observations. / Albers, Willem/Wim; Kallenberg, W.C.M.

    Enschede : University of Twente, Department of Applied Mathematics, 2004. 14 p. (Memorandum Faculty of Mathematical Sciences; No. 1717).

    Research output: Book/ReportReportProfessional

    TY - BOOK

    T1 - Alternative Shewhart-type charts for grouped observations

    AU - Albers, Willem/Wim

    AU - Kallenberg, W.C.M.

    N1 - Imported from MEMORANDA

    PY - 2004

    Y1 - 2004

    N2 - 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.

    AB - 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.

    KW - EWI-3537

    KW - MSC-62P30

    KW - IR-65902

    KW - METIS-218215

    KW - MSC-62C05

    M3 - Report

    T3 - Memorandum Faculty of Mathematical Sciences

    BT - Alternative Shewhart-type charts for grouped observations

    PB - University of Twente, Department of Applied Mathematics

    CY - Enschede

    ER -

    Albers WW, Kallenberg WCM. Alternative Shewhart-type charts for grouped observations. Enschede: University of Twente, Department of Applied Mathematics, 2004. 14 p. (Memorandum Faculty of Mathematical Sciences; 1717).