Alternative Shewhart-type charts for grouped observations

Willem Albers, Wilbert C.M. Kallenberg

    Research output: Contribution to journalArticleAcademicpeer-review

    9 Citations (Scopus)
    25 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 languageEnglish
    Pages (from-to)357-375
    Number of pages19
    JournalMetron
    VolumeLXIV
    Issue number3
    Publication statusPublished - 2006

    Keywords

    • Statistical process control
    • Phase II control limits
    • Order statistics

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