The optimal choice of negative binomial charts for monitoring high-quality processes

Willem/Wim Albers

    Research output: Contribution to journalArticleAcademicpeer-review

    27 Citations (Scopus)

    Abstract

    Good control charts for high quality processes are often based on the number of successes between failures. Geometric charts are simplest in this respect, but slow in recognizing moderately increased failure rates p. Improvement can be achieved by waiting until r > 1 failures have occurred, i.e. by using negative binomial charts.In this paper we analyze such charts in some detail. On the basis of a fair comparison, we demonstrate how the optimal r is related to the degree of increase of p. As in practice p will usually be unknown, we also analyze the estimated version of the charts. In particular, simple corrections are derived to control the non-negligible effects of this estimation step.
    Original languageUndefined
    Article number10.1016/j.jspi.2009.07.005
    Pages (from-to)214-225
    Number of pages12
    JournalJournal of statistical planning and inference
    Volume140
    Issue number1
    DOIs
    Publication statusPublished - 2010

    Keywords

    • MSC-62C05
    • MSC-62F12
    • MSC-62P10
    • Geometric charts
    • Health care monitoring
    • Average run length
    • Statistical Process Control
    • EWI-16086
    • METIS-270692
    • IR-68000
    • Estimated parameters

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