Nonparametric control charts for bivariate high-quality processes

Willem Albers

    Research output: Contribution to journalArticleAcademicpeer-review

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    Abstract

    For attribute data with (very) low rates of defectives, attractive control charts can be based on the maximum of subsequent groups of r failure times, for some suitable r≥1, like r=5. Such charts combine good performance with often highly needed robustness, as they allow a nonparametric adaptation already for Phase I samples of ordinary size. In the present paper we address the problem of extending this approach to the situation where two characteristics have to be monitored simultaneously. Generalization to the multivariate case is straightforward.
    Original languageEnglish
    Pages (from-to)139-154
    Number of pages16
    JournalInternational journal of pure and applied mathematics
    Volume79
    Issue number1
    Publication statusPublished - 2012

    Keywords

    • MSC-62P10
    • Health care monitoring
    • Estimated parameters
    • Average run length
    • Order statistics
    • Statistical process control

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