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The Performance of Control Charts and Cusums Under Linear Trend

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  • A. F. Bissell

Abstract

The run length properties of Control charts and Cusum schemes, under conditions of slippage in mean level by step‐change to a new sustained level, are well documented. Such control procedures are often used where a genuine “out of control” signal may result from gradual, rather than step, changes. The paper presents the results of evaluation of run length under linear trend for some well‐known procedures.

Suggested Citation

  • A. F. Bissell, 1984. "The Performance of Control Charts and Cusums Under Linear Trend," Journal of the Royal Statistical Society Series C, Royal Statistical Society, vol. 33(2), pages 145-151, June.
    • Handle: RePEc:bla:jorssc:v:33:y:1984:i:2:p:145-151
    DOI: 10.2307/2347439
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    Cited by:

    1. Zhou, Qin & Luo, Yunzhao & Wang, Zhaojun, 2010. "A control chart based on likelihood ratio test for detecting patterned mean and variance shifts," Computational Statistics & Data Analysis, Elsevier, vol. 54(6), pages 1634-1645, June.
    2. Su, Yan & Shu, Lianjie & Tsui, Kwok-Leung, 2011. "Adaptive EWMA procedures for monitoring processes subject to linear drifts," Computational Statistics & Data Analysis, Elsevier, vol. 55(10), pages 2819-2829, October.
    3. Hoffmann, Michael & Vetter, Mathias & Dette, Holger, 2018. "Nonparametric inference of gradual changes in the jump behaviour of time-continuous processes," Stochastic Processes and their Applications, Elsevier, vol. 128(11), pages 3679-3723.
    4. Koning, A.J., 1999. "Goodness of fit for the constancy of a classical statistical model over time," Econometric Institute Research Papers EI 9959-/A, Erasmus University Rotterdam, Erasmus School of Economics (ESE), Econometric Institute.
    5. Jean-François Quessy, 2019. "Consistent nonparametric tests for detecting gradual changes in the marginals and the copula of multivariate time series," Statistical Papers, Springer, vol. 60(3), pages 717-746, June.

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