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Cusum control for data following the von Mises distribution

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  • Douglas M. Hawkins
  • F. Lombard

Abstract

The von Mises distribution is widely used for modeling angular data. When such data are seen in a quality control setting, there may be interest in checking whether the values are in statistical control or have gone out of control. A cumulative sum (cusum) control chart has desirable properties for checking whether the distribution has changed from an in-control to an out-of-control setting. This paper develops cusums for a change in the mean direction and concentration of angular data and illustrates some of their properties.

Suggested Citation

  • Douglas M. Hawkins & F. Lombard, 2017. "Cusum control for data following the von Mises distribution," Journal of Applied Statistics, Taylor & Francis Journals, vol. 44(8), pages 1319-1332, June.
    • Handle: RePEc:taf:japsta:v:44:y:2017:i:8:p:1319-1332
    DOI: 10.1080/02664763.2016.1202217
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    References listed on IDEAS

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    1. Ashis Sengupta & Arnab Kumar Laha, 2008. "A Bayesian analysis of the change-point problem for directional data," Journal of Applied Statistics, Taylor & Francis Journals, vol. 35(6), pages 693-700.
    2. P. J. Harrison, 1999. "Statistical process control and model monitoring," Journal of Applied Statistics, Taylor & Francis Journals, vol. 26(2), pages 273-292.
    3. F. Lombard & R. K. Maxwell, 2012. "A cusum procedure to detect deviations from uniformity in angular data," Journal of Applied Statistics, Taylor & Francis Journals, vol. 39(9), pages 1871-1880, April.
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    Cited by:

    1. Arthur Pewsey & Eduardo García-Portugués, 2021. "Recent advances in directional statistics," TEST: An Official Journal of the Spanish Society of Statistics and Operations Research, Springer;Sociedad de Estadística e Investigación Operativa, vol. 30(1), pages 1-58, March.

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