Cusum control for data following the von Mises distribution

Douglas M. Hawkins, F. Lombard

Research output: Contribution to journalArticlepeer-review

3 Scopus citations


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.

Original languageEnglish (US)
Pages (from-to)1319-1332
Number of pages14
JournalJournal of Applied Statistics
Issue number8
StatePublished - Jun 11 2017


  • Average run length
  • control limits
  • cusum
  • von Mises distribution
  • wrapped Cauchy distribution


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