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.
Original language | English (US) |
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Pages (from-to) | 1319-1332 |
Number of pages | 14 |
Journal | Journal of Applied Statistics |
Volume | 44 |
Issue number | 8 |
DOIs | |
State | Published - Jun 11 2017 |
Keywords
- Average run length
- control limits
- cusum
- von Mises distribution
- wrapped Cauchy distribution