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A median
estimator for three-dimensional rotation data
Melissa Bingham and Zachary Fischer
Vol. 7 (2014), No. 6, 713–722
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Abstract |
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The median is a way of measuring the center of a set of data that is robust to outlying values. However, the concept of a median for three-dimensional rotation data has been largely nonexistent. Although there are already ways to measure the center of three-dimensional rotation data using the idea of a “mean rotation”, the median estimator developed here is shown to be less influenced by outlying data points. A simulation study that investigates scenarios under which the median is an improvement over the mean will be discussed. An application to a three-dimensional data set in the area of human motion will be considered. |
Keywords
directional statistics, rotations, median
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Mathematical Subject Classification 2010
Primary: 62H11, 62P99
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Milestones
Received: 3 August 2012
Revised: 30 August 2013
Accepted: 13 September 2013
Published: 20 October 2014
Communicated by Michael Dorff
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Authors |
| Melissa Bingham | |
| Department of Mathematics University of Wisconsin - La Crosse 1725 State Street La Crosse, WI 54601 United States |
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| Zachary Fischer | |
| Milliman 15800 W. Bluemound Road Suite 100 Brookfield, WI 53005 United States |
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