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Some asymptotic properties of the circular median |
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| Authors: | Gilles R. Ducharme Philip Milasevic |
| Affiliation: | 1. Départment de mathématiques et de statistique , Université de Montréal , Montréal, Québec, H3C 3J7, Canada;2. UER de mathématiques Faculté SSP , Université de Lausanne , Lausane, Switzerland |
| Abstract: | In this article, the asymptotic distribution of the circular median is derived for symmetric distributions on the circle. Its asymptotic relative efficienty with respect to the mean direction and to an estimator proposed by Watson (1983) is then examined. Special attention is given to the cases where the underlying distribution is von Mises and contaminated von Mises. It is seen that the circular median can perform more efficiently than both estimators in presence of outliers. |
| Keywords: | asymptotic relative efficiency circular median directional data rotationally symmetric distribution von Mises distribution |