SPATIAL MEDIAN AND DIRECTIONAL-DATA
成果类型：
Note
署名作者：
DUCHARME, GR; MILASEVIC, P
署名单位：
University of Fribourg
刊物名称：
BIOMETRIKA
ISSN/ISSBN：
0006-3444
DOI：
10.1093/biomet/74.1.212
发表日期：
1987
页码：
212215
关键词：
摘要：
We introduce the normalized spatial median as an estimator of location for rotationally symmetric distributions on the hypersphere. We investigate some of its asymptotic properties and use them to obtain confidence regions for the modal direction of a distribution on the hypersphere. These results are then applied to the von Mises-Fisher distribution and to a contamination model. It is seen that the normalized spatial median can perform more efficiently than the normalized mean in presence of outliers.