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- Title
Oja Median: Center-Locating Property.
- Authors
Sukhanova, E.
- Abstract
The property of consistency with the point of symmetry is a natural requirement for an arbitrary estimate of the center (for the centrally symmetric distribution this follows from the affine equivariance of the estimate). Different notions of multidimensional symmetry and some of their properties are given in this paper. We establish that in the general case, the multidimensional simplicial Oja median identifies the point of symmetry, if it exists. By this criterion we compare the Oja median with the other best-known multidimensional medians.
- Subjects
DISTRIBUTION (Probability theory); MATHEMATICAL symmetry; MEDIAN (Mathematics); ESTIMATES; CENTER (Mathematics)
- Publication
Journal of Mathematical Sciences, 2018, Vol 228, Issue 5, p566
- ISSN
1072-3374
- Publication type
Article
- DOI
10.1007/s10958-017-3644-5