Oja Median: Center-Locating Property

Journal Article · Thu Feb 15 00:00:00 EST 2018 · Journal of Mathematical Sciences

DOI:https://doi.org/10.1007/S10958-017-3644-5· OSTI ID:22771591

Sukhanova, E. M., E-mail: [e-mail] ^[1]

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1. Moscow State University (Russian Federation)

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.

• OSTI ID: 22771591
• Journal Information: Journal of Mathematical Sciences, Vol. 228, Issue 5; Conference: International seminar on stability problems for stochastic models, Zakopane (Poland), 31 May - 5 Jun 2009; Other Information: Copyright (c) 2018 Springer Science+Business Media, LLC, part of Springer Nature; http://www.springer-ny.com; Country of input: International Atomic Energy Agency (IAEA); ISSN 1072-3374
• Country of Publication: United States
• Language: English

Related Subjects

97 MATHEMATICAL METHODS AND COMPUTING
COMPARATIVE EVALUATIONS
MANY-DIMENSIONAL CALCULATIONS
SYMMETRY