skip to main content
OSTI.GOV title logo U.S. Department of Energy
Office of Scientific and Technical Information

Title: Oja Median: Center-Locating Property

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.

Authors:
 [1]
  1. Moscow State University (Russian Federation)
Publication Date:
OSTI Identifier:
22771591
Resource Type:
Journal Article
Journal Name:
Journal of Mathematical Sciences
Additional Journal Information:
Journal Volume: 228; Journal 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); Journal ID: ISSN 1072-3374
Country of Publication:
United States
Language:
English
Subject:
97 MATHEMATICAL METHODS AND COMPUTING; COMPARATIVE EVALUATIONS; MANY-DIMENSIONAL CALCULATIONS; SYMMETRY

Citation Formats

Sukhanova, E. M., E-mail: emsukhanova@yandex.ru. Oja Median: Center-Locating Property. United States: N. p., 2018. Web. doi:10.1007/S10958-017-3644-5.
Sukhanova, E. M., E-mail: emsukhanova@yandex.ru. Oja Median: Center-Locating Property. United States. doi:10.1007/S10958-017-3644-5.
Sukhanova, E. M., E-mail: emsukhanova@yandex.ru. Thu . "Oja Median: Center-Locating Property". United States. doi:10.1007/S10958-017-3644-5.
@article{osti_22771591,
title = {Oja Median: Center-Locating Property},
author = {Sukhanova, E. M., E-mail: emsukhanova@yandex.ru},
abstractNote = {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.},
doi = {10.1007/S10958-017-3644-5},
journal = {Journal of Mathematical Sciences},
issn = {1072-3374},
number = 5,
volume = 228,
place = {United States},
year = {2018},
month = {2}
}