The quarter median
Statistics Theory
2022-06-24 v1 Statistics Theory
Abstract
We introduce and discuss a multivariate version of the classical median that is based on an equipartition property with respect to quarter spaces. These arise as pairwise intersections of the half-spaces associated with the coordinate hyperplanes of an orthogonal basis. We obtain results on existence, equivariance, and asymptotic normality.
Cite
@article{arxiv.2206.11763,
title = {The quarter median},
author = {Ludwig Baringhaus and Rudolf Grübel},
journal= {arXiv preprint arXiv:2206.11763},
year = {2022}
}