The quarter median

Autor: Baringhaus, Ludwig, Grübel, Rudolf
Rok vydání: 2022
Předmět:
Zdroj: Metrika 85, No. 4, 419-458 (2022)
Druh dokumentu: Working Paper
Popis: 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.
Databáze: arXiv