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.

中文翻译：

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季度中位数

我们介绍并讨论了一个多元版本的经典中位数，它基于关于四分之一空间的均分属性。这些作为与正交基的坐标超平面相关联的半空间的成对交集而出现。我们获得了关于存在性、等方差性和渐近正态性的结果。