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.

翻译：我们引入并讨论一个基于四分之一空格设备属性的经典中位数的多变量版本。 它们是与正方形坐标高空相连接的半空的对相交点。 我们从存在、 等式和无等式常态上获取结果。