For arbitrary two probability measures on real d-space with given means and variances (covariance matrices), we provide lower bounds for their total variation distance. In the one-dimensional case, a tight bound is given.

翻译：对于具有给定手段和差异(变量矩阵)的实际 d- 空间的任意两个概率计量,我们为它们总变差距离提供了较低的界限。在一维情况下,给出了紧限。