论文标题
给定平均值和分布方差的总变化距离的下限
Lower Bounds for the Total Variation Distance Given Means and Variances of Distributions
论文作者
论文摘要
对于具有给定均值和方差（协方差矩阵）的真实D空间上的两种概率度量，我们为其总变化距离提供了下限。在一维情况下，给出了一个紧密的绑定。
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.
