Papers › Lower Bounds for the Total Variation Distance Given Means and Variances of Distributions
Lower Bounds for the Total Variation Distance Given Means and Variances of Distributions
Tomohiro Nishiyama
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.
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