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20182023
most citedOn Relations Between the Relative entropy and -Divergence, Generalizations and Applications

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math.PR2022

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-…