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Lower Bounds for the Total Variation Distance Given Means and Variances of Distributions
Published 12 Dec 2022 in math.PR, cs.IT, cs.LG, math.IT, math.ST, and stat.TH | (2212.05820v2)
Abstract: 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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