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Lower Bounds for the Total Variation Distance Given Means and Variances of Distributions

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arxiv 2212.05820 v2 pith:6HNBUT4P submitted 2022-12-12 math.PR cs.ITcs.LGmath.ITmath.STstat.TH

Tomohiro Nishiyama This is my paper · ORCID
classification math.PRcs.ITcs.LGmath.ITmath.STstat.TH
keywords givenboundsdistancelowermeanstotalvariancesvariation
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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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