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Most likely balls in Banach spaces: existence and non-existence (2309.02846v1)
Published 6 Sep 2023 in math.FA, math.PR, math.ST, and stat.TH
Abstract: We establish a general criterion for the existence of convex sets of fixed shape as, e.g., balls of a given radius, of maximal probability on Banach spaces. We also provide counterexamples showing that their existence my fail even in some common situations.
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