A Berry-Esseen type inequality for convex bodies with an unconditional basis
classification
🧮 math.PR
math.MG
keywords
convexunconditionalanalysisargumentbasisberry-esseenbodiescentral
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We provide a sharp rate of convergence in the central limit theorem for random vectors with an unconditional, log-concave density. The argument relies on analysis of the Neumann laplacian on convex domains and on the theory of optimal transportation of measures.
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