Power-law estimates for the central limit theorem for convex sets
classification
🧮 math.MG
math.PR
keywords
centralconvexlimitsetstheoremboundsestimatespower-law
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We investigate the rate of convergence in the central limit theorem for convex sets. We obtain bounds with a power-law dependence on the dimension. These bounds are asymptotically better than the logarithmic estimates which follow from the original proof of the central limit theorem for convex sets.
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