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Power-law estimates for the central limit theorem for convex sets

B. Klartag
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Abstract

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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B. Klartag. 2006-11-27. Power-law estimates for the central limit theorem for convex sets. https://arxiv.org/abs/math/0611577

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