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

2006/11/19 by Bo’az Klartag, Klartag, B. · 5 citations
Mathematics · #Point processes and geometric inequalities #Geometric Analysis and Curvature Flows #Nonlinear Partial Differential Equations

paper · pdf · doi:10.48550/arxiv.math/0611577

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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