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

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

2006-11-19

arxiv.org/abs/math/0611577v2

Mathematics

Metric Geometry

31 pages. Difference from the previous version: A slightly better choice of parameters in Section 4

Scientific paper

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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