Power-law estimates for the central limit theorem for convex sets
Metric Geometry
2007-05-23 v2 Probability
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.
Cite
@article{arxiv.math/0611577,
title = {Power-law estimates for the central limit theorem for convex sets},
author = {B. Klartag},
journal= {arXiv preprint arXiv:math/0611577},
year = {2007}
}
Comments
31 pages. Difference from the previous version: A slightly better choice of parameters in Section 4