Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4592868 | Journal of Functional Analysis | 2007 | 27 Pages |
Abstract
We investigate the rate of convergence in the central limit theorem for convex sets established in [B. Klartag, A central limit theorem for convex sets, Invent. Math., in press. [8]]. 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.
Related Topics
Physical Sciences and Engineering
Mathematics
Algebra and Number Theory