Power-law estimates for the central limit theorem for convex sets
Power-law estimates for the central limit theorem for convex sets
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DOI：
10.1016/j.jfa.2006.12.005
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发表时间：
2007-04-01
影响因子：
1.7
通讯作者：
Klartag, B.
中科院分区：
文献类型：
--
作者：
Klartag, B.
研究了文献[B]中建立的凸集中心极限定理的收敛速度。Klartag，A central limit theorem for convex sets.数学、出版中。[8]]。我们得到的范围与幂律依赖的尺寸。这些界限是渐近优于对数估计，遵循原来的证明，凸集的中心极限定理。(C)2006年爱思唯尔公司All rights reserved.
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. (C) 2006 Elsevier Inc. All rights reserved.