The lower asymptotically exact constant in the central limit theorem

被引：12

作者：

Shevtsova, I. G. ^{[1
]}

机构：

[1] Moscow MV Lomonosov State Univ, Fac Computat Math & Cybernet, Moscow 119991, Russia

来源：

DOKLADY MATHEMATICS | 2010年 / 81卷 / 01期

基金：

俄罗斯基础研究基金会;

关键词：

This work was supported by the Russian Founda tion for Basic Research (project nos. 08 01 00563; 08; 01; 00567; and; 07; 00152); the State Agency for Sci ence and Innovations (project no. MK 654.2008.1); and the Federal Agency for Education of the Russian Feder ation (contract nos. P 1181 and P 958);

D O I：

10.1134/S1064562410010230

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

A study was conducted to describe the lower asymptotically exact constant in the central limit theorem. The study conducted investigations to prove the existence and find the exact value of the minimum possible coefficient k in the inequality 4. The inequality had c = c(k), which was a finite quantity depending only on k, while the remainder r(n, β) was an infinitesimal of higher order of smallness than the Lyapunov fraction. The investigations referred to this minimal value of k in the inequality 4 as the lower asymptotically exact constant.

引用

页码：83 / 86

页数：4