On lower bounds for Lp norms in the central limit theorem for independent and m-dependent random variables

被引：0

作者：

Sunklodas J. ^{[1
,2
]}

机构：

[1] Institute of Mathematics and Informatics, LT-2600 Vilnius

[2] Vilnius Gediminas Technical University, LT-2040 Vilnius

来源：

Lithuanian Mathematical Journal | 2001年 / 41卷 / 3期

关键词：

Central limit theorem; Independent random variables; L[!sub]p[!/sub] norm; Lower bound; m-dependent random variables;

D O I：

10.1023/A:1012814731068

中图分类号：

学科分类号：

摘要：

We derive lower bounds for Lp norms Δnp, 1 ≤ p ≤ ∞, in the central limit theorem for independent and m-dependent random variables with finite fifth order absolute moments and for independent and m-dependent identically distributed random variables with fourth order moments. © 2001 Plenum Publishing Corporation.

引用

页码：292 / 305

页数：13

共 24 条

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