SOME EXACT LIMIT THEOREMS FOR NEGATIVELY ASSOCIATED SEQUENCES

被引：0

作者：

Zhao, Yuexu ^{[1
,2
]}

机构：

[1] Zhejiang Univ, Dept Math, Hangzhou 310027, Zhejiang, Peoples R China

[2] Hangzhou Dianzi Univ, Sch Sci, Hangzhou 310018, Zhejiang, Peoples R China

来源：

KYUSHU JOURNAL OF MATHEMATICS | 2013年 / 67卷 / 01期

基金：

中国国家自然科学基金;

关键词：

complete moment convergence; limit behavior; NA sequence; rate of convergence; INDEPENDENT RANDOM-VARIABLES; COMPLETE CONVERGENCE; WEAK-CONVERGENCE; WEIGHTED SUMS;

D O I：

10.2206/kyushujm.67.67

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Using the probability inequalities and the weak invariance principles, the limit behavior of the complete moment convergence for negatively associated (NA) random variables is investigated. Namely, it is shown how fast the series generated by the moments of the sums for NA sequences tends to infinity as epsilon goes to zero.

引用

页码：67 / 81

页数：15

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