Some limit theorems for negatively associated random variables

被引：6

作者：

Miao, Yu ^{[1
]}

Xu, Wenfei ^{[1
]}

Chen, Shanshan ^{[1
]}

Adler, Andre ^{[2
]}

机构：

[1] Henan Normal Univ, Coll Math & Informat Sci, Xinxiang 453007, Henan Province, Peoples R China

[2] IIT, Dept Appl Math, Chicago, IL 60657 USA

来源：

PROCEEDINGS OF THE INDIAN ACADEMY OF SCIENCES-MATHEMATICAL SCIENCES | 2014年 / 124卷 / 03期

关键词：

Negatively associated random variables; L-p-convergence; Marcinkiewicz-Zygmund strong law of large numbers; order statistics; DEPENDENT RANDOM-VARIABLES; MOMENT INEQUALITIES; CONVERGENCE; SUMS; LAW;

D O I：

10.1007/s12044-014-0185-4

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Let {X (n) , n a parts per thousand yen 1} be a sequence of negatively associated random variables. The aim of this paper is to establish some limit theorems of negatively associated sequence, which include the L (p) -convergence theorem and Marcinkiewicz-Zygmund strong law of large numbers. Furthermore, we consider the strong law of sums of order statistics, which are sampled from negatively associated random variables.

引用

页码：447 / 456

页数：10

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