Some limit theorems for negatively associated random variables

被引:0
|
作者
Yu Miao
Wenfei Xu
Shanshan Chen
Andre Adler
机构
[1] Henan Normal University,College of Mathematics and Information Science
[2] Department of Applied Mathematics IIT,undefined
来源
关键词
Negatively associated random variables; -convergence; Marcinkiewicz–Zygmund strong law of large numbers; order statistics.; 60F15;
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摘要
Let {Xn, n ≥ 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 Lp-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.
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页码:447 / 456
页数:9
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