Lr CONVERGENCE FOR WEIGHTED SUMS OF EXTENDED NEGATIVELY DEPENDENT RANDOM VARIABLES

被引：4
|
作者：
Xu, Chen [1 ]
Xi, Mengmei [1 ]
Wang, Xuejun [1 ]
Xia, Hao [1 ]
机构：
[1] Anhui Univ, Sch Math Sci, Hefei 230601, Peoples R China
来源：
JOURNAL OF MATHEMATICAL INEQUALITIES | 2016年 / 10卷 / 04期
基金：
中国国家自然科学基金;
关键词：
Extended negatively dependent random variables; L-r convergence; weighted sums; uniform integrability; PRECISE LARGE DEVIATIONS; LARGE NUMBERS; ARRAYS; LAW;
D O I：
10.7153/jmi-10-92
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we establish some results on L-r convergence for weighted sums of extended negatively dependent random variables under r-th uniform integrability. The results obtained in the paper generalize some corresponding ones for independent random variables and some dependent random variables.
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页码：1157 / 1167
页数：11
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