Complete convergence for arrays of rowwise negatively orthant dependent random variables

被引:0
作者
Xuejun Wang
Shuhe Hu
Wenzhi Yang
机构
[1] Anhui University,School of Mathematical Science
来源
Revista de la Real Academia de Ciencias Exactas, Fisicas y Naturales. Serie A. Matematicas | 2012年 / 106卷
关键词
Arrays of rowwise negatively orthant dependent random variables; Sequences of negatively orthant dependent random variables; Marcinkiewicz–Zygmund type strong law of large numbers; Complete convergence; 60F15;
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摘要
Let {Xni, i ≥ 1, n ≥ 1} be an array of rowwise negatively orthant dependent random variables. Some sufficient conditions for complete convergence for arrays of rowwise negatively orthant dependent random variables are presented without assumptions of identical distribution. As an application, the Marcinkiewicz–Zygmund type strong law of large numbers for weighted sums of negatively orthant dependent random variables is obtained.
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页码:235 / 245
页数:10
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