Complete convergence for negatively orthant dependent random variables

被引:5
作者
Qiu, Dehua [1 ]
Wu, Qunying [2 ]
Chen, Pingyan [3 ]
机构
[1] Guangdong Univ Finance & Econ, Sch Math & Stat, Guangzhou 510320, Guangdong, Peoples R China
[2] Guilin Univ Technol, Coll Sci, Guilin 541004, Peoples R China
[3] Jinan Univ, Dept Math, Guangzhou 510630, Guangdong, Peoples R China
基金
中国国家自然科学基金;
关键词
NOD; complete convergence; WEIGHTED SUMS; LARGE NUMBERS; ARRAYS; INEQUALITIES; RATES; LAW;
D O I
10.1186/1029-242X-2014-145
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
In this paper, necessary and sufficient conditions of the complete convergence are obtained for the maximum partial sums of negatively orthant dependent (NOD) random variables. The results extend and improve those in Kuczmaszewska (Acta Math. Hung. 128(1-2):116-130, 2010) for negatively associated (NA) random variables.
引用
收藏
页数:12
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