Complete convergence for weighted sums of negatively dependent random variables

被引：0
作者：
Soo Hak Sung
机构：
[1] Pai Chai University,Department of Applied Mathematics
来源：
Statistical Papers | 2012年 / 53卷
关键词：
Weighted sums; Negatively dependent; Complete convergence; 60F15; 62G05;
D O I：
暂无
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学科分类号：
摘要：
In this paper, we obtain a complete convergence result for weighted sums of negatively dependent random variables under mild conditions of weights. This result generalizes and improves the result of Zarei and Jabbari (Stat Papers doi:10.1007/s00362-009-0238-4, 2009). Our result also extends the result of Taylor et al. (Stoch Anal Appl 20:643–656, 2002) on unweighted average to a weighted average.
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页码：73 / 82
页数：9
相关论文
共 35 条
[1]  
Amini M(2000)Negatively dependent bounded random variable probability inequalities and the strong law of large numbers J Appl Math Stoch Anal 13 261-267
[2]  
Bozorgnia A(2003)Complete convergence for negatively dependent random variables J Appl Math Stoch Anal 16 121-126
[3]  
Amini M(2004)The strong law of large numbers for negatively dependent generalized Gaussian random variables Stoch Anal Appl 22 893-901
[4]  
Bozorgnia A(2007)Some strong limit theorems of weighted sums for negatively dependent generalized Gaussian random variables Stat Probab Lett 77 1106-1110
[5]  
Amini M(2006)Rosenthal’s type inequalities for negatively orthant dependent random variables JIRSS 5 69-75
[6]  
Azarnoosh HA(1966)Some convergence theorems for independent random variables Ann Math Stat 37 1482-1493
[7]  
Bozorgnia A(1981)Multivariate negative dependence Commun Stat Theory Methods A 10 307-337
[8]  
Amini M(1949)On a theorem of Hsu and Robbins Ann Math Stat 20 286-291
[9]  
Zarei H(1947)Complete convergence and the law of large numbers Proc Nat Acad Sci USA 33 25-31
[10]  
Bozorgnia A(1983)Negative association of random variables with applications Ann Stat 11 286-295
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