A Remark on the Exponential Inequality for Associated Random Variables

被引:0
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作者
Xing, Guodong [1 ]
Yang, Shanchao [1 ]
机构
[1] Hunan Univ Sci & Engn, Dept Math, Yongzhou 425100, Hunan, Peoples R China
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中图分类号
TP18 [人工智能理论];
学科分类号
081104 ; 0812 ; 0835 ; 1405 ;
摘要
An exponential inequality for associated random variables is established. By this exponential inequality, we obtain the rate of convergence.. -(1/2) (log n)(1/2) for the strong law of large numbers Sigma(n)(i=1)(X(i) -EX(i))/n -> 0 a.s., which reaches the available one for independent random variables in terms of Berstein type inequality.
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页码:506 / 509
页数:4
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