An exponential inequality for negatively dependent random variables

An exponential inequality is established for identically distributed negatively dependent random variables. By this exponential inequality, the convergence rate O(1)n(1/2)(logn)(-1/2) for the strong law of large numbers is obtained. This article extended the Soo Hak Sung's results about negativ...

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Published inZhejiang da xue xue bao. Journal of Zhejiang University. Sciences edition. Li xue ban Vol. 38; no. 1; pp. 31 - 37
Main Authors Chen, Xiao-Lin, Wu, Qun-Ying, Zhou, De-Hong
Format Journal Article
LanguageChinese
Published Zhejiang University Press 01.02.2011
Subjects
Convergence
Inequalities
Law
nd随机变量
Random variables
指数不等式
收敛率
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ISSN1008-9497
DOI10.3785/j.issn.1008-9497.2011.01.008

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Summary:An exponential inequality is established for identically distributed negatively dependent random variables. By this exponential inequality, the convergence rate O(1)n(1/2)(logn)(-1/2) for the strong law of large numbers is obtained. This article extended the Soo Hak Sung's results about negatively associated random variables.
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ISSN:1008-9497
DOI:10.3785/j.issn.1008-9497.2011.01.008