A Note on the Convergence Rate of Strong Law of Large Numbers for Positively Associated Sequences |
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| Authors: | Guo-dong Xing Shan-chao Yang |
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| Affiliation: | 1. Department of Mathematics , Hunan University of Science and Engineering , Hunan , P.R. China xingguod@163.com;3. Department of Mathematics , Guangxi Normal University , Guangxi , P.R. China |
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| Abstract: | By the inequalities established in this article, we obtain the convergence rate of strong law of large numbers for positively associated sequences. The results derived extend and improve the corresponding ones in Vronskii (1999 Vronskii , M. A. ( 1999 ). Rate of convergence in the slln for associated sequences and fields . Theory Probab. Appl. 43 ( 3 ): 449 – 462 .[Crossref], [Web of Science ®] , [Google Scholar]). |
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| Keywords: | Convergence rate Positively associated Strong law of large numbers |
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