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A Note on the Convergence Rate of Strong Law of Large Numbers for Positively Associated Sequences
Authors:Guo-dong Xing  Shan-chao Yang
Institution: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
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 ): 449462 .Crossref], Web of Science ®] Google Scholar]).
Keywords:Convergence rate  Positively associated  Strong law of large numbers
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