On the limiting behavior of the maximum partial sums for arrays of rowwise NA random variables |
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| Authors: | Shixin Gan Pingyan Chen |
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| Affiliation: | aSchool of Mathematics and Statistics, Wuhan University, Wuhan 430072, China;bDepartment of Mathematics, Jinan University, Guangzhou 510630, China |
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| Abstract: | Let {Xni, 1 ≤ n, i < ∞} be an array of rowwise NA random variables and {an, n≥1{ a sequence of constants with {0n↑ ∞ }. The limiting behavior of maximum partial sums is investigated and some new results are obtained. The results extend and improve the corresponding theorems of rowwise independent random variable arrays by Hu and Taylor [1] and Hu and Chang [2]. |
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| Keywords: | NA random variable maximum partial sum complete convergence conver gence in probability |
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