| 不同分布NA列的加权和的强极限定理 |
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| 引用本文： | 范伟平,曹玉芬,贾茗.不同分布NA列的加权和的强极限定理[J].湖南文理学院学报(自然科学版),2008,20(4). |
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| 作者姓名： | 范伟平 曹玉芬 贾茗 |
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| 作者单位： | 中南林业科技大学,涉外学院,湖南,长沙,410004;中南林业科技大学,涉外学院,湖南,长沙,410004;中南林业科技大学,涉外学院,湖南,长沙,410004 |
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| 摘 要： | 讨论了不同分布NA列Stout型加权和的完全收敛性和强稳定性.一些文献中对NA列加权和的完全收敛性的结论中要求函数单调,为了扩大定理的应用范围,运用讨论NA阵列加权和的完全收敛性的方法,证明了即使在函数有界的条件下NA列加权和仍是完全收敛的,使得定理得到进一步推广.
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| 关 键 词： | NA列 加权和 完全收敛性 强稳定性 |
Strong limit theorems of weight sums for NA sequences with different distributions |
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| FAN Wei-ping,CAO Yu-fen,JIA Ming.Strong limit theorems of weight sums for NA sequences with different distributions[J].Journal of Hunan University of Arts and Science:Natural Science Edition,2008,20(4). |
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| Authors: | FAN Wei-ping CAO Yu-fen JIA Ming |
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| Institution: | FAN Wei-ping,CAO Yu-fen,JIA Ming(Central South University of Forestry , Technology,Changsha,Hunan,410004) |
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| Abstract: | Complete convergence and strong stability of Stout's Weighted Sums were discussed for NA sequences with sifferent distributions.In paper 2, the fuction was monotony, In order to extend the field of application, the complete converg-ence was discussed for NA array, and the complete convergen-ce was proven for NA under the condition of boundness, and extend the theory. |
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| Keywords: | NA sequences weighted sums complete conver-gence strong stability |
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