| 两两NQD列的L_p收敛性和完全收敛性 |
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| 引用本文： | 吴永锋.两两NQD列的L_p收敛性和完全收敛性[J].纯粹数学与应用数学,2008,24(3). |
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| 作者姓名： | 吴永锋 |
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| 作者单位： | 铜陵学院基础教育系,安徽,铜陵,244000 |
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| 基金项目： | 安徽省高校省级自然科研项目，安徽省高校青年教师科研资助计划项目 |
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| 摘 要： | 在较宽泛的条件下研究了不同分布两两NQD列加权和的收敛性质,利用矩不等式和截尾方法,获得了一般双下标加权系数的加权部分和的LP收敛性和完全收敛性定理,推广了前人的相应结果.
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| 关 键 词： | 两两NQD列 加权和 一致可积 Lp收敛性 完全收敛性 |
Law of L_p convergence and complete convergence for the weighted sums of NQD random sequences |
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| WU Yong-feng.Law of L_p convergence and complete convergence for the weighted sums of NQD random sequences[J].Pure and Applied Mathematics,2008,24(3). |
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| Authors: | WU Yong-feng |
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| Institution: | WU Yong-feng Department of Basic Education,Tongling college,Tongling 244000,China |
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| Abstract: | Under very mild conditions, the convergence properties for weighted sums of palrwise NQD random sequences with the different distribution are studied. By the mean's moment inequality and truncated method, the author is able to give the L_p convergence and complete convergence for the general double index weighted partial sums, which extend the corresponding results in a previous paper. |
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| Keywords: | pairwise NQD random sequences weighted sum uniform integrability convergence in the L_p mean complete convergence |
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