| 行为ND随机变量阵列加权和的完全收敛性 |
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| 引用本文： | 兰冲锋. 行为ND随机变量阵列加权和的完全收敛性[J]. 河海大学学报(自然科学版), 2015, 0(4): 401-410 |
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| 作者姓名： | 兰冲锋 |
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| 作者单位： | 阜阳师范学院 经济学院, 安徽 阜阳 236037; 北京邮电大学经济管理学院, 北京 100876. |
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| 基金项目： | 本文受到国家自然科学基金 (No.11226200), 安徽省自然科学研究项目(No.2014KJ006) 和阜阳师范学院科学研究项目(No.2014WLGH02)的资助. |
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| 摘 要： | 在非同分布的情况下, 给出了行为ND随机变量阵列加权和的完全收敛性的充分条件, 所得结果部分地推广了独立随机变量和NA随机变量的相应结果. 作为其应用, 获得了ND随机变量序列加权和的Marcinkiewicz-Zygmund型强大数定律.
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| 关 键 词： | 加权和 ND随机变量 完全收敛性 |
On Complete Convergence of Weighted Sums forArrays of Rowwise Negatively DependentRandom Variables |
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| LAN Chongfeng. On Complete Convergence of Weighted Sums forArrays of Rowwise Negatively DependentRandom Variables[J]. Journal of Hohai University (Natural Sciences ), 2015, 0(4): 401-410 |
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| Authors: | LAN Chongfeng |
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| Affiliation: | Department of Economics, Fuyang Normal College, Fuyang 236037, Anhui,China; Department of Economics and Management, Beijing University of Postsand Telecommunications, Beijing 100876, China. |
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| Abstract: | In this paper, some sufficient conditions of complete convergence of weightedsums for arrays of rowwise negatively dependent (ND for short) random variables are pre-sented without the assumption of identical distribution. These results partly generalize thecorresponding ones for independent random variables and negatively associated (NA forshort) random variables. As an application, the Marcinkiewicz-Zygmund-type strong law oflarge numbers for weighted sums of negatively dependent random variables is obtained. |
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| Keywords: | Weighted sums ND random variables Complete convergence |
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