| 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(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 for
Arrays of Rowwise Negatively Dependent
Random Variables |
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| LAN Chongfeng.On Complete Convergence of Weighted Sums for
Arrays of Rowwise Negatively Dependent
Random Variables[J].Journal of Hohai University (Natural Sciences ),2015(4):401-410. |
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| Authors: | LAN Chongfeng |
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| Institution: | Department of Economics, Fuyang Normal College, Fuyang 236037, Anhui,
China; Department of Economics and Management, Beijing University of Posts
and Telecommunications, Beijing 100876, China. |
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| Abstract: | In this paper, some sufficient conditions of complete convergence of weighted
sums for arrays of rowwise negatively dependent (ND for short) random variables are pre-
sented without the assumption of identical distribution. These results partly generalize the
corresponding ones for independent random variables and negatively associated (NA for
short) random variables. As an application, the Marcinkiewicz-Zygmund-type strong law of
large 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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