| 兰冲锋.行为ND随机变量阵列加权和的完全收敛性[J].数学年刊A辑,2015,36(4):401~410 |
| 行为ND随机变量阵列加权和的完全收敛性 |
| On Complete Convergence of Weighted Sums forArrays of Rowwise Negatively DependentRandom Variables |
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| DOI： |
| 中文关键词: 加权和, ND随机变量, 完全收敛性 |
| 英文关键词:Weighted sums, ND random variables, Complete convergence |
| 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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| 中文摘要: |
| 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. |
| 英文摘要: |
| 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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