| 行为NA的随机变量阵列加权和的收敛性 |
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| 引用本文： | 王张燕,沃丹妮,王文胜.行为NA的随机变量阵列加权和的收敛性[J].高师理科学刊,2010,30(4):5-8,14. |
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| 作者姓名： | 王张燕 沃丹妮 王文胜 |
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| 作者单位： | 杭州师范大学,理学院,浙江,杭州,310036 |
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| 基金项目： | 国家自然科学基金资助项目 |
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| 摘 要： | 利用NA随机变量序列的矩不等式,得出了行为NA的随机变量阵列加权和在Cesáro一致可积条件下的Lr收敛性和弱大数定律,以及在弱于Cesáro一致可积条件下行为NA的随机变量阵列加权和的完全收敛性,推广和改进了目前该方面的主要结果.
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| 关 键 词： | 行为NA的随机变量阵列 加权和 收敛性 |
Convergence of weighted sums for arrays of Rowwise NA random variables |
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| WANG Zhang-yan,WO Dan-ni,WANG Wen-sheng.Convergence of weighted sums for arrays of Rowwise NA random variables[J].Journal of Science of Teachers＇College and University,2010,30(4):5-8,14. |
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| Authors: | WANG Zhang-yan WO Dan-ni WANG Wen-sheng |
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| Affiliation: | WANG Zhang-yan,WO Dan-ni,WANG Wen-sheng(School of Science,Hangzhou Normal University,Hangzhou 310036,China) |
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| Abstract: | By using one of the moment inequalities of NA random variables,obtained Lr convergence and week laws of large numbers for weighted sums of arrays of NA random variables under Cesàro uniformly conditions and the complete convergence for weighted sums of arrays of NA random variables under conditions weaker than Cesàro uniformly conditions.These results generalize and improve the corresponding results in the current literatures. |
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| Keywords: | arrays of NA random variables weighted sum convergence |
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