Weak laws of large numbers for arrays of dependent random variables

Wang Xinghui; Hu Shuhe

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Weak laws of large numbers for arrays of dependent random variables

机译：因变量随机数组的大数弱定律

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摘要

In this paper, we establish some weak laws of large numbers for arrays of dependent random variables satisfying the conditions of a kind of uniform integrability. Our results extend and improve the corresponding ones.

机译：在本文中，我们为满足一种均匀可积性条件的因变量随机数组建立了一些大数弱定律。我们的结果扩展并改进了相应的结果。

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《Stochastics: An International Journal of Probability and Stochastic Processes》 |2014年第6期|共17页
作者
Wang Xinghui; Hu Shuhe;
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正文语种 eng
中图分类概率论与数理统计;
关键词
uniform integrability; weak law of large numbers; martingale difference; pair-wise NQD sequence; NOD sequence;

机译：一致可积性;弱大数定律;ing差;成对NQD序列;NOD序列;

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专利

1. Weak laws of large numbers for arrays of dependent random variables [J] . Wang Xinghui, Hu Shuhe Stochastics: An International Journal of Probability and Stochastic Processes . 2014,第4a6期

机译：因变量随机数组的大数弱定律
2. A note on weak laws of large numbers for arrays of rowwise negatively quadrant dependent random variables [J] . LIN Zhengyan, PANG Tianxiao Progress in Natural Science . 2003,第7期

机译：关于行负负象限相关随机变量数组的大数弱定律的注记
3. Weak laws of large numbers for arrays of rowwise negatively dependent random variables [J] . R. L.Taylor, R. F.Patterson, A.Bozorgnia International journal of stochastic analysis . 2001,第3期

机译：行负相关随机变量数组的大数弱定律
4. Strong and Weak Laws of Large Numbers for Weighted Sums of Fuzzy Set-Valued Random Variables [C] . Li Guan, Shoumei Li International Conference on Soft Methods in Probability and Statistics(SMPS'2004); 200405; Oviedo(ES) . 2004

机译：模糊集值随机变量加权和的强弱定律
5. STRONG CONVERGENCE THEOREMS FOR EXCHANGEABLE ARRAYS OF RANDOM VARIABLES AND RANDOM ELEMENTS IN BANACH SPACES. [D] . PATTERSON, RONALD FRANK. 1984

机译：Banach空间中随机变量和随机元素的可交换阵列的强收敛定理。
6. Some mean convergence theorems for arrays of rowwise pairwise negative quadrant dependent random variables [O] . Tapas K. Chandra, Deli Li, Andrew Rosalsky -1

机译：行对成对负象限相关随机变量数组的一些平均收敛定理
7. Weak laws of large numbers for arrays of rowwise negatively dependent random variables [O] . R. L. Taylor, R. F. Patterson, A. Bozorgnia 2001

机译：行数负相关随机变量数组的大数弱定律
8. Weak Law of Large Numbers for M-Dependent Random Variables with Unbounded M [R] . van der Genugten, B. B. 1990

机译：具有无界m的m依赖随机变量的弱大数定律

Weak laws of large numbers for arrays of dependent random variables

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