COMPLETE CONVERGENCE AND COMPLETE MOMENT CONVERGENCE THEOREMS FOR WEIGHTED SUMS OF ARRAYS OF ROWWISE EXTENDED NEGATIVELY DEPENDENT RANDOM VARIABLES

Haiwu Huang; Qingxia Zhang

首页> 外文期刊>Bulletin of the Korean Mathematical Society >COMPLETE CONVERGENCE AND COMPLETE MOMENT CONVERGENCE THEOREMS FOR WEIGHTED SUMS OF ARRAYS OF ROWWISE EXTENDED NEGATIVELY DEPENDENT RANDOM VARIABLES

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COMPLETE CONVERGENCE AND COMPLETE MOMENT CONVERGENCE THEOREMS FOR WEIGHTED SUMS OF ARRAYS OF ROWWISE EXTENDED NEGATIVELY DEPENDENT RANDOM VARIABLES

机译：ROROWISE矩阵的负相依随机变量的加权和的完全收敛和完全矩收敛定理

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摘要

In the present work, the complete convergence and complete moment convergence properties for arrays of rowwise extended negatively dependent (END) random variables are investigated. Some sharp theorems on these strong convergence for weighted sums of END cases are established. These main results not only generalize the known corresponding ones of Cai [2], Wang et al. [17] and Shen [14], but also improve them, respectively.

机译：在目前的工作中，研究了行扩展负相关（END）随机变量数组的完全收敛性和完全矩收敛性。针对END案例的加权和，建立了关于这些强收敛的一些尖锐定理。这些主要结果不仅概括了蔡[2]，王等。 [17]和沉[14]，也分别对其进行了改进。

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《Bulletin of the Korean Mathematical Society》 |2019年第4期|共19页
作者
Haiwu Huang; Qingxia Zhang;
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中图分类数学;
关键词
arrays of rowwise END random variablescomplete convergencecomplete moment convergenceweighted sums;

机译：逐行END随机变量数组完全收敛完全矩收敛加权和;

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专利

1. Complete and complete moment convergence for weighted sums of arrays of rowwise negatively dependent random variables under the sub-linear expectations [J] . Feng Fengxiang, Wang Dingcheng, Wu Qunying, Communications in Statistics . 2021,第1a3期

机译：在子线性期望下，完成和完整的瞬间收敛于划线呈呈呈依赖性随机变量的加权和
2. A complete convergence theorem for weighted sums of arrays of rowwise negatively dependent random variables [J] . Qunying Wu Journal of inequalities and applications . 2012,第1期

机译：一种完整的汇编定理，用于划线阵列阵列的加权和依赖于随机变量
3. On complete convergence of weighted sums for arrays of rowwise extended negatively dependent random variables [J] . Xuejun Wang, Shijie Wang, Shuhe Hu, Stochastics: An International Journal of Probability and Stochastic Processes . 2013,第4a6期

机译：关于行扩展负相关随机变量数组的加权和的完全收敛
4. Complete convergence for weighted sums of arrays of rowwise negatively dependent random variables [C] . Bing Meng, Dingcheng Wang International Conference on Materials Science, Machinery and Energy Engineering . 2017

机译：完全收敛的划线阵列的加权和依赖于随机变量的加权和
5. A study on complete convergence for arrays of rowwise negatively associated random variables. [D] . Liang, Lingfeng. 2008

机译：行负相关随机变量数组的完全收敛性研究。
6. Complete Moment Convergence and Mean Convergence for Arrays of Rowwise Extended Negatively Dependent Random Variables [O] . Yongfeng Wu, Mingzhu Song, Chunhua Wang -1

机译：行扩展负相关随机变量数组的完全矩收敛和均值收敛
7. A complete convergence theorem for weighted sums of arrays of rowwise negatively dependent random variables [O] . Qunying Wu 2012

机译：行负相关随机变量数组加权和的完整收敛定理

COMPLETE CONVERGENCE AND COMPLETE MOMENT CONVERGENCE THEOREMS FOR WEIGHTED SUMS OF ARRAYS OF ROWWISE EXTENDED NEGATIVELY DEPENDENT RANDOM VARIABLES

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