FURTHER STUDY ON COMPLETE CONVERGENCE FOR WEIGHTED SUMS OF ARRAYS OF ROWWISE ASYMPTOTICALLY ALMOST NEGATIVELY ASSOCIATED RANDOM VARIABLES

Huang Haiwu; Zhang Hanjun; Zhang Qingxia; Peng Jiangyan

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FURTHER STUDY ON COMPLETE CONVERGENCE FOR WEIGHTED SUMS OF ARRAYS OF ROWWISE ASYMPTOTICALLY ALMOST NEGATIVELY ASSOCIATED RANDOM VARIABLES

机译：ROROWISE渐近几乎为负的随机变量的矩阵加权和的完全收敛性的进一步研究

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In this paper, the authors further studied the complete convergence for weighted sums of arrays of rowwise asymptotically almost negatively associated (AANA) random variables with non-identical distribution under some mild moment conditions. As an application, the Marcinkiewicz Zygmund type strong law of large numbers for weighted sums of AANA random variables is obtained. The results not only generalize the corresponding ones of Wang et al. [19], but also partially improve the corresponding ones of Huang et al. [8].

机译：在本文中，作者进一步研究了在某些轻微时刻条件下具有不相同分布的逐行渐近几乎为负相关（AANA）随机变量数组的加权和的完全收敛性。作为应用，获得了Marcinkiewicz Zygmund型AANA随机变量加权和的强数定律。结果不仅概括了Wang等人的相应文献。 [19]，但也部分改善了黄等人。 [8]。

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来源
《Kybernetika》 |2015年第6期|960-972|共13页
作者
Huang Haiwu; Zhang Hanjun; Zhang Qingxia; Peng Jiangyan;
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作者单位

Xiangtan Univ, Sch Math & Computat Sci, Xiangtan 411105, Peoples R China|Hengyang Normal Univ, Coll Math & Stat, Hengyang 421002, Peoples R China;

Xiangtan Univ, Sch Math & Computat Sci, Xiangtan 411105, Peoples R China;

Southwest Petr Univ, Sch Sci, Chengdu 610500, Peoples R China;

Univ Elect Sci & Technol China, Sch Math Sci, Chengdu 610054, Peoples R China;

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正文语种 eng
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关键词
arrays of rowwise AANA random variables; complete convergence; Marcinkiewicz Zygmund type strong law of large numbers; weighted sums;

机译：行式AANA随机变量数组;完全收敛;Marcinkiewicz Zygmund型强数定律;加权和;

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专利

1. Further study on complete convergence for weighted sums of arrays of rowwise asymptotically almost negatively associated random variables [J] . Huang Haiwu, Peng Jiangyan, Zhang Hanjun, Kybernetika . 2015,第6期

机译：行渐近几乎负相关的随机变量数组加权和的完全收敛性的进一步研究
2. On Complete Convergence of Weighted Sums for Arrays of Rowwise Asymptotically Almost Negatively Associated Random Variables [J] . XuejunWang, ShuheHu, WenzhiYang, Abstract and applied analysis . 2012,第14期

机译：行加权渐近负相关随机变量数组加权和的完全收敛性
3. On Complete Convergence of Weighted Sums for Arrays of Rowwise Asymptotically Almost Negatively Associated Random Variables [J] . XuejunWang, ShuheHu, WenzhiYang, Abstract and applied analysis . 2012,第6期

机译：行加权渐近负相关随机变量数组加权和的完全收敛性
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. Further study on complete convergence for weighted sums of arrays of rowwise asymptotically almost negatively associated random variables [O] . Haiwu Huang, Hanjun Zhang, Qingxia Zhang, 2015

机译：进一步研究曲线渐近阵列几乎负相关随机变量的加权和加权总和的完全收敛

FURTHER STUDY ON COMPLETE CONVERGENCE FOR WEIGHTED SUMS OF ARRAYS OF ROWWISE ASYMPTOTICALLY ALMOST NEGATIVELY ASSOCIATED RANDOM VARIABLES

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