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扩展负相依随机变量完全矩收敛的等价条件

Equivalent conditions of complete moment convergence for extended negatively dependent random variables.

作者信息

Wu Qunying, Zeng Xiang

机构信息

College of Science, Guilin University of Technology, Guilin, 541004 P.R. China.

出版信息

J Inequal Appl. 2017;2017(1):125. doi: 10.1186/s13660-017-1403-2. Epub 2017 May 31.

DOI:10.1186/s13660-017-1403-2
PMID:28680228
原文链接:https://pmc.ncbi.nlm.nih.gov/articles/PMC5487933/
Abstract

In this paper, we study the equivalent conditions of complete moment convergence for sequences of identically distributed extended negatively dependent random variables. As a result, we extend and generalize some results of complete moment convergence obtained by Chow (Bull. Inst. Math. Acad. Sin. 16:177-201, 1988) and Li and Spătaru (J. Theor. Probab. 18:933-947, 2005) from the i.i.d. case to extended negatively dependent sequences.

摘要

在本文中，我们研究了同分布的扩展负相依随机变量序列完全矩收敛的等价条件。作为结果，我们将Chow（《台湾数学期刊》16:177 - 201, 1988）以及Li和Spătaru（《理论概率杂志》18:933 - 947, 2005）所得到的一些完全矩收敛结果，从独立同分布情形推广到扩展负相依序列。

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本文引用的文献

1
On complete convergence and complete moment convergence for weighted sums of -mixing random variables.关于\(\varphi -\)混合随机变量加权和的完全收敛性与完全矩收敛性
J Inequal Appl. 2018;2018(1):121. doi: 10.1186/s13660-018-1710-2. Epub 2018 Jun 1.
2
Complete moment convergence and mean convergence for arrays of rowwise extended negatively dependent random variables.行向扩展负相依随机变量阵列的完全矩收敛和均值收敛
ScientificWorldJournal. 2014 Feb 5;2014:478612. doi: 10.1155/2014/478612. eCollection 2014.

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