Complete convergence theorems for arrays of row-wise extended negatively dependent random variables under sub-linear expectations

IF 0.6 4区数学 Q4 STATISTICS & PROBABILITY

Communications in Statistics - Theory and Methods Pub Date : 2023-11-02 DOI:10.1080/03610926.2022.2051050

Rong Hu, Qunying Wu

引用次数: 0

Abstract

Abstract The goal of this paper is to establish complete convergence theorems for an array of row-wise END random variables under sub-linear expectation space. As applications of the exponential inequalities, we extend some complete convergence theorems from the traditional probability space to the sub-linear expectation space and our results generalize corresponding results obtained by Hu.

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次线性期望条件下行扩展负相依随机变量阵列的完全收敛定理

摘要本文的目的是在次线性期望空间下，建立一组逐行END随机变量的完全收敛定理。作为指数不等式的应用，我们将一些完全收敛定理从传统的概率空间推广到次线性期望空间，我们的结果推广了Hu的相应结果。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Communications in Statistics - Theory and Methods 数学-统计学与概率论

CiteScore

2.00

自引率

12.50%

发文量

320

审稿时长

7.5 months

期刊介绍： The Theory and Methods series intends to publish papers that make theoretical and methodological advances in Probability and Statistics. New applications of statistical and probabilistic methods will also be considered for publication. In addition, special issues dedicated to a specific topic of current interest will also be published in this series periodically, providing an exhaustive and up-to-date review of that topic to the readership.