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Several Different Types of Convergence for ND Random Variables under Sublinear Expectations
Discrete Dynamics in Nature and Society ( IF 1.4 ) Pub Date : 2021-03-19 , DOI: 10.1155/2021/6653435
Ziwei Liang 1 , Qunying Wu 1
Affiliation  

The goal of this paper is to build average convergence and almost sure convergence for ND (negatively dependent) sequences of random variables under sublinear expectation space. By using the basic definition of sublinear expectation space, Markov inequality, and inequality, we extend average convergence and almost sure convergence theorems for ND sequences of random variables under sublinear expectation space, and we provide a way to learn this subject.

中文翻译:

亚线性期望下ND随机变量的几种不同类型的收敛性

本文的目的是在亚线性期望空间下为ND(负相关)序列的随机变量建立平均收敛和几乎确定的收敛。通过使用亚线性期望空间,Markov不等式和不等式的基本定义,我们扩展了亚线性期望空间下随机变量ND序列的平均收敛性和几乎确定的收敛定理,并提供了学习该主题的方法。
更新日期:2021-03-19
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