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Advances in international applied mathematics. 2020; 2: (1) ; 10.12208/j.aam.20200003.

A Note on Convergences of a Sequence of Random Variables
关于随机变量序列收敛性的一个注记

作者: 朱秀菊*,马婷,胡泽春

四川大学数学学院 四川成都

*通讯作者:朱秀菊,单位:四川大学数学学院 四川成都;

引用本文: 朱秀菊,马婷,胡泽春. 关于随机变量序列收敛性的一个注记[J]. 国际应用数学进展, 2020, 2(1) : 21-26.
Published: 2020-10-20

摘要

在这篇注记中,我们将对随机变量序列的收敛性作一点探讨,主要动机是对论文(Convergence rates in the law of large numbers and new kinds of convergence of random variables, Communication in Statistics - Theory and Methods, DOI: 10.1080/03610926.2020.1716248)中提出的6个问题的前5个给出回答,并就相关问题作一些讨论。

关键词: 完全收敛;强收敛;强收敛;强几乎必然收敛;强依分布收敛

Abstract

In this note, we will make some explorations on convergences of a sequence of random variables. The main motivation is to give the answers to five problems among six open problems introduced in the paper (Convergence rates in the law of large numbers and new kinds of convergence of random variables, Communication in Statistics - Theory and
Methods, DOI: 10.1080/03610926.2020.1716248), and make some related discussions.

Key words: Complete Convergence; StrongConvergence;StrongConvergence;Strongly Almost Sure Convergene; Strong Convergence in Distribution

参考文献 References

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