王柳柳,胡学平

• 1:安庆师范大学数理学院

摘要(Abstract)：

独立同分布变量序列和相依变量序列的收敛性质研究一直是概率极限理论的研究热点。本文研究了随机变量阵列加权和的r阶矩完全收敛性。利用Marcinkiewicz-Zygmund不等式或Rosenthal型不等式和截尾法，获得了随机变量阵列加权和的r阶矩完全收敛的一般条件。同时，结合这些一般条件推广和改进了独立同分布或相依随机变量序列矩完全收敛性的相关成果。

关键词(KeyWords)： Marcinkiewicz-Zygmund不等式;Rosenthal型不等式;加权和;矩完全收敛性

Abstract:

Keywords:

基金项目(Foundation): 国家社科基金面上项目（21BTJ040）;; 安庆师范大学院级研究生学术创新项目（2021yjsXSCX040）

作者(Author): 王柳柳,胡学平

DOI: 10.13757/j.cnki.cn34-1328/n.2023.01.005

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