END随机变量序列加权和的矩完全收敛性

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END随机变量序列加权和的矩完全收敛性邱德华¹, 陈平炎², 肖娟³1. 广东财经大学数学与统计学院, 广州 510320;
2. 暨南大学数学系, 广州 510630;
3. 衡阳师范学院数学与统计学院, 衡阳 421002 Complete Moment Convergence for Sequences of END Random Variables QIU Dehua¹, CHEN Pingyan², XIAO Juan³1. School of Mathematics and Statistics, Guangdong University of Finance and Economics, Guangzhou 510320, China;
2. Department of Mathematics, Jinan University, Guangzhou 510630, China;
3. School of Mathematics and Statistics, Hengyang Normal University, Hengyang 421002, China

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摘要本文利用END列部分和的Rademacher-Menshov型矩不等式，得到了同分布END列加权和的最大值矩完全收敛性定理，推广和改进了已知的相应的一些结果.

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收稿日期: 2016-05-20

PACS:

O211.4

基金资助:国家自然科学基金（11271161）资助项目.

引用本文:

邱德华, 陈平炎, 肖娟. END随机变量序列加权和的矩完全收敛性[J]. 应用数学学报, 2017, 40(3): 436-448. QIU Dehua, CHEN Pingyan, XIAO Juan. Complete Moment Convergence for Sequences of END Random Variables. Acta Mathematicae Applicatae Sinica, 2017, 40(3): 436-448.

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