END随机变量序列Sung型加权和的矩完全收敛性

数学物理学报 ›› 2018, Vol. 38 ›› Issue (6): 1103-1111.

END随机变量序列Sung型加权和的矩完全收敛性

邱德华¹(),肖娟²()

¹ 广东财经大学统计与数学学院广州 510320
² 衡阳师范学院数学与统计学院湖南衡阳 421002

收稿日期:2017-05-08 出版日期:2018-12-26 发布日期:2018-12-27
作者简介:邱德华, E-mail:qiudhua@sina.com|肖娟, E-mail:xiaojhengyang@163.com
基金资助:
国家自然科学基金(11271161)

Complete Moment Convergence for Sung's Type Weighted Sums Under END Setup

Dehua Qiu¹(),Juan Xiao²()

¹ School of Statistics and Mathematics, Guangdong University of Finance and Economics, Guangzhou 510320
² School of Mathematics and Statistics, Hengyang Normal University, Hunan Hengyang 421002

Received:2017-05-08 Online:2018-12-26 Published:2018-12-27
Supported by:
Supported by the NSFC(11271161)

摘要/Abstract

摘要：

该文利用END随机变量序列部分和的Menshov-Rademacher型不等式，得到了同分布END随机变量序列的Sung型加权和的矩完全收敛性定理，推广和改进了已知的相应的一些结果.

关键词: END随机变量, 矩完全收敛, 加权和

Abstract:

In this paper, the authors study a complete moment convergence result for Sung's type weighted sums of identically distributed END random variables by utilizing the Menshov-Rademacher's inequality of the partial sums of END random variables. The result extends and improves the corresponding theorems in series of previous papers.

Key words: END random variables, Complete moment convergence, Weighted sum

中图分类号:

O211.4

邱德华, 肖娟. END随机变量序列Sung型加权和的矩完全收敛性[J]. 数学物理学报, 2018, 38(6): 1103-1111.

Dehua Qiu, Juan Xiao. Complete Moment Convergence for Sung's Type Weighted Sums Under END Setup[J]. Acta mathematica scientia,Series A, 2018, 38(6): 1103-1111.

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