行间AANA随机变量阵列加权和的完全矩收敛性

数学物理学报 ›› 2020, Vol. 40 ›› Issue (6): 1670-1681.

行间AANA随机变量阵列加权和的完全矩收敛性

孟兵^1,²,王定成^1,*(),吴群英²

¹ 电子科技大学数学科学学院成都 611731
² 桂林理工大学理学院广西桂林 541004

收稿日期:2019-08-20 出版日期:2020-12-26 发布日期:2020-12-29
通讯作者: 王定成 E-mail:wangdc@uestc.edu.cn
基金资助:
国家自然科学基金(11661029);国家自然科学基金(11661030);广西自然科学基金(2018GXNSFAA281011)

On the Complete Moment Convergence for Weighted Sums of Rowwise Asymptotically Almost Negatively Associated Random Variables

Bing Meng^1,²,Dingcheng Wang^1,*(),Qunying Wu²

¹ School of Mathematical Science, University of Electronic Science and Technology of China, Chengdu 611731
² College of Science, Guilin University of Technology, Guangxi Guilin 541004

Received:2019-08-20 Online:2020-12-26 Published:2020-12-29
Contact: Dingcheng Wang E-mail:wangdc@uestc.edu.cn
Supported by:
the NSFC(11661029);the NSFC(11661030);the Science Foundation of the Guangxi(2018GXNSFAA281011)

摘要/Abstract

摘要：

该文利用AANA随机变量序列的矩不等式, 获得了不同分布条件下AANA随机变量阵列加权和的完全矩收敛性, 所得结果推广和改进了Baek等^[1]和Wang等^[12]的结果.

关键词: AANA随机变量, 完全收敛, 完全矩收敛, 加权和

Abstract:

In this paper, by applying the moment inequality for AANA random sequence, some results on complete moment convergence for weighted sums of AANA random variables are obtained without assumptions of identical distribution, which generalize and improve the corresponding ones of Baek et al. [1] and Wang et al. [12], respectively.

Key words: AANA random variables, Complete convergence, Complete moment convergence, Weighted sums

中图分类号:

O211.4

孟兵,王定成,吴群英. 行间AANA随机变量阵列加权和的完全矩收敛性[J]. 数学物理学报, 2020, 40(6): 1670-1681.

Bing Meng,Dingcheng Wang,Qunying Wu. On the Complete Moment Convergence for Weighted Sums of Rowwise Asymptotically Almost Negatively Associated Random Variables[J]. Acta mathematica scientia,Series A, 2020, 40(6): 1670-1681.

参考文献 18

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