[1]程书红.行为m- NA阵列的完全收敛性[J].延边大学学报(自然科学版),2022,(04):318-320,331.
　CHENG Shuhong.The complete convergence for arrays of rowwise m- NA[J].Journal of Yanbian University,2022,(04):318-320,331.
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行为m- NA阵列的完全收敛性

《延边大学学报(自然科学版)》[ISSN:1004-4353/CN:22-1191/N] 卷: 期数: 2022年04期 页码: 318-320,331 栏目: 应用科学研究 出版日期: 2022-12-30
Title:
The complete convergence for arrays of rowwise m- NA
文章编号:
1004-4353(2022)04-0318-04
作者:
程书红
(闽南理工学院信息管理学院,福建泉州362700)
Author(s):
CHENG Shuhong
(Minnan University of Science and Technology, Quanzhou 362700, China)
关键词:
m- NA阵列;  完全收敛性;  慢变化函数
Keywords:
m- NA arrays;  complete convergence;  slowly variable function
分类号:
O211.4
文献标志码:
A
摘要:
在研究m- NA阵列行和的收敛性质的基础上,利用截尾方法和矩不等式获得了m- NA阵列的完全收敛性定理.所得结果推广了文献[9]中的研究结果(m- NA随机变量序列要弱于NA随机变量序列).
Abstract:
On the basis of studying the convergence properties of m- NA array row sums, the complete convergence theorem of m- NA array is obtained by using the truncation method and moment inequality.The results obtained generalize the literature [9] results(m- NA random variable sequence is weaker than NA random variable sequence).

参考文献/References:

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[4] HU T C, CHIANG C Y, TAYLOR R L.On complete convergence for arrays of rowwise m- negatively associated random variables[J].Nonlinear Analysis - Theory Methods and Applications, 2009,71:1075 - 1081.
[5] WU Y F, HU T C, VOLODIN A.Complete convergence and complete moment convergence for weighted sums of m- NA random variables[J].Journal of Inequalities and Applications, 2015,2015,Article ID 200:14.
[6] SHEN A, ZHANG Y, XIAO B Q, et al.Moment inequalities for m- negatively associated random variables and their applications[J].Statistical Papers,2017,58(3):911 - 928.
[7] WANG M H, PEI W C, ZHANG Y H, et al.Some strong convergence of partial sums of m- NA random variables[J].Mathematics Quarterly, 2018,33(2):172 - 180.
[8] 白志东,苏淳.关于独立和的完全收敛性[J].中国科学:A辑,1985(5):399 - 412.
[9] STOUT W F.Some results on the complete and almost sure convergence of linear combinations of independent random variables and martingale differences[J].Ann Math Statist, 1968,39:1549 - 1562.
[10] SUNG S H.Complete convergence for weighted sums of arrays of rowwise independent B - valued random variables[J].Stochastic Anal Appl, 1997,15:255 - 267.

相似文献/References:

[1]王宽程.两两NQD随机序列的完全收敛性[J].延边大学学报(自然科学版),2015,41(04):292.
　WANG Kuancheng.Complete convergence for pairwise NQD random sequences[J].Journal of Yanbian University,2015,41(04):292.
[2]王宽程.AANA阵列部分和的收敛性[J].延边大学学报(自然科学版),2018,44(01):19.
　WANG Kuancheng.Convergence of the partial sums for sequence ofAANA random variable[J].Journal of Yanbian University,2018,44(04):19.

备注/Memo

收稿日期: 2022-09-28
基金项目: 福建省中青年教师教育科研项目(JAT200743)
作者简介: 程书红(1979—),女,讲师,研究方向为微积分和常微分方程.

更新日期/Last Update: 2022-12-30