[1]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):19-21.
　WANG Kuancheng.Convergence of the partial sums for sequence ofAANA random variable[J].Journal of Yanbian University,2018,44(01):19-21.
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AANA阵列部分和的收敛性

《延边大学学报(自然科学版)》[ISSN:1004-4353/CN:22-1191/N] 卷: 第44卷 期数: 2018年01期 页码: 19-21 栏目: 基础科学研究 出版日期: 2018-03-20
Title:
Convergence of the partial sums for sequence of AANA random variable
作者:
王宽程
闽南理工学院 信息管理学院, 福建 泉州 362700
Author(s):
WANG Kuancheng
School of Information Management, Minnan University of Science and Technology, Quanzhou 362700, China
关键词:
AANA阵列;  部分和;  完全收敛性
Keywords:
arrays of AANA;  partial sums;  complete convergence
分类号:
O211.4
文献标志码:
A
摘要:
利用AANA序列的性质及Markov不等式,研究了比NA序列更弱的AANA阵列部分和的收敛性.利用截尾方法和矩不等式,证明了AANA阵列的完全收敛性,所得结果改进和推广了文献[8]的结果.
Abstract:
By using the property of asymptotically almost negatively associated sequences and the Markov inequality, we studied the convergence of the partial sums of asymptotically almost negative associated random matrix sequences, which is weaker than negatively associated in this paper. We investigated the complete convergence for the arrays of asymptotically almost AANA by using the means moment inequality and truncated method.The results presented in this paper extend the results of document [8].

参考文献/References:

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[5] Wang X J, Hu S H, Li X Q, et al. Maximal inequalities and strong law of large numbers for AANA sequences [J]. Communications of Korean Mathematical Society, 2011,26:151-161.
[6] 徐怀,唐玲.AANA序列部分和的收敛性质[J].浙江大学学报(理学版),2013,40(4):396-400.
[7] 邱德华.AANA随机变量序列加权和的Teicher型强大数律[J].应用数学,2013,26(2):410-417.
[8] 吴群英,王远清,伍艳春.NA阵列行和最大值的若干极限定理[J].应用概率统计,2006,22(1):56-62.

备注/Memo

收稿日期: 2017-10-18
基金项目: 福建省中青年教师教育科研项目(JAT170739)
作者简介: 王宽程(1981—),男,讲师,研究方向为概率极限理论.

更新日期/Last Update: 2018-03-20