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浙江大学学报(理学版)  2016, Vol. 43 Issue (2): 164-167    DOI: 10.3785/j.issn.1008-9497.2016.02.007
数学与计算机科学     
两两NQD阵列加权和的LP收敛性
宋明珠, 吴永锋, 向亚云
铜陵学院数学与计算机学院, 安徽铜陵 244000
LP convergence for weighted sums of arrays with pairwise NQD sequences
SONG Mingzhu, WU Yongfeng, XIANG Yayun
Institute of Mathematics and Computing, Tongling University, Tongling 244000, Anhui Province, China
 全文: PDF(1277 KB)  
摘要: 研究了两两NQD阵列加权和的LP收敛性,在更弱的条件下得到与陈平炎相同的结论,改进和推广了前人的研究成果.
关键词: 两两NQD阵列加权和LP收敛性    
Abstract: LP convergence for weighted sums of arrays with pairwise NQD sequences was studied. The corresponding results about CHEN are obtained under the weaker conditions, which extends the well-known theorems in the previous papers.
Key words: arrays with pairwise NQD sequences    weighted sums    LP convergence
收稿日期: 2015-05-18 出版日期: 2016-03-12
CLC:  O211.4  
基金资助: 安徽省高校自然科学研究重点项目(Kj2016A705);安徽省高校优秀青年人才支持计划重点项目(gxyqZD2016317).
作者简介: 宋明珠(1979-),ORCID:http://orcid.org/0000-0002-4529-6306,女,硕士,讲师,主要从事随机环境中的马氏链研究,E-mail:songmingzhu2006@126.com.
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引用本文:

宋明珠, 吴永锋, 向亚云. 两两NQD阵列加权和的LP收敛性[J]. 浙江大学学报(理学版), 2016, 43(2): 164-167.

SONG Mingzhu, WU Yongfeng, XIANG Yayun. LP convergence for weighted sums of arrays with pairwise NQD sequences. Journal of ZheJIang University(Science Edition), 2016, 43(2): 164-167.

链接本文:

https://www.zjujournals.com/sci/CN/10.3785/j.issn.1008-9497.2016.02.007        https://www.zjujournals.com/sci/CN/Y2016/V43/I2/164

[1] LEHMAMN E L. Some concepts of dependence[J]. Ann Math Stat, 1966,37:1137-1153.
[2] JOAG-DEV K, PROSCHAN F. Negative association of random variables with applications[J]. Ann-Statist,1983(11):286-295.
[3] NEWMAN C M. Asymptotic independence and limit theorems for positively and negatively dependent random variables[C]//TONG Y L. Inequalities in Statistics and Probability. Hayward:Inst Math Statist,1984(5):127-140.
[4] 王岳宝,严继高,成凤旸,等.关于不同分布两两NQD列的Jamison型加权乘积和的强稳定性[J].数学年刊:A辑,2001,22(6):701-706. WANG Yuebao, YAN Jigao, CHENG Fengyang, et al. On the strong stability for Jamison type weighted product sums of pairwise NQD series with different distribution[J]. Chinese Annals of Mathematics:SerA,2001,22(6):701-706.
[5] 吴群英.两两NQD列的收敛性质[J].数学学报,2002,45(3):617-624. WU Qunying. Convergence properties of pairwise NQD random sequences[J].Acta Mathematica Sinica, 2002,45(3):617-624.
[6] 陈平炎.两两NQD列的强大数定律[J].数学物理学报:A辑,2005,25(3):386-392. CHEN Pingyan. On the strong law of large numbers for pairwise NQD random variables[J].Acta Mathematica Scientia:SerA,2005,25(3):386-392.
[7] 万成高.两两NQD列的大数定律和完全收敛性[J].应用数学学报:中文版,2005,28(2):253-261. WAN Chenggao. Law of large numbers and complete convergence for pairwise NQD random sequences[J]. Acta Mathematicae Applicatae Sinica:Chinese Series,2005,28(2):253-261.
[8] 陈平炎.两两NQD随机序列的Lr收敛性[J].数学物理学报:A辑,2008,28(3):447-453. CHEN Pingyan. Lr convergence for pairwise NQD random variables[J]. Acta Mathematica Scientia:SerA, 2008,28(3):447-453.
[9] WU Y F,GUAN M. Mean convergence theorems and weak laws of large numbers for weighted sums of dependent random variables[J]. J Math Anal Appl,201l,377(2):613-623.
[10] 邱德华,甘师信.两两NQD列随机变量序列的完全收敛性[J].武汉大学学报:理学版,2013,59(3):285-290. QIU Dehua, GAN Shixin. Complete convergence for sequences of pairwise NQD random variables[J]. Journal of Wuhan University:Natural Sciences Edition,2013,59(3):285-290.
[11] 穆燕,汪忠志.关于两两NQD随机序列的一个极限定理[J].应用概率统计,2014,30(3):289-295. MU Yan, WANG Zhongzhi. A limit theorem for pairwise NQD random variables[J]. Chinese Journal of Applied Probability and Statistics,2014,30(3):289-295.
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