A note on the complete convergence for sequences of pairwise NQD random variables

被引：21

作者：

Huang, Haiwu ^{[1
,2
]}

Wang, Dingcheng ^{[1
]}

Wu, Qunying ^{[2
]}

Zhang, Qingxia ^{[1
]}

机构：

[1] Univ Elect Sci & Technol China, Sch Math Sci, Chengdu 610054, Peoples R China

[2] Guilin Univ Technol, Coll Sci, Guilin 541004, Peoples R China

来源：

JOURNAL OF INEQUALITIES AND APPLICATIONS | 2011年

基金：

中国国家自然科学基金;

关键词：

pairwise NQD random variable sequences; complete convergence; almost sure convergence;

D O I：

10.1186/1029-242X-2011-92

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, complete convergence and strong law of large numbers for sequences of pairwise negatively quadrant dependent (NQD) random variables with non-identically distributed are investigated. The results obtained generalize and extend the relevant result of Wu (Acta. Math. Sinica. 45(3), 617-624, 2002) for sequences of pairwise NQD random variables with identically distributed.

引用

页数：8

共 50 条

[1] A note on the complete convergence for sequences of pairwise NQD random variables
Haiwu Huang
Dingcheng Wang
Qunying Wu
Qingxia Zhang
[J]. Journal of Inequalities and Applications, 2011
[2] On the Strong Convergence and Complete Convergence for Pairwise NQD Random Variables
Shen, Aiting
Zhang, Ying
Volodin, Andrei
[J]. ABSTRACT AND APPLIED ANALYSIS, 2014,
[3] Complete moment convergence of pairwise NQD random variables
Yang, Wenzhi
Hu, Shuhe
[J]. STOCHASTICS-AN INTERNATIONAL JOURNAL OF PROBABILITY AND STOCHASTIC PROCESSES, 2015, 87 (02) : 199 - 208
[4] Almost everywhere convergence for sequences of pairwise NQD random variables
Yang, Weiguo
Zhu, Daying
Gao, Rong
[J]. COMMUNICATIONS IN STATISTICS-THEORY AND METHODS, 2017, 46 (05) : 2494 - 2505
[5] Convergence of weighted sums for sequences of pairwise NQD random variables
Wu, Yongfeng
Guo, Mingle
[J]. COMMUNICATIONS IN STATISTICS-THEORY AND METHODS, 2016, 45 (20) : 5977 - 5989
[6] Complete Convergence of Generalized Pairwise NQD Sequences
Wang, Hang
Tan, Xili
[J]. MACHINERY ELECTRONICS AND CONTROL ENGINEERING III, 2014, 441 : 742 - 745
[7] Strong convergence of pairwise NQD random sequences
Li, Rui
Yang, Weiguo
[J]. JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2008, 344 (02) : 741 - 747
[8] Complete convergence and the strong laws of large numbers for pairwise NQD random variables
Wu, Yongfeng
Peng, JiangYan
[J]. COMMUNICATIONS IN STATISTICS-THEORY AND METHODS, 2019, 48 (15) : 3864 - 3875
[9] Complete convergence of the non-identically distributed pairwise NQD random sequences
Tan, Xili
Wang, Hang
Zhang, Yong
[J]. COMMUNICATIONS IN STATISTICS-THEORY AND METHODS, 2016, 45 (09) : 2626 - 2637
[10] Some Remarks for Sequences of Pairwise NQD Random Variables
GAN Shixin1
2.Department of Mathematics
[J]. Wuhan University Journal of Natural Sciences, 2010, 15 (06) : 467 - 470

← 1 2 3 4 5 →