期刊：
Journal of Statistics and Management Systems,2017年20(5):977-993 ISSN：0972-0510
通讯作者：
Haiwu Huang
作者机构：
[Xiongtao Wu] College of Mathematics and Statistics, Hengyang Normal University, Hengyang421002, PR China;College of Science, Guilin University of Technology, Guilin541004, PR China;[Yanchun Yi] Hunan Provincial Key Laboratory of Intelligent Information Processing and Application, Hengyang421002, PR China;[Haiwu Huang] College of Mathematics and Statistics, Hengyang Normal University, Hengyang421002, PR China<&wdkj&>College of Science, Guilin University of Technology, Guilin541004, PR China
通讯机构：
[Haiwu Huang] C;College of Mathematics and Statistics, Hengyang Normal University, Hengyang421002, PR China<&wdkj&>College of Science, Guilin University of Technology, Guilin541004, PR China
摘要：
Abstract In this article, the complete convergence properties of the maximal partial sums of arrays of rowwise pairwise negatively quadrant dependent (PNQD) random variables are investigated, and some new theorems are obtained. These results generalize and improve the corresponding ones of Hu and Taylor (1997), Wan (2005), respectively.
作者机构：
[黄海午] College of Mathematics and Statistics,Hengyang Normal University, Hunan Provincial Key Laboratory of Intelligent Information Processing and Application, Hengyang, 421002
期刊：
JOURNAL OF INEQUALITIES AND APPLICATIONS,2016年2016(1):1-16 ISSN：1029-242X
通讯作者：
Huang, Haiwu
作者机构：
[Ouyang, Mengqian; Huang, Haiwu] Hengyang Normal Univ, Coll Math & Stat, Hengyang 421002, Peoples R China.;[Huang, Haiwu] Hunan Prov Key Lab Intelligent Informat Proc & Ap, Hengyang 421002, Peoples R China.;[Jiang, Yuanying] Guilin Univ Technol, Coll Sci, Guilin 541004, Peoples R China.
通讯机构：
[Huang, Haiwu] H;Hengyang Normal Univ, Coll Math & Stat, Hengyang 421002, Peoples R China.;Hunan Prov Key Lab Intelligent Informat Proc & Ap, Hengyang 421002, Peoples R China.
关键词：
arrays of rowwise ANA random variables;complete convergence;complete moment convergence;mean convergence
摘要：
In this paper, some complete convergence, complete moment convergence, and mean convergence results for arrays of rowwise asymptotically negatively associated (ANA) random variables are obtained. These theorems not only generalize some well-known ones to ANA cases, but they also improve them.
作者机构：
[Zhang, Hanjun; Huang, Haiwu; Zhang, HJ] Xiangtan Univ, Sch Math & Computat Sci, Xiangtan 411105, Peoples R China.;[Huang, Haiwu] Hengyang Normal Univ, Coll Math & Stat, Hengyang 421002, Peoples R China.;[Zhang, Qingxia] Southwest Petr Univ, Sch Sci, Chengdu 610500, Peoples R China.
通讯机构：
[Huang, HW; Zhang, HJ] X;[Huang, Haiwu] H;[Zhang, Qingxia] S;Xiangtan Univ, Sch Math & Computat Sci, Xiangtan 411105, Peoples R China.;Hengyang Normal Univ, Coll Math & Stat, Hengyang 421002, Peoples R China.
关键词：
AANA random variables;Complete convergence;Complete moment convergence;Weighted sums
摘要：
In this work, a complete moment convergence theorem is obtained for weighted sums of asymptotically almost negatively associated (AANA) random variables without assumption of identical distribution under some mild moment conditions. As an application, the complete convergence theorems for weighted sums of negatively associated (NA) and AANA random variables are obtained. The result not only generalizes the corresponding ones of Sung [13] and Huang et al. [8], but also improves them.
关键词：
rho*-mixing sequences of random variables;Marcinkiewicz strong laws;Weighted sums
摘要：
Some strong laws are established for linear statistics that are weighted sums of, where {Xn; n 1} is a sequence of ρ∗-mixing random variables, and {ani; 1 i n, n 1} is an array of real numbers. The results obtained extend and generalize the corresponding results of Guanghui Cai (Anais da Academia Brasileira de Cincias, 78(4):615-621, 2006) for identically distributed ρ∗-mixing sequences of random variables.
作者机构：
[Zhang, Hanjun; Huang, Haiwu] Xiangtan Univ, Sch Math & Computat Sci, Xiangtan 411105, Peoples R China.;[Huang, Haiwu] Hengyang Normal Univ, Coll Math & Stat, Hengyang 421002, Peoples R China.;[Zhang, Qingxia] Southwest Petr Univ, Sch Sci, Chengdu 610500, Peoples R China.;[Peng, Jiangyan] Univ Elect Sci & Technol China, Sch Math Sci, Chengdu 610054, Peoples R China.
通讯机构：
[Huang, Haiwu] X;Xiangtan Univ, Sch Math & Computat Sci, Xiangtan 411105, Peoples R China.
关键词：
Arrays of rowwise AANA random variables;Complete convergence;Marcinkiewicz-Zygmund type strong law of large numbers;Weighted sums
摘要：
In this paper, the authors further studied the complete convergence for weighted sums of arrays of rowwise asymptotically almost negatively associated (AANA) random variables with non-identical distribution under some mild moment conditions. As an application, the Marcinkiewicz Zygmund type strong law of large numbers for weighted sums of AANA random variables is obtained. The results not only generalize the corresponding ones of Wang et al. [19], but also partially improve the corresponding ones of Huang et al. [8].
