关键词：
and phrases;Complete moment convergence;weighted sums;negatively associated random variables
摘要：
In this work, the complete moment convergence for weighted sums of negatively as-sociated random variables is discussed without assumptions of identical distribution. Under the moment condition E|X|a/(log (1+ |X|))a/-1 <  for the case 0 <  < a with 1 < a 2, the complete moment convergence theorem for weighted sums of negatively associated setup is presented. The main results obtained in this article extend and improve the corresponding ones of Chen and Sung (Stat. Probabil. Lett., 92: 45-52 (2014)), Sung (Stat. Pap., 52: 447-454 (2011)).
期刊：
Communications in Statistics - Theory and Methods,2021年50(3):594-608 ISSN：0361-0926
通讯作者：
Wang, Dingcheng
作者机构：
[Feng, Fengxiang; Wang, Dingcheng] Univ Elect Sci & Technol China, Sch Math Sci, Chengdu 611731, Sichuan, Peoples R China;[Feng, Fengxiang; Wu, Qunying] Guilin Univ Technol, Coll Sci, Guilin, Guangxi, Peoples R China;[Huang, Haiwu] Hengyang Normal Univ, Coll Math & Stat, Hengyang, Hunan, Peoples R China
通讯机构：
[Wang, Dingcheng] U;Univ Elect Sci & Technol China, Sch Math Sci, Chengdu 611731, Sichuan, Peoples R China.
关键词：
Complete convergence;complete moment convergence;sub-linear expectations;negatively dependent random variables;60F15
摘要：
In this article, we study complete and complete moment convergence theorems for arrays of rowwise negatively dependent random variables under the sub-linear expectations. The complete and complete moment convergence theorems in the sense of non-additive capacities are established for arrays of rowwise negatively dependent random variables. Our result improves the corresponding result of Wang et al. relative to the classical probability space.
期刊：
BULLETIN OF THE KOREAN MATHEMATICAL SOCIETY,2020年57(3):607-622 ISSN：1015-8634
通讯作者：
Huang, Haiwu
作者机构：
[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.;[Zhang, Qingxia] Southwest Petr Univ, Sch Sci, Chengdu 610500, 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：
NSD random variables;probability convergence of series
摘要：
In the paper, some probability convergence properties of series for rowwise sums of negatively superadditive dependent (NSD) random variables are discussed. We establish some sharp results on these convergence for NSD random variables under some general settings, which generalize and improve the corresponding ones of some known literatures.
期刊：
BULLETIN OF THE KOREAN MATHEMATICAL SOCIETY,2019年56(4):1007-1025 ISSN：1015-8634
通讯作者：
Huang, Haiwu
作者机构：
[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.;[Zhang, Qingxia] Southwest Petr Univ, Sch Sci, Chengdu 610500, Sichuan, 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 END random variables;complete convergence;complete moment convergence;weighted sums
摘要：
In the present work, the complete convergence and complete moment convergence properties for arrays of rowwise extended negatively dependent (END) random variables are investigated. Some sharp theorems on these strong convergence for weighted sums of END cases are established. These main results not only generalize the known corresponding ones of Cai [2], Wang et al. [17] and Shen [14], but also improve them, respectively.
作者机构：
[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.
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：
ANA random variables;complete convergence;weighted sums
摘要：
In this paper, the author investigates the complete convergence for weighted sums of asymptotically negatively associated (ANA) random variables with different distributions, and obtains some equivalent conditions of complete convergence theorem for weighted sums as well as summation of ANA cases. These results generalize and improve the corresponding ones obtained by Baum and Katz (1965), Peligrad and Gut (1999) and Cai (2006), respectively.
期刊：
JOURNAL OF INEQUALITIES AND APPLICATIONS,2018年2018(1):1-13 ISSN：1029-242X
通讯作者：
Huang, Haiwu
作者机构：
[Wu, Xiongtao; Huang, Haiwu] Hengyang Normal Univ, Coll Math & Stat, Hengyang, Peoples R China.;[Huang, Haiwu] Hunan Prov Key Lab Intelligent Informat Proc & Ap, Hengyang, Peoples R China.;[Zhang, Qingxia] Southwest Petr Univ, Sch Sci, Chengdu, Sichuan, Peoples R China.
通讯机构：
[Huang, Haiwu] H;Hengyang Normal Univ, Coll Math & Stat, Hengyang, Peoples R China.;Hunan Prov Key Lab Intelligent Informat Proc & Ap, Hengyang, Peoples R China.
关键词：
ANA random variables;Complete convergence;Weighed sums;Equivalent conditions
摘要：
In this investigation, some sufficient and necessary conditions of the complete convergence for weighted sums of asymptotically negatively associated (ANA, in short) random variables are presented without the assumption of identical distribution. As an application of the main results, the Marcinkiewicz-Zygmund type strong law of large numbers based on weighted sums of ANA cases is obtained. The results of this paper extend and generalize some well-known corresponding ones.
