COMPLETE CONVERGENCE AND COMPLETE MOMENT CONVERGENCE THEOREMS FOR WEIGHTED SUMS OF ARRAYS OF ROWWISE EXTENDED NEGATIVELY DEPENDENT RANDOM VARIABLES

被引：2

作者：

Huang, Haiwu ^{[1
,2
]}

Zhang, Qingxia ^{[3
]}

机构：

[1] Hengyang Normal Univ, Coll Math & Stat, Hengyang 421002, Peoples R China

[2] Hunan Prov Key Lab Intelligent Informat Proc & Ap, Hengyang 421002, Peoples R China

[3] Southwest Petr Univ, Sch Sci, Chengdu 610500, Sichuan, Peoples R China

来源：

BULLETIN OF THE KOREAN MATHEMATICAL SOCIETY | 2019年 / 56卷 / 04期

关键词：

arrays of rowwise END random variables; complete convergence; complete moment convergence; weighted sums; PRECISE LARGE DEVIATIONS;

D O I：

10.4134/BKMS.b180791

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

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.

引用

页码：1007 / 1025

页数：19

共 27 条

[1] Asadian N, 2006, JIRSS-J IRAN STAT SO, V5, P69
[2] Strong laws for weighted sums of NA random variables
Cai, Guang-hui
[J]. METRIKA, 2008, 68 (03) : 323 - 331
[3] THE STRONG LAW OF LARGE NUMBERS FOR EXTENDED NEGATIVELY DEPENDENT RANDOM VARIABLES
Chen, Yiqing
Chen, Anyue
Ng, Kai W.
[J]. JOURNAL OF APPLIED PROBABILITY, 2010, 47 (04) : 908 - 922
[4] Chow YS., 1988, Bull Inst Math Acad Sinica, V16, P177
[5] EBRAHIMI N, 1981, COMMUN STAT A-THEOR, V10, P307
[6] Hu TC, 2015, SANKHYA SER A, V77, P1
[7] NEGATIVE ASSOCIATION OF RANDOM-VARIABLES, WITH APPLICATIONS
JOAGDEV, K
PROSCHAN, F
[J]. ANNALS OF STATISTICS, 1983, 11 (01) : 286 - 295
[8] SOME CONCEPTS OF DEPENDENCE
LEHMANN, EL
[J]. ANNALS OF MATHEMATICAL STATISTICS, 1966, 37 (05): : 1137 - &
[9] Liu Cunchao, 2015, [Communications in Mathematical Research, 数学研究通讯], V31, P40
[10] Necessary and sufficient conditions for moderate deviations of dependent random variables with heavy tails
Liu Li
[J]. SCIENCE CHINA-MATHEMATICS, 2010, 53 (06) : 1421 - 1434

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