ON THE COMPLETE CONVERGENCE FOR WEIGHTED SUMS OF EXTENDED NEGATIVELY DEPENDENT RANDOM VARIABLES

被引:9
作者
Wu, Yongfeng [1 ]
Zhai, Mingqing [1 ]
Peng, JiangYan [2 ]
机构
[1] Chuzhou Univ, Sch Math & Finance, Chuzhou 239000, Anhui, Peoples R China
[2] Univ Elect Sci & Technol China, Sch Math Sci, Chengdu 611731, Sichuan, Peoples R China
来源
JOURNAL OF MATHEMATICAL INEQUALITIES | 2019年 / 13卷 / 01期
关键词
Extended negatively dependent; weighted sums; complete convergence; PRECISE LARGE DEVIATIONS; LARGE NUMBERS; STRONG LAW; ARRAYS;
D O I
10.7153/jmi-2019-13-18
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
The authors investigate the complete convergence for weighted sums of extended negatively dependent (END) random variables. The main results obtained in the paper extend and improve the corresponding result of Zarei and Jabbari [Zarei, H., Jabbari, H., 2011. Complete convergence of weighted sums under negative dependence. Stat. Papers, 52, 413-418].
引用
收藏
页码:251 / 260
页数:10
相关论文
共 26 条
[1]  
AMINI M., 2003, INT J STOCHASTIC ANA, V16, P121
[2]   THE STRONG LAW OF LARGE NUMBERS FOR EXTENDED NEGATIVELY DEPENDENT RANDOM VARIABLES [J].
Chen, Yiqing ;
Chen, Anyue ;
Ng, Kai W. .
JOURNAL OF APPLIED PROBABILITY, 2010, 47 (04) :908-922
[3]  
EBRAHIMI N, 1981, COMMUN STAT A-THEOR, V10, P307
[4]  
[甘师信 Gan Shixin], 2008, [数学物理学报. A辑, Acta Mathematica Scientia], V28, P283
[5]   COMPLETE CONVERGENCE AND THE LAW OF LARGE NUMBERS [J].
HSU, PL ;
ROBBINS, H .
PROCEEDINGS OF THE NATIONAL ACADEMY OF SCIENCES OF THE UNITED STATES OF AMERICA, 1947, 33 (02) :25-31
[6]   NEGATIVE ASSOCIATION OF RANDOM-VARIABLES, WITH APPLICATIONS [J].
JOAGDEV, K ;
PROSCHAN, F .
ANNALS OF STATISTICS, 1983, 11 (01) :286-295
[7]  
Ko MH, 2005, J KOREAN MATH SOC, V42, P949
[8]  
Ko MH, 2006, J KOREAN MATH SOC, V43, P1325
[9]   Precise large deviations for dependent random variables with heavy tails [J].
Liu, Li .
STATISTICS & PROBABILITY LETTERS, 2009, 79 (09) :1290-1298
[10]   ON THE COMPLETE CONVERGENCE FOR ARRAYS OF ROWWISE EXTENDED NEGATIVELY DEPENDENT RANDOM VARIABLES [J].
Qiu, Dehua ;
Chen, Pingyan ;
Antonini, Rita Giuliano ;
Volodin, Andrei .
JOURNAL OF THE KOREAN MATHEMATICAL SOCIETY, 2013, 50 (02) :379-392