Complete convergence and the strong laws of large numbers for pairwise NQD random variables

被引：1

作者：

Wu, Yongfeng ^{[1
,2
]}

Peng, JiangYan ^{[3
]}

机构：

[1] Tongling Univ, Sch Math & Comp Sci, Tongling 244000, Peoples R China

[2] Chuzhou Univ, Sch Math & Finance, Chuzhou, Anhui, Peoples R China

[3] Univ Elect Sci & Technol China, Sch Math Sci, Chengdu, Sichuan, Peoples R China

来源：

COMMUNICATIONS IN STATISTICS-THEORY AND METHODS | 2019年 / 48卷 / 15期

基金：

中国国家自然科学基金;

关键词：

Pairwise NQD random variables; complete convergence; strong laws of large numbers; LIMIT-THEOREMS; SURE CONVERGENCE; WEIGHTED SUMS; SEQUENCES; ARRAYS;

D O I：

10.1080/03610926.2018.1481979

中图分类号：

O21 [概率论与数理统计]; C8 [统计学];

学科分类号：

020208 ; 070103 ; 0714 ;

摘要：

The authors study the strong convergence for sequences of pairwise negatively quadrant dependent (NQD) random variables under some wide conditions, and present some new theorems on the complete convergence and the strong laws of large numbers. The obtained results extend and improve some theorems in existing literature.

引用

页码：3864 / 3875

页数：12

共 21 条

[1]

EBRAHIMI N, 1981, COMMUN STAT A-THEOR, V10, P307

[2]

Gan SX, 2008, ACTA MATH SCI, V28, P269

[3] 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

[4]

Hu Shuhe, 2013, [Journal of Mathematical Research with Applications, 数学研究及应用], V33, P111

[5] A note on the complete convergence for sequences of pairwise NQD random variables [J].

Huang, Haiwu ;

Wang, Dingcheng ;

Wu, Qunying ;

Zhang, Qingxia .

JOURNAL OF INEQUALITIES AND APPLICATIONS, 2011,

[6] On almost sure convergence for weighted sums of pairwise negatively quadrant dependent random variables [J].

Jabbari, H. .

STATISTICAL PAPERS, 2013, 54 (03) :765-772

[7] NEGATIVE ASSOCIATION OF RANDOM-VARIABLES, WITH APPLICATIONS [J].

JOAGDEV, K ;

PROSCHAN, F .

ANNALS OF STATISTICS, 1983, 11 (01) :286-295

[8] SOME CONCEPTS OF DEPENDENCE [J].

LEHMANN, EL .

ANNALS OF MATHEMATICAL STATISTICS, 1966, 37 (05) :1137-&

[9] Strong convergence of pairwise NQD random sequences [J].

Li, Rui ;

Yang, Weiguo .

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2008, 344 (02) :741-747

[10] A NOTE ON THE ALMOST SURE CONVERGENCE OF SUMS OF NEGATIVELY DEPENDENT RANDOM-VARIABLES [J].

MATULA, P .

STATISTICS & PROBABILITY LETTERS, 1992, 15 (03) :209-213

← 1 2 3 →