Complete convergence and complete moment convergence for arrays of rowwise ANA random variables

被引：11

作者：

Huang, Haiwu ^{[1
,2
]}

Peng, Jiangyan ^{[3
]}

Wu, Xiongtao ^{[1
]}

Wang, Bin ^{[2
]}

机构：

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

[2] Guilin Univ Technol, Coll Sci, Guilin 541004, Peoples R China

[3] Univ Elect Sci & Technol China, Sch Math Sci, Chengdu 610054, Peoples R China

来源：

JOURNAL OF INEQUALITIES AND APPLICATIONS | 2016年

关键词：

arrays of rowwise ANA random variables; complete convergence; complete moment convergence; weighted sums; WEIGHTED SUMS; RANDOM-FIELDS; MAXIMUM; THEOREM;

D O I：

10.1186/s13660-016-1016-1

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this article, we investigate complete convergence and complete moment convergence for weighted sums of arrays of rowwise asymptotically negatively associated (ANA) random variables. The results obtained not only generalize the corresponding ones of Sung (Stat. Pap. 52: 447-454, 2011), Zhou et al. (J. Inequal. Appl. 2011: 157816, 2011), and Sung (Stat. Pap. 54: 773-781, 2013) to the case of ANA random variables, but also improve them.

引用

页码：1 / 13

页数：13

共 19 条

[1] SOME GENERAL STRONG LAWS FOR WEIGHTED SUMS OF STOCHASTICALLY DOMINATED RANDOM-VARIABLES [J].

ADLER, A ;

ROSALSKY, A .

STOCHASTIC ANALYSIS AND APPLICATIONS, 1987, 5 (01) :1-16

[2]

Adler A., 1989, INT J MATH MATH SCI, V12, P507, DOI DOI 10.1155/S0161171289000657

[3]

Budsaba K., 2007, LOBACHEVSKII J MATH, V26, P17

[4]

Chow Y. S., 1988, B I MATH ACAD SINICA, V16, P177

[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] The Hajek-Renyi inequality and strong law of large numbers for ANA random variables [J].

Ko, Mi-Hwa .

JOURNAL OF INEQUALITIES AND APPLICATIONS, 2014,

[7] Moments of the maximum of normed partial sums of ρ --mixing random variables [J].

Liu Xiang-dong ;

Liu Jin-xia .

APPLIED MATHEMATICS-A JOURNAL OF CHINESE UNIVERSITIES SERIES B, 2009, 24 (03) :355-360

[8] On the strong convergence for weighted sums of ρ *-mixing random variables [J].

Sung, Soo Hak .

STATISTICAL PAPERS, 2013, 54 (03) :773-781

[9] On the strong convergence for weighted sums of random variables [J].

Sung, Soo Hak .

STATISTICAL PAPERS, 2011, 52 (02) :447-454

[10] An almost sure central limit theorem of products of partial sums for ρ--mixing sequences [J].

Tan, Xili ;

Zhang, Ying ;

Zhang, Yong .

JOURNAL OF INEQUALITIES AND APPLICATIONS, 2012,

← 1 2 →