Complete Convergence of Weighted Sums for Arrays of Rowwise m-negatively Associated Random Variables

被引：0

作者：

GUO MING-LE ^{[1
]}

XU CHUN-YU ^{[1
]}

ZHU DONG-JIN ^{[1
]}

机构：

[1] School of Mathematics and Computer Science,Anhui Normal University

来源：

Communications in Mathematical Research | 2014年 / 30卷 / 01期

关键词：

complete convergence; negatively associated; m-negatively associated; weighted sum;

D O I：

10.13447/j.1674-5647.2014.01.005

中图分类号：

O211.5 [随机变量];

学科分类号：

020208 ; 070103 ; 0714 ;

摘要：

In this paper,we discuss the complete convergence of weighted sums for arrays of rowwise m-negatively associated random variables.By applying moment inequality and truncation methods,the sufficient conditions of complete convergence of weighted sums for arrays of rowwise m-negatively associated random variables are established.These results generalize and complement some known conclusions.

引用

页码：41 / 50

页数：10

共 9 条

[1] NA随机变量序列的最大部分和不等式及有界重对数律 [J].

刘立新 ;

吴荣 .

数学学报, 2002, (05) :969-978

[2]

On complete convergence for arrays of rowwise negatively associated random variables[J] . Anna Kuczmaszewska.Statistics and Probability Letters . 2008 (1)

[3]

Large deviations and moderate deviations for m -negatively associated random variables[J] . Hu Yijun,Ming Ruixing,Yang Wenquan.Acta Mathematica Scientia . 2007 (4)

[4]

More on complete convergence for arrays[J] . Soo Hak Sung,Andrei I. Volodin,Tien-Chung Hu.Statistics and Probability Letters . 2004 (4)

[5] A comparison theorem on moment inequalities between negatively associated and independent random variables [J].

Shao, QM .

JOURNAL OF THEORETICAL PROBABILITY, 2000, 13 (02) :343-356

[6] A note on complete convergence for arrays [J].

Hu, TC ;

Szynal, D ;

Volodin, AI .

STATISTICS & PROBABILITY LETTERS, 1998, 38 (01) :27-31

[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 NEGATIVE DEPENDENCE [J].

BLOCK, HW ;

SAVITS, TH ;

SHAKED, M .

ANNALS OF PROBABILITY, 1982, 10 (03) :765-772

[9] POSITIVE DEPENDENCE IN MULTIVARIATE DISTRIBUTIONS [J].

ALAM, K ;

SAXENA, KML .

COMMUNICATIONS IN STATISTICS PART A-THEORY AND METHODS, 1981, 10 (12) :1183-1196

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