A Note on the Kolmogorov-Feller Weak Law of Large Numbers

被引：0

作者：

Yanchun YI ^{[1
]}

Dehua QIU ^{[2
]}

机构：

[1] Department of Mathematics and Computional Science, Hengyang Normal University

[2] School of Mathematics and Statistics, Guangdong University of Finance and Economics

来源：

Journal of Mathematical Research with Applications | 2015年 / 35卷 / 02期

关键词：

Kolmogorov-Feller type weak law of large numbers; negatively associated random variables; independent identically distributed random variables;

D O I：

暂无

中图分类号：

O211.4 [极限理论];

学科分类号：

020208 ; 070103 ; 0714 ;

摘要：

In this paper, the Kolmogorov-Feller type weak law of large numbers are obtained,which extend and improve the related known works in the literature.

引用

页码：223 / 228

页数：6

共 7 条

[1] 同分布的NA序列加权和的强大数律 [J].

邱德华 ;

杨向群 .

数学研究与评论, 2006, (04) :778-784

[2]

Moment inequalities and weak convergence for negatively associated sequences[J]. 苏淳,赵林城,王岳宝. Science in China,Ser.A. 1997(02)

[3]

An Extension of the Kolmogorov–Feller Weak Law of Large Numbers with an Application to the St. Petersburg Game[J] . A. Gut. Journal of Theoretical Probability . 2004 (3)

[4] 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

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

JOAGDEV, K ;

PROSCHAN, F .

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

[6] SOME CONCEPTS OF NEGATIVE DEPENDENCE [J].

BLOCK, HW ;

SAVITS, TH ;

SHAKED, M .

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

[7] 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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