Some exponential inequalities for acceptable random variables and complete convergence

被引：4

作者：

Shen, Aiting ^{[2
]}

Hu, Shuhe ^{[2
]}

Volodin, Andrei ^{[1
]}

Wang, Xuejun ^{[2
]}

机构：

[1] Univ Regina, Dept Math & Stat, Regina, SK S4S 0A2, Canada

[2] Anhui Univ, Sch Math Sci, Hefei 230039, Peoples R China

来源：

JOURNAL OF INEQUALITIES AND APPLICATIONS | 2011年

基金：

中国国家自然科学基金;

关键词：

acceptable random variables; exponential inequality; complete convergence; DEPENDENCE;

D O I：

10.1186/1029-242X-2011-142

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Some exponential inequalities for a sequence of acceptable random variables are obtained, such as Bernstein-type inequality, Hoeffding-type inequality. The Bernstein-type inequality for acceptable random variables generalizes and improves the corresponding results presented by Yang for NA random variables and Wang et al. for NOD random variables. Using the exponential inequalities, we further study the complete convergence for acceptable random variables.

引用

页数：10

共 12 条

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