Some exponential inequalities for acceptable random variables and complete convergence

Journal of inequalities and applications

Aiting Shen¹ 

关键词: acceptable random variables;    exponential inequality;    complete convergence;   

DOI  :  10.1186/1029-242X-2011-142

学科分类：数学（综合）

来源: SpringerOpen

【 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. MSC(2000): 60E15, 60F15.

【 授权许可】

CC BY