Some exponential inequalities for acceptable random variables and complete convergence
نویسندگان
چکیده
* Correspondence: volodin@math. uregina.ca Department of Mathematics and Statistics, University of Regina, Regina Saskatchewan S4S 0A2, Canada Full list of author information is available at the end of the article Abstract Some exponential inequalities for a sequence of acceptable random variables are obtained, such as Bernstein-type inequality, Hoeffding-type inequality. The Bernsteintype 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.
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