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Journal of Inequalities and Applications

, 2011:142

First Online: 22 December 2011Received: 06 July 2011Accepted: 22 December 2011

Abstract

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.

MSC2000: 60E15, 60F15.

Keywordsacceptable random variables exponential inequality complete convergence  Download fulltext PDF



Author: Aiting Shen - Shuhe Hu - Andrei Volodin - Xuejun Wang

Source: https://link.springer.com/







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