Open Access Research Article

A Strong Limit Theorem for Weighted Sums of Sequences of Negatively Dependent Random Variables

Qunying Wu

Author Affiliations

College of Science, Guilin University of Technology, Guilin 541004, China

Journal of Inequalities and Applications 2010, 2010:383805 doi:10.1155/2010/383805

Published: 17 August 2010

Abstract

Applying the moment inequality of negatively dependent random variables which was obtained by Asadian et al. (2006), the strong limit theorem for weighted sums of sequences of negatively dependent random variables is discussed. As a result, the strong limit theorem for negatively dependent sequences of random variables is extended. Our results extend and improve the corresponding results of Bai and Cheng (2000) from the i.i.d. case to ND sequences.