Journal of Inequalities and Applications
Volume 2010 (2010), Article ID 383805, 8 pages
doi:10.1155/2010/383805
Research Article

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

Qunying Wu

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

Received 11 March 2010; Revised 21 June 2010; Accepted 3 August 2010

Academic Editor: Soo Hak Sung

Copyright © 2010 Qunying Wu. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

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.