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 Correspondence should be addressed to Qunying Wu, [email protected] Received 11 March 2010; Revised 21 June 2010; Accepted 3 August 2010 Academic Editor: Soo Hak Sung Copyright q 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. 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.