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The Scientific World Journal
Volume 2014, Article ID 748242, 6 pages
Research Article

On the Exponential Inequality for Weighted Sums of a Class of Linearly Negative Quadrant Dependent Random Variables

School of Mathematics and Statistics, Guangxi Normal University, Guilin 541004, China

Received 24 August 2013; Accepted 20 November 2013; Published 27 January 2014

Academic Editors: K. Barbé, N. Ganikhodjaev, and A. Kabán

Copyright © 2014 Guodong Xing and Shanchao Yang. 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.


The exponential inequality for weighted sums of a class of linearly negative quadrant dependent random variables is established, which extends and improves the corresponding ones obtained by Ko et al. (2007) and Jabbari et al. (2009). In addition, we also give the relevant precise asymptotics.