Department of Applied Mathematics, Pai Chai University, Taejon 302-735, South Korea
Copyright © 2009 Soo Hak Sung. 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.
An exponential inequality is established for identically distributed negatively associated random variables which have the finite Laplace transforms. The inequality
improves the results of Kim and Kim (2007), Nooghabi and
Azarnoosh (2009), and Xing et al. (2009). We also obtain the convergence rate for the strong law
of large numbers, which improves the corresponding ones of Kim and Kim, Nooghabi
and Azarnoosh, and Xing et al.