A remark on the exponential inequality for negatively associated random variables

We give an exponential inequality for negatively associated random variables. The inequality improves the corresponding result which was obtained in [Kim, T. S., & Kim, H. C. (2007). On the exponential inequality for negatively dependent sequence. Korean Mathematical Society. Communications, 22(2), 315-321]. We also obtain the convergence rate n−1/2(logn)3/2 for the strong law of large numbers, which improves the corresponding one obtained by the authors in the above-cited reference.