A note on the Hajek–Renyi inequality for associated random variables

A Hajek–Renyi type inequality for associated random variables was obtained by Prakasa Rao [Prakasa Rao, B.L.S, 2002, Hajek–Renyi-type inequality for associated sequences. Statist. Probab. Lett. 57, 139–143]. In this paper, we improve the inequality. Some applications are also given.