The Bahadur representation for sample quantiles under negatively associated sequence

In this article, we investigate a Bahadur representation of sample quantiles based on negatively associated (NA) sequence. Our results in this note extend Sun’s results [Sun, S.X., 2006. The Bahadur representation of sample quantile under week dependence. Statist. Probab. Lett. 76, 1238–1244] which are obtained under other weak dependence.