The Bahadur representations for this quantile estimator are established in order to derive asymptotic properties of the sequential fixed-width confidence intervals estimation for quantiles.

• 作为副产品；获得了分位数估计近邻点的Bahadur表示定理.；这个表示定理是推导分位数固定宽度序贯置信区间估计渐近性质的重要基础