Nonparametric confidence intervals for population quantiles with accurate confidence coefficient based on ranked set sampling

In this paper، first a brief introduction of ranked set sampling is presented. Then، construction of confidence intervals for a quantile of the parent distribution based on ordered ranked set sample is given. Because the corresponding confidence coefficient is an step function، one may not be able to find the exact prescribed value. With this in mind، we introduce a new method and show that one can obtained an optimal confidence interval by appealing the proposed approach. We also compare the proposed scheme with the other existence methods.