Resampling Based Non-Parametric Statistical Inferences about Distribution, Moments and Quantiles of Order Statistics

Abstract

A subject of consideration is the n-th order statistic U(n,k) for independent and identical distributed continuous random variables X1 , X2, ... , Xk. The problem of interest is an estimation of distribution, moments and quantiles, also construction of interval estimators based on the sample X1 , X2, ... , Xn of size n > k. The resampling method is used for this aim. The paper contains analytical analysis of this approach efficiency