Inference for Quantiles of a Finite Population: Asymptotic versus Resampling Results

Pier Luigi Conti and Daniela Marella

Scandinavian Journal of Statistics, 2015, vol. 42, issue 2, 545-561

Abstract: type="main" xml:id="sjos12122-abs-0001"> The aim of the paper is to study the problem of estimating the quantile function of a finite population. Attention is first focused on point estimation, and asymptotic results are obtained. Confidence intervals are then constructed, based on both the following: (i) asymptotic results and (ii) a resampling technique based on rescaling the ‘usual’ bootstrap. A simulation study to compare asymptotic and resampling-based results, as well as an application to a real population, is finally performed.

Date: 2015
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