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Quantile Estimation with a Complex Survey Design

Carol A. Francisco, Wayne A. Fuller

The Annals of Statistics · 1991 · Volume 19 · Issue 1

DOI: 10.1214/aos/1176347993

Abstract

Estimation of the finite population distribution function and related statistics, such as the median and interquartile range, is considered. Large-sample properties of estimators constructed from stratified cluster samples, and properties of large-sample confidence intervals, are established. The results are obtained within the context of a sequence of finite populations generated from a superpopulation.

Keywords

60F05, 62D05, Confidence interval, finite population, interquartile range, quantiles, stratified sampling, test inversion

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