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On Estimating Quantiles Using Auxiliary Information Cover

On Estimating Quantiles Using Auxiliary Information

By: Yves G. Berger and  Juan F. Munoz  
Open Access
|Mar 2015

Abstract

We propose a transformation-based approach for estimating quantiles using auxiliary information. The proposed estimators can be easily implemented using a regression estimator. We show that the proposed estimators are consistent and asymptotically unbiased. The main advantage of the proposed estimators is their simplicity. Despite the fact the proposed estimators are not necessarily more efficient than their competitors, they offer a good compromise between accuracy and simplicity. They can be used under single and multistage sampling designs with unequal selection probabilities. A simulation study supports our finding and shows that the proposed estimators are robust and of an acceptable accuracy compared to alternative estimators, which can be more computationally intensive.

Language: English
Page range: 101 - 119
Submitted on: Oct 1, 2013
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Accepted on: Nov 1, 2014
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Published on: Mar 1, 2015
Published by: Sciendo
In partnership with: Paradigm Publishing Services
Publication frequency: 4 issues per year

© 2015 Yves G. Berger, Juan F. Munoz, published by Sciendo
This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.