Smoothed Empirical Likelihood Methods for Quantile Regression Models

Yoon-Jae Whang

Econometrics from University Library of Munich, Germany

Abstract: The standard confidence regions based on the first-order approximation of quantile regression estimators can be inaccurate in small samples. We show that confidence regions based on the smoothed empirical likelihood ratio have coverage errors of order n^{-1} and may be Bartlett-corrected to produce regions with an error of order n^{-2}, where n denotes the sample size. We further extend these results to censored quantile regression models. Our results are extensions of the previous results of Chen and Hall (1993) to the regression contexts. Also, from the duality of confidence regions and hypothesis tess, our results imply that the smoothed empirical likelihood confidence regions might be more accurate in small samples than the confidence regions that can be constructed from the smoothed bootstrap method recently suggested by Horowitz (1998).

Keywords: Bartlett correction; Bootstrap; Edgeworth expansion; Empirical likelihood; Quantile regression model; Censored quantile regression model (search for similar items in EconPapers)
JEL-codes: C12 C13 C15 (search for similar items in EconPapers)
Pages: 32 pages
Date: 2003-10-23
New Economics Papers: this item is included in nep-ecm and nep-mfd
Note: Type of Document - pdf; prepared on winXP; pages: 32; figures: 2
References: View references in EconPapers View complete reference list from CitEc
Citations: View citations in EconPapers (2)

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Related works:
Journal Article: SMOOTHED EMPIRICAL LIKELIHOOD METHODS FOR QUANTILE REGRESSION MODELS (2006)
Working Paper: Smoothed Empirical Likelihood Methods for Quantile Regression Models (2004)
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Persistent link: https://EconPapers.repec.org/RePEc:wpa:wuwpem:0310005

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