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Two-stage quantile regression when the first stage is based on quantile regression

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Tae-Hwan Kim
Christophe Muller

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Abstract

We present the asymptotic properties of double-stage quantile regression estimators with random regressors, where the first stage is based on quantile regressions with the same quantile as in the second stage, which ensures robustness of the estimation procedure. We derive invariance properties with respect to the reformulation of the dependent variable. We propose a consistent estimator of the variance--covariance matrix of the new estimator. Finally, we investigate finite sample properties of this estimator by using Monte Carlo simulations. Copyright Royal Economic Socciety 2004

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Article provided by Royal Economic Society in its journal The Econometrics Journal.

Volume (Year): 7 (2004)
Issue (Month): 1 (06)
Pages: 218-231
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Handle: RePEc:ect:emjrnl:v:7:y:2004:i:1:p:218-231

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References listed on IDEAS
Please report citation or reference errors to , or , if you are the registered author of the cited work, log in to your RePEc Author Service profile, click on "citations" and make appropriate adjustments.:
  1. Amemiya, Takeshi, 1982. "Two Stage Least Absolute Deviations Estimators," Econometrica, Econometric Society, vol. 50(3), pages 689-711, May. [Downloadable!] (restricted)
  2. Tae-Hwan Kim & Christophe Muller, 2004. "Two-stage quantile regression when the first stage is based on quantile regression," Econometrics Journal, Royal Economic Society, vol. 7(1), pages 218-231, 06. [Downloadable!] (restricted)
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  3. Koenker, Roger & Zhao, Quanshui, 1996. "Conditional Quantile Estimation and Inference for Arch Models," Econometric Theory, Cambridge University Press, vol. 12(05), pages 793-813, December. [Downloadable!]
  4. Angel López-Nicolás & Jaume García & Pedro J. Hernández, 2001. "How wide is the gap? An investigation of gender wage differences using quantile regression," Empirical Economics, Springer, vol. 26(1), pages 149-167. [Downloadable!] (restricted)
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  5. Alberto Abadie & Joshua Angrist & Guido Imbens, 2002. "Instrumental Variables Estimates of the Effect of Subsidized Training on the Quantiles of Trainee Earnings," Econometrica, Econometric Society, vol. 70(1), pages 91-117, January. [Downloadable!] (restricted)
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  6. Omar Arias & Walter Sosa-Escudero & Kevin F. Hallock, 2001. "Individual heterogeneity in the returns to schooling: instrumental variables quantile regression using twins data," Empirical Economics, Springer, vol. 26(1), pages 7-40. [Downloadable!] (restricted)
  7. José A. F. Machado & José Mata, 2001. "Earning functions in Portugal 1982-1994: Evidence from quantile regressions," Empirical Economics, Springer, vol. 26(1), pages 115-134. [Downloadable!] (restricted)
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Cited by:
(explanations, Please report citation or reference errors to , or , if you are the registered author of the cited work, log in to your RePEc Author Service profile, click on "citations" and make appropriate adjustments.)

  1. Christophe Muller & Tae-Hwan Kim, 2005. "Two-Stage Huber Estimation," Working Papers. Serie AD 2005-17, Instituto Valenciano de Investigaciones Económicas, S.A. (Ivie). [Downloadable!]
  2. Christophe Muller & Tae-Hwan Kim, 2004. "Two-Stage Quantile Regression When The First Stage Is Based On Quantile Regression," Working Papers. Serie AD 2004-03, Instituto Valenciano de Investigaciones Económicas, S.A. (Ivie). [Downloadable!]
    Other versions:
  3. Joachim Zietz & Emily N. Zietz & G. Stacy Sirmans., 2007. "Determinants of House Prices: A Quantile Regression Approach," Working Papers 200706, Middle Tennessee State University, Department of Economics and Finance. [Downloadable!]
    Other versions:
  4. Paul Mizen & Tae-Hwan Kim & Alan Thanaset, 2007. "Evaluating the Taylor Principle Over the Distribution of the Interest Rate: Evidence from the US, UK and Japan," Money Macro and Finance (MMF) Research Group Conference 2006 51, Money Macro and Finance Research Group. [Downloadable!]
  5. Divine Ikenwilo & Anthony Scott, 2007. "The effects of pay and job satisfaction on the labour supply of hospital consultants," Health Economics, John Wiley & Sons, Ltd., vol. 16(12), pages 1303-1318. [Downloadable!]
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