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Two-Stage Quantile Regression When The First Stage Is Based On Quantile Regression

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Author Info

  • Christophe Muller

    ()
    (Universidad de Alicante)

  • Tae-Hwan Kim

    (Yonsei University)

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.

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File URL: http://www.ivie.es/downloads/docs/wpasad/wpasad-2004-03.pdf
File Function: Fisrt version / Primera version, 2004
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Bibliographic Info

Paper provided by Instituto Valenciano de Investigaciones Económicas, S.A. (Ivie) in its series Working Papers. Serie AD with number 2004-03.

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Length: 19 pages
Date of creation: Jan 2004
Date of revision:
Publication status: Published by Ivie
Handle: RePEc:ivi:wpasad:2004-03

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Related research

Keywords: Two-stage estimation; Quantile regression; Endogeneity.;

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References

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  1. 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.
  2. 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.
  3. Alberto Abadie & Joshua Angrist & Guido Imbens, 1999. "Instrumental Variables Estimates of the Effect of Subsidized Training on the Quantiles of Trainee Earnings," Working papers 99-16, Massachusetts Institute of Technology (MIT), Department of Economics.
  4. 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).
  5. José Ferreira Machado & José Mata, 1998. "Earning Functions in Portugal 1982-1994: Evidence From Quantile Regressions," Working Papers w199802, Banco de Portugal, Economics and Research Department.
  6. Frank A Cowell & Emmanuel Flachaire, 2002. "Sensitivity of Inequality Measures to Extreme Values," STICERD - Distributional Analysis Research Programme Papers 60, Suntory and Toyota International Centres for Economics and Related Disciplines, LSE.
  7. Jaume Garcia & Pedro J. Hernández & Ángel López Nicolás, 1998. "How wide is the gap? An investigation of gender wage differences using quantile regression," Economics Working Papers 287, Department of Economics and Business, Universitat Pompeu Fabra.
  8. Amemiya, Takeshi, 1982. "Two Stage Least Absolute Deviations Estimators," Econometrica, Econometric Society, vol. 50(3), pages 689-711, May.
  9. Buchinsky, Moshe, 1995. "Quantile regression, Box-Cox transformation model, and the U.S. wage structure, 1963-1987," Journal of Econometrics, Elsevier, vol. 65(1), pages 109-154, January.
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Citations

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Cited by:
  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).
  2. Chortareas, Georgios & Magonis, George & Panagiotidis, Theodore, 2012. "The asymmetry of the New Keynesian Phillips Curve in the euro-area," Economics Letters, Elsevier, vol. 114(2), pages 161-163.
  3. Nandy, Monomita & Lodh, Suman, 2012. "Do banks value the eco-friendliness of firms in their corporate lending decision? Some empirical evidence," International Review of Financial Analysis, Elsevier, vol. 25(C), pages 83-93.
  4. Tae-Hwan Kim & Christophe Muller, 2012. "Bias Transmission and Variance Reduction in Two-Stage Quantile Regression," Working Papers halshs-00793372, HAL.
  5. Liao, Wen-Chi & Wang, Xizhu, 2012. "Hedonic house prices and spatial quantile regression," Journal of Housing Economics, Elsevier, vol. 21(1), pages 16-27.
  6. Philip Kostov, 2013. "Empirical likelihood estimation of the spatial quantile regression," Journal of Geographical Systems, Springer, vol. 15(1), pages 51-69, January.
  7. 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.
  8. Sokbae Lee, 2004. "Endogeneity in Quantile Regression Models: A Control Function Approach," Econometric Society 2004 North American Summer Meetings 521, Econometric Society.
  9. Liu, Sezhu & Hite, Diane, 2013. "Measuring the Effect of Green Space on Property Value: An Application of the Hedonic Spatial Quantile Regression," 2013 Annual Meeting, February 2-5, 2013, Orlando, Florida 143045, Southern Agricultural Economics Association.
  10. 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.
  11. Tae-Hwan Kim & Christophe Muller, 2013. "A Test for Endogeneity in Conditional Quantiles," Working Papers halshs-00854527, HAL.
  12. Theodore Panagiotidis & Gianluigi Pelloni, 2014. "Asymmetry and Lilien’s Sectoral Shifts Hypothesis: A Quantile Regression Approach," Working Paper Series 15_14, The Rimini Centre for Economic Analysis.
  13. Paul Mizen & Tae-Hwan Kim & Alan Thanaset, . "Evaluating the Taylor Principle Over the Distribution of the Interest Rate: Evidence from the US, UK and Japan," Discussion Papers 07/05, University of Nottingham, Centre for Finance, Credit and Macroeconomics (CFCM).
  14. 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.

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