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Unconditional Quantile Regressions

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Author Info
Sergio Firpo
Nicole M. Fortin
Thomas Lemieux

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Abstract

We propose a new regression method to evaluate the impact of changes in the distribution of the explanatory variables on quantiles of the unconditional (marginal) distribution of an outcome variable. The proposed method consists of running a regression of the (recentered) influence function (RIF) of the unconditional quantile on the explanatory variables. The influence function, a widely used tool in robust estimation, is easily computed for quantiles, as well as for other distributional statistics. Our approach, thus, can be readily generalized to other distributional statistics. Copyright 2009 The Econometric Society.

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Publisher Info
Article provided by Econometric Society in its journal Econometrica.

Volume (Year): 77 (2009)
Issue (Month): 3 (05)
Pages: 953-973
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Handle: RePEc:ecm:emetrp:v:77:y:2009:i:3:p:953-973

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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. James J. Heckman & Edward J. Vytlacil, 2000. "Local Instrumental Variables," NBER Technical Working Papers 0252, National Bureau of Economic Research, Inc. [Downloadable!] (restricted)
  2. David Card & Thomas Lemieux & W. Craig Riddell, 2004. "Unions and Wage Inequality," Journal of Labor Research, Transaction Publishers, vol. 25(4), pages 519-562, October. [Downloadable!] (restricted)
  3. Koenker, Roger W & Bassett, Gilbert, Jr, 1978. "Regression Quantiles," Econometrica, Econometric Society, vol. 46(1), pages 33-50, January. [Downloadable!] (restricted)
  4. Fortin, N.M. & Lemieux, T., 1996. "Rank Regressions, Wage Distributions and the Gender Gap," Cahiers de recherche 9607, Centre interuniversitaire de recherche en économie quantitative, CIREQ.
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  5. Card, David, 2001. "Estimating the Return to Schooling: Progress on Some Persistent Econometric Problems," Econometrica, Econometric Society, vol. 69(5), pages 1127-60, September.
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  6. Card, David, 1996. "The Effect of Unions on the Structure of Wages: A Longitudinal Analysis," Econometrica, Econometric Society, vol. 64(4), pages 957-79, July. [Downloadable!] (restricted)
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  1. Baron, Juan & Cobb-Clark, Deborah, 2008. "Occupational Segregation and the Gender Wage Gap in Private- and Public-Sector Employment: A Distributional Analysis," IZA Discussion Papers 3562, Institute for the Study of Labor (IZA). [Downloadable!]
  2. Van Kerm, Philippe, 2009. "Generalized measures of wage differentials," IRISS Working Paper Series 2009-08, IRISS at CEPS/INSTEAD. [Downloadable!]
  3. Chi, Wei & Li, Bo, 2007. "Glass Ceiling or Sticky Floor? Examining the Gender Pay Gap across the Wage Distribution in Urban China, 1987-2004," MPRA Paper 3544, University Library of Munich, Germany. [Downloadable!]
  4. Chi, Wei & Li, Bo & Yu, Qiumei, 2007. "Decomposition of Changes in Earnings Inequality in China: A Distributional Approach," MPRA Paper 3806, University Library of Munich, Germany. [Downloadable!]
  5. Thomas Lemieux, 2008. "The changing nature of wage inequality," Journal of Population Economics, Springer, vol. 21(1), pages 21-48, January. [Downloadable!] (restricted)
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  6. Joseph G. Altonji & Prashant Bharadwaj & Fabian Lange, 2008. "Changes in the Characteristics of American Youth: Implications for Adult Outcomes," NBER Working Papers 13883, National Bureau of Economic Research, Inc. [Downloadable!] (restricted)
  7. Daniel Parent & John S. Heywood, 2009. "Performance Pay And The White-Black Wage Gap," Departmental Working Papers 2009-07, McGill University, Department of Economics. [Downloadable!]
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  8. Victor Chernozhukov & Ivan Fernandez-Val & Blaise Melly, 2008. "Inference On Counterfactual Distributions," Boston University - Department of Economics - Working Papers Series wp2008-005, Boston University - Department of Economics. [Downloadable!]
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