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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 estimate the impact of 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 is a widely used tool in robust estimation that can easily be computed for each quantile of interest. We show how standard partial effects, as well as policy effects, can be estimated using our regression approach. We propose three different regression estimators based on a standard OLS regression (RIF-OLS), a logit regression (RIF-Logit), and a nonparametric logit regression (RIF-OLS). We also discuss how our approach can be generalized to other distributional statistics besides quantiles.

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Paper provided by National Bureau of Economic Research, Inc in its series NBER Technical Working Papers with number 0339.

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Date of creation: Jul 2007
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Handle: RePEc:nbr:nberte:0339

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Find related papers by JEL classification:
C14 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods: General - - - Semiparametric and Nonparametric Methods
C21 - Mathematical and Quantitative Methods - - Single Equation Models; Single Variables - - - Cross-Sectional Models; Spatial Models; Treatment Effect Models
J31 - Labor and Demographic Economics - - Wages, Compensation, and Labor Costs - - - Wage Level and Structure; Wage Differentials

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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. 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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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. 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!]
  2. 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!]
  3. 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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  4. 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)
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