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Unconditional Quantile Regressions

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Author Info
SErgio Firpo () (Department of Economics PUC-Rio)
Nicole M. Fortin (University of British Columbia)
Thomas Lemieux (University of British Columbia)

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Abstract

We propose a new regression method to estimate the impact of explanatory variables on quantiles of the unconditional 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 (RIFOLS), a Logit regression (RIF-Logit), and a nonparametric Logit regression (RIFNP). We also discuss how our approach can be generalized to other distributional statistics besides quantiles.

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Publisher Info
Paper provided by Department of Economics PUC-Rio (Brazil) in its series Textos para discussão with number 533.

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Length: 54p
Date of creation: Nov 2006
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Handle: RePEc:rio:texdis:533

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Keywords: Influence Functions Unconditional Quantile Quantile Regressions.

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  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:
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  1. Thomas Lemieux, 2008. "The changing nature of wage inequality," Journal of Population Economics, Springer, vol. 21(1), pages 21-48, January. [Downloadable!] (restricted)
    Other versions:
  2. 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)
  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!]
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