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Extremal Quantile Regressions for Selection Models and the Black-White Wage Gap

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  • Xavier D'Haultfoeuille
  • Arnaud Maurel
  • Yichong Zhang

Abstract

We consider the estimation of a semiparametric location-scale model subject to endogenous selection, in the absence of an instrument or a large support regressor. Identification relies on the independence between the covariates and selection, for arbitrarily large values of the outcome. In this context, we propose a simple estimator, which combines extremal quantile regressions with minimum distance. We establish the asymptotic normality of this estimator by extending previous results on extremal quantile regressions to allow for selection. Finally, we apply our method to estimate the black-white wage gap among males from the NLSY79 and NLSY97. We find that premarket factors such as AFQT and family background characteristics play a key role in explaining the level and evolution of the black-white wage gap.

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  • Xavier D'Haultfoeuille & Arnaud Maurel & Yichong Zhang, 2014. "Extremal Quantile Regressions for Selection Models and the Black-White Wage Gap," NBER Working Papers 20257, National Bureau of Economic Research, Inc.
  • Handle: RePEc:nbr:nberwo:20257
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    Cited by:

    1. Daniel S. Hamermesh & Katie R. Genadek & Michael C. Burda, 2021. "Racial/Ethnic Differences in Non-Work at Work," ILR Review, Cornell University, ILR School, vol. 74(2), pages 272-292, March.
    2. D’Haultfœuille, Xavier & Maurel, Arnaud & Zhang, Yichong, 2018. "Extremal quantile regressions for selection models and the black–white wage gap," Journal of Econometrics, Elsevier, vol. 203(1), pages 129-142.
    3. Xavier D’Haultfoeuille & Arnaud Maurel & Xiaoyun Qiu & Yichong Zhang, 2020. "Estimating selection models without an instrument with Stata," Stata Journal, StataCorp LP, vol. 20(2), pages 297-308, June.
    4. Paul Demeré & Michael P. Donohoe & Petro Lisowsky, 2020. "The Economic Effects of Special Purpose Entities on Corporate Tax Avoidance," Contemporary Accounting Research, John Wiley & Sons, vol. 37(3), pages 1562-1597, September.
    5. Yashiv, Eran, 2020. "Moving from a Poor Economy to a Rich One: The Contradictory Roles of Technology and Job Tasks," IZA Discussion Papers 13131, Institute of Labor Economics (IZA).
    6. Burda, Michael, 2017. "Racial/Ethnic Differences in Non-Work at Work," VfS Annual Conference 2017 (Vienna): Alternative Structures for Money and Banking 168183, Verein für Socialpolitik / German Economic Association.
    7. Biewen, Martin & Fitzenberger, Bernd & Seckler, Matthias, 2020. "Counterfactual quantile decompositions with selection correction taking into account Huber/Melly (2015): An application to the German gender wage gap," Labour Economics, Elsevier, vol. 67(C).

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    More about this item

    JEL classification:

    • C21 - Mathematical and Quantitative Methods - - Single Equation Models; Single Variables - - - Cross-Sectional Models; Spatial Models; Treatment Effect Models
    • C24 - Mathematical and Quantitative Methods - - Single Equation Models; Single Variables - - - Truncated and Censored Models; Switching Regression Models; Threshold Regression Models
    • J31 - Labor and Demographic Economics - - Wages, Compensation, and Labor Costs - - - Wage Level and Structure; Wage Differentials

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