Nonparametric identification in panels using quantiles
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Chernozhukov_Nonparametric Identification in Panels Using Quantiles.pdf
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Author(s) • • • •
Fernández-Val, Iván
Hoderlein, Stefan
Holzmann, Hajo
Chernozhukov, Victor V
Newey, Whitney K
Date Issued
October 2015
Journal
Journal of Econometrics
Publisher
Elsevier BV
Citation
Chernozhukov, Victor, Iván Fernández-Val, Stefan Hoderlein, Hajo Holzmann, and Whitney Newey. “Nonparametric Identification in Panels Using Quantiles.” Journal of Econometrics 188, no. 2 (October 2015): 378–392.
Version
Original manuscript
Abstract
This paper considers identification and estimation of ceteris paribus effects of continuous regressors in nonseparable panel models with time homogeneity. The effects of interest are derivatives of the average and quantile structural functions of the model. We find that these derivatives are identified with two time periods for "stayers", i.e. for individuals with the same regressor values in two time periods. We show that the identification results carry over to models that allow location and scale time effects. We propose nonparametric series methods and a weighted bootstrap scheme to estimate and make inference on the identified effects. The bootstrap proposed allows inference for function-valued parameters such as quantile effects uniformly over a region of quantile indices and/or regressor values. An empirical application to Engel curve estimation with panel data illustrates the results. Keywords: Panel data, nonseparable model, average effect, quantile effect, Engel curve
MIT Department
Massachusetts Institute of Technology. Department of Economics
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Creative Commons Attribution-NonCommercial-NoDerivs License
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DOI of Published Version
https://doi.org/10.1016/J.JECONOM.2015.03.006