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.
Authors
Whitney K. Newey
Associate Professor Boston College
Ivan Fernandez-Val
Hajo Holzmann
Journal article details
- DOI
- 10.1016/j.jeconom.2015.03.006
- Publisher
- Elsevier
- Issue
- Volume 188, Issue 2, October 2015
Suggested citation
Chernozhukov, V et al. (2015). 'Nonparametric identification in panels using quantiles' 188(2/2015)
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