Recovering Latent Variables by Matching

Manuel Arellano and Stéphane Bonhomme ()
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Stéphane Bonhomme: Institute for Fiscal Studies and University of Chicago

No CWP2/20, CeMMAP working papers from Centre for Microdata Methods and Practice, Institute for Fiscal Studies

Abstract: We propose an optimal-transport-based matching method to nonparametrically estimate linear models with independent latent variables. The method consists in generating pseudo-observations from the latent variables, so that the Euclidean distance between the model’s predictions and their matched counterparts in the data is minimized. We show that our nonparametric estimator is consistent, and we document that it performs well in simulated data. We apply this method to study the cyclicality of permanent and transitory income shocks in the Panel Study of Income Dynamics. We ?nd that the dispersion of income shocks is approximately acyclical, whereas the skewness of permanent shocks is procyclical. By comparison, we ?nd that the dispersion and skewness of shocks to hourly wages vary little with the business cycle.

Date: 2020-01-07
New Economics Papers: this item is included in nep-mac
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Related works:
Journal Article: Recovering Latent Variables by Matching (2023)
Working Paper: Recovering Latent Variables by Matching (2019)
Working Paper: Recovering Latent Variables by Matching (2019)
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