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Distributional Effects of a Continuous Treatment with an Application on Intergenerational Mobility* by Callaway, Brantly; Huang, Weige is a Economics, Econometrics and Finance article available to read on EtoBox.

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## Abstract This paper considers the effect of a continuous treatment on the entire distribution of outcomes after adjusting for differences in the distribution of covariates across different levels of the treatment. Our methodology encompasses dose‐response functions, counterfactual distributions, and ‘distributional policy effects’ depending on the assumptions invoked by the researcher. We propose a three‐step estimator that consists of (i) estimating the distribution of the outcome conditional on the treatment and other covariates using quantile regression; (ii) for each value of the treatment, averaging over a counterfactual distribution of the covariates holding the treatment fixed; (iii) converting the resulting counterfactual distribution into parameters of interest that are easy to interpret. We show that our estimators converge uniformly to Gaussian processes and that the empirical bootstrap can be used to conduct uniformly valid inference across a range of values of the treatment. We use our method to study intergenerational income mobility where we consider effects of parents’ income on features of their child's income distribution such as (i) the fraction of children wi

Who reads Distributional Effects of a Continuous Treatment with an Application on Intergenerational Mobility*?

Author

Callaway, Brantly; Huang, Weige

Publisher

John Wiley and Sons; Wiley (Blackwell Publishing); Wiley-Blackwell Publishing Ltd; Blackwell Publishing Inc.; Wiley (ISSN 0140-5543)

Published

2020

Language

EN

Field

Economics, Econometrics and Finance (Social Sciences)