Unconditional Quantile Regression with High Dimensional Data

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Date

27 juillet 2020

Type de document
Périmètre
Identifiant
  • 2007.13659
Collection

arXiv

Organisation

Cornell University




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Yuya Sasaki et al., « Unconditional Quantile Regression with High Dimensional Data », arXiv - économie


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This paper considers estimation and inference for heterogeneous counterfactual effects with high-dimensional data. We propose a novel robust score for debiased estimation of the unconditional quantile regression (Firpo, Fortin, and Lemieux, 2009) as a measure of heterogeneous counterfactual marginal effects. We propose a multiplier bootstrap inference and develop asymptotic theories to guarantee the size control in large sample. Simulation studies support our theories. Applying the proposed method to Job Corps survey data, we find that a policy which counterfactually extends the duration of exposures to the Job Corps training program will be effective especially for the targeted subpopulations of lower potential wage earners.

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