Open AccessUnconditional quantile regression with high‐dimensional data
Author(s) -
Sasaki Yuya,
Ura Takuya,
Zhang Yichong
Publication year - 2022
Publication title -
quantitative economics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 4.062
H-Index - 27
eISSN - 1759-7331
pISSN - 1759-7323
DOI - 10.3982/qe1896
Subject(s) - counterfactual thinking , quantile regression , quantile , econometrics , inference , regression , instrumental variable , computer science , statistics , mathematics , artificial intelligence , psychology , social psychology
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.