Testing High-Dimensional Effects in Quantile Regression with High-Dimensional Confounding: A Decorrelated Approach
高维干扰参数下分位数回归高维效应的去相关检验
Quantile regression provides a flexible framework in econometrics for modeling the relationship between a response variable and multivariate predictors, particularly when heterogeneous effects are present. This paper addresses the challenge of testing high-dimensional coefficients in quantile regression in the presence of high-dimensional nuisance parameters. We first extend a recently proposed score test by incorporating a convolution-type smoothed quantile loss, which…