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Nonparametric estimation of an additive quantile regression model

Authors: Joel L. Horowitz and Sokbae (Simon) Lee
Date: 01 April 2004
Type: cemmap Working Paper, CWP07/04
DOI: 10.1920/wp.cem.2004.0704


This paper is concerned with estimating the additive components of a nonparametric additive quantile regression model. We develop an estimator that is asymptotically normally distributed with a rate of convergence in probability of n-r/(2r+1) when the additive components are r-times continuously differentiable for some r ≥ 2. This result holds regardless of the dimension of the covariates and, therefore, the new estimator has no curse of dimensionality. In addition, the estimator has an oracle property and is easily extended to a generalized additive quantile regression model with a link function. The numerical performance and usefulness of the estimator are illustrated by Monte Carlo experiments and an empirical example. Download full version
Now published:
Joel L. Horowitz and Sokbae (Simon) Lee December 2005, Nonparametric estimation of an additive quantile regression model, Journal article

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