Nonparametric Estimation of an Additive Quantile Regression Model

Sokbae (Simon) Lee and Joel L. Horowitz

No 721, Econometric Society 2004 Far Eastern Meetings from Econometric Society

Abstract: 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 $r \geq 2$. 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

Keywords: Additive models; local polynomial estimation; nonparametric regression; quantile regression; series estimation. (search for similar items in EconPapers)
JEL-codes: C14 C21 (search for similar items in EconPapers)
Date: 2004-08-11
New Economics Papers: this item is included in nep-ecm
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Citations: View citations in EconPapers (11)

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Related works:
Journal Article: Nonparametric Estimation of an Additive Quantile Regression Model (2005)
Working Paper: Nonparametric estimation of an additive quantile regression model (2004)
Working Paper: Nonparametric estimation of an additive quantile regression model (2004)
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Persistent link: https://EconPapers.repec.org/RePEc:ecm:feam04:721

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