Maistre, Samuel, Lavergne, Pascal and Patilea, Valentin (2014) Powerful nonparametric checks for quantile regression. TSE Working Paper, n. 14-501, Toulouse

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Abstract

We address the issue of lack-of-fit testing for a parametric quantile regression. We propose a simple test that involves one-dimensional kernel smoothing, so that the rate at which it detects local alternatives is independent of the number of covariates. The test has asymptotically gaussian critical values, and wild bootstrap can be applied to obtain more accurate ones in small samples. Our procedure appears to be competitive with existing ones in simulations. We illustrate the usefulness of our test on birthweight data.

Item Type: Monograph (Working Paper)
Language: English
Date: June 2014
Place of Publication: Toulouse
Uncontrolled Keywords: Goodness-of-fit test, U-statistics, Smoothing
JEL Classification: C14 - Semiparametric and Nonparametric Methods
C52 - Model Evaluation and Selection
Subjects: B- ECONOMIE ET FINANCE
Divisions: TSE-R (Toulouse)
Institution: Universite Toulouse 1 Capitole
Site: UT1
Date Deposited: 09 Jul 2014 17:45
Last Modified: 02 Apr 2021 15:48
OAI Identifier: oai:tse-fr.eu:28289
URI: https://publications.ut-capitole.fr/id/eprint/15945

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