Quantile regression when the covariates are functions

Details Quantile regression when the covariates are functions Quantile regression when the covariates are functions

2007-03-02

arxiv.org/abs/math/0703056v1

Journal of Nonparametric Statistics 17 (10/2005) 841-856

Mathematics

Statistics Theory

Scientific paper

This paper deals with a linear model of regression on quantiles when the explanatory variable takes values in some functional space and the response is scalar. We propose a spline estimator of the functional coefficient that minimizes a penalized L1 type criterion. Then, we study the asymptotic behavior of this estimator. The penalization is of primary importance to get existence and convergence.

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