标题： 当协变量是函数时的分位数回归 显示英文标题

标题： Quantile regression when the covariates are functions

摘要： 本文研究了解释变量取值于某个函数空间且响应变量为标量时基于分位数的回归线性模型。我们提出了一种通过最小化惩罚型L1范数准则的函数系数样条估计量。随后，我们探讨了该估计量的渐近性质。为了获得估计量的存在性和收敛性，惩罚项至关重要。 显示英文摘要

摘要： 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.