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Pré-Publication, Document De Travail Année : 2018

Regression function estimation on non compact support as a partly inverse problem

Résumé

This paper is about nonparametric regression function estimation, first in the independent setting and in a second stage, in the context of an autoregressive model or of discrete time observation of a diffusion process, both settings corresponding to dependent variables. Our estimator is a one step projection estimator obtained by least-squares contrast minimization. The specificity of our work is to consider a new model selection procedure including a cutoff for the underlying matrix inversion, and to provide theoretical risk bounds that apply to non compactly supported bases, a case which was specifically excluded of all previous results. Upper and lower bounds for new rates are provided.
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Dates et versions

hal-01690856 , version 1 (23-01-2018)
hal-01690856 , version 2 (05-04-2018)
hal-01690856 , version 3 (11-07-2018)
hal-01690856 , version 4 (18-10-2018)

Identifiants

  • HAL Id : hal-01690856 , version 2

Citer

Fabienne Comte, V Genon-Catalot. Regression function estimation on non compact support as a partly inverse problem. 2018. ⟨hal-01690856v2⟩
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