Fractal dimensionality and regression estimation in semi-normed vectorial spaces

被引：40

作者：

Ferraty, F ^{[1
]}

Vieu, P ^{[1
]}

机构：

[1] Univ Toulouse 3, Lab Stat & Probabil, F-31062 Toulouse, France

来源：

COMPTES RENDUS DE L ACADEMIE DES SCIENCES SERIE I-MATHEMATIQUE | 2000年 / 330卷 / 02期

关键词：

D O I：

10.1016/S0764-4442(00)00140-3

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

This Note presents a nonparametric model for scalar response regression problems when the explanatory variable is valued in some semi-normed vectorial space. Nonparametric estimates are proposed and some asymptotic results are stated. It turns out that the rates of convergence are crucially linked with the fractal dimensionality of the underlying measure of probability of the explanatory variable. (C) 2000 Academie des sciences/Editions scientifiques et medicales Elsevier SAS.

引用

页码：139 / 142

页数：4

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