Kernel regression estimation when the regressor takes values in metric space

被引：12

作者：

Dabo-Niang, S

Rhomari, N

机构：

[1] INSEE, CREST, Stat Lab, F-92245 Malakoff, France

[2] Univ Mohamed I, Fac Sci, Oujda 60000, Morocco

来源：

COMPTES RENDUS MATHEMATIQUE | 2003年 / 336卷 / 01期

关键词：

D O I：

10.1016/S1631-073X(02)00012-2

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We study a nonparametric regression estimator when the explanatory variable takes its values in a semi-metric space. We establish some asymptotic results and give upper bounds of the p-mean and the almost sure estimation errors under general conditions. We end by an application to the discrimination in a semi-metric space and illustrate the results by the example of Wiener process as an explanatory variable. To cite this article: S. Dabo-Niang, N. Rhomari, C R. Acad. Sci. Paris, Ser. I336 (2003). (C) 2003 Academie des sciences/Editions scientifiques et medicales Elsevier SAS. All rights reserved.

引用

页码：75 / 80

页数：6

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