Nonparametric regression on functional variable and structural tests

被引:0
|
作者
Delsol, Laurent [1 ]
机构
[1] Univ Toulouse, Inst Math, F-31062 Toulouse 9, France
关键词
D O I
10.1007/978-3-7908-2062-1_23
中图分类号
O21 [概率论与数理统计]; C8 [统计学];
学科分类号
020208 ; 070103 ; 0714 ;
摘要
The aim of this talk is to highlight the usefulness of kernel methods in regression on functional variables. After reminding some asymptotic properties of the kernel estimator of the regression operator, we introduce a general framework to construct various innovative structural tests (no-effect, linearity, single-index,...). Various bootstrap procedures are implemented on datasets in order to emphasize the pertinence of such structural testing methods.
引用
收藏
页码:143 / 150
页数:8
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