Semi-functional partial linear regression

被引:167
作者
Aneiros-Perez, German
Vieu, Philippe
机构
[1] Univ A Coruna, Dept Matemat, Fac Informat, Coruna 15071 A, Spain
[2] Univ Toulouse 3, F-31062 Toulouse, France
关键词
functional variable; partial linear regression; asymptotic normality;
D O I
10.1016/j.spl.2005.12.007
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
This note deals with the problem of predicting some real-valued response variable in the situation where some among the explanatory variables are functional. More precisely, a new model is introduced in order to capture both the advantages of a semi-linear modelling and those of the recent advances on nonparametric statistics for functional data. The aim of this note is to provide the first advances in this direction. After having constructed precisely the so-called semi-functional partially linear model, the estimates are presented and some asymptotic results (with rates of convergence) are given. Lastly, a real data example illustrates the usefulness of the model. (C) 2005 Published by Elsevier B.V.
引用
收藏
页码:1102 / 1110
页数:9
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