Semi-functional partial linear regression
Semi-functional partial linear regression
复制标题
DOI：
10.1016/j.spl.2005.12.007
复制
发表时间：
2006-06-01
影响因子：
0.8
通讯作者：
Vieu, Philippe
中科院分区：
文献类型：
--
作者：
Aneiros-Perez, German;Vieu, Philippe
本文讨论在某些解释变量是函数的情况下，预测某些实值反应变量的问题。更确切地说，一个新的模型，以捕捉半线性建模的优点和功能数据的非参数统计的最新进展。本说明的目的是提供这方面的初步进展。在精确地构造了所谓的半泛函部分线性模型之后，给出了估计和一些渐近结果（具有收敛速度）。最后，通过一个真实的数据实例说明了该模型的有效性. (C)2005年由Elsevier B.V.出版
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.