Functional singular component analysis based functional additive models

被引：0
作者：
Tao Zhang
QiHua Wang
机构：
[1] Guangxi University of Science and Technology,School of Science
[2] Chinese Academy of Sciences,Academy of Mathematics and Systems Science
[3] Shenzhen University,Institute of Statistical Science
来源：
Science China Mathematics | 2016年 / 59卷
关键词：
functional data; functional additive models; functional singular component analysis; 62G05; 62G20;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
We propose a method which uses functional singular component to establish functional additive models. The proposed methodology reduces the curve regression problem to ordinary (i.e., scalar) additive regression problems of the singular components of the predictor process and response process. Consistency of estimators for the nonparametric function and prediction are proved, respectively. A simulation study is conducted to investigate the finite sample performances of the proposed estimators.
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页码：2443 / 2462
页数：19
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