Asymptotic Properties in Semiparametric Partially Linear Regression Models for Functional Data  

作　　者：Tao ZHANG 

机构地区：[1]College of Science,Guangxi University of Technology [2]School of Mathematics and Statistics,Yunnan University

出　　处：《Acta Mathematicae Applicatae Sinica》2013年第3期631-644,共14页应用数学学报（英文版）

摘　　要：We consider the semiparametric partially linear regression models with mean function XTβ ＋ g（z）, where X and z are functional data. The new estimators of β and g（z） are presented and some asymptotic results are given. The strong convergence rates of the proposed estimators are obtained. In our estimation, the observation number of each subject will be completely flexible. Some simulation study is conducted to investigate the finite sample performance of the proposed estimators.We consider the semiparametric partially linear regression models with mean function XTβ ＋ g（z）, where X and z are functional data. The new estimators of β and g（z） are presented and some asymptotic results are given. The strong convergence rates of the proposed estimators are obtained. In our estimation, the observation number of each subject will be completely flexible. Some simulation study is conducted to investigate the finite sample performance of the proposed estimators.

关 键 词：longitudinal data functional data semiparametric partially linear regression models asymptotic properties 

分 类 号：O212.1[理学—概率论与数理统计]