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《Mathematics in Practice and Theory》 2008-11
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The Convergence Rate of Estimators in Semiparametric Regression Model for Longitudinal Data

TIAN Ping1,MIAO Bao-jun1,XUE Liu-gen2(1.Department of Mathematics,Xuchang University,Xuchang 461000,China)(2.College of Applied Sciences,Beijing University of Technology, Beijing 100022,China)  
We consider the following semiparametric regression model for longitudinal data:yij=x′ijβ+g(tij)+eij.The estimators ■ and ■(·) are obtained by using the least squares and usual nonparametric weight function method,the strong convergence rate of the estimator ■ and the uniform strong convergence rate of the estimator ■(·) are proved under the suitable conditions.
【Fund】: 河南省高校青年骨干教师资助计划(2006141);; 河南省基础与前沿技术研究(072300410090);; 河南省教育厅自然科学基金项目(2007110033)
【CateGory Index】: O212.1
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