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Integrated Estimation of Functional-Coefficient Regression Models with Different Smoothing Variables
Authors:Riquan Zhang  Guoying Li
Institution:1. Department of Mathematics , Yanbei Normal University , Datong , Shanxi , P. R. China zhangriquan@163.com;3. Academy of Mathematics and System Sciences , Chinese Academy of Sciences , Beijing , P. R. China
Abstract:In this article, the functional-coefficient regression models with different smoothing variables in different coefficient functions are discussed. The integrated estimates of the coefficient functions are defined by marginal integration on the initial value obtained by local linear technique. Their asymptotical normalities are studied.
Keywords:Asymptotic normality  Different smoothing variables  Functional coefficient regression models  Integrated estimate  Local linear method
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