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An Application of U-Statistics to Nonparametric Functional Data Analysis
Authors:Ke-Ang Fu
Institution:1. School of Statistics and Mathematics , Zhejiang Gongshang University , Hangzhou , China fukeang@hotmail.com
Abstract:Functional regression functions, with explanatory variables taking values in some abstract function space, have been studied extensively. In this article, we aim to investigate the multivariate functional regression function, and propose a nonparametric estimator for the multivariate case. By applying some properties of U-statistics, some asymptotic distributions of such estimator are obtained under different cases.
Keywords:Asymptotic distribution  Functional data  Multivariate regression  Nadaraya-Watson type estimator
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