An Application ofU-Statistics to Nonparametric Functional Data Analysis
Ke-Ang Fu · Communication in Statistics- Theory and Methods · 2012
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.