An Application of U-Statistics to Nonparametric Functional Data Analysis

作者：Fu, Ke-Ang^*

来源：Communications in Statistics - Theory and Methods, 2012, 41(9): 1532-1542.

DOI：10.1080/03610926.2010.526747

• Asymptotic distribution
• Functional data
• Multivariate regression
• Nadaraya-Watson type estimator

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.

• 出版日期2012
• 单位浙江工商大学