TITLE:
Function-on-Partially Linear Functional Additive Models
AUTHORS:
Jinyou Huang, Shuang Chen
KEYWORDS:
Functional Data Analysis, Functional Principal Component Analysis, Partial Linear Regression Models, Penalized B-Splines, Variance Model
JOURNAL NAME:
Journal of Applied Mathematics and Physics,
Vol.8 No.1,
December
26,
2019
ABSTRACT: We consider a functional partially linear additive model that predicts a functional response by a scalar predictor and functional predictors. The B-spline and eigenbasis least squares estimator for both the parametric and the nonparametric components proposed. In the final of this paper, as a result, we got the variance decomposition of the model and establish the asymptotic convergence rate for estimator.