Author(s)

Jinyou Huang, Shuang Chen^*

School of Sciences, Hebei University of Technology, Tianjin, China.

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.

Functional Data Analysis, Functional Principal Component Analysis, Partial Linear Regression Models, Penalized B-Splines, Variance Model

Huang, J. and Chen, S. (2020) Function-on-Partially Linear Functional Additive Models. Journal of Applied Mathematics and Physics, 8, 1-9. doi: 10.4236/jamp.2020.81001.