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has been cited by the following article:

• 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.