In this paper, we investigate the hypothesis test of the parametric component in partial functional linear regression model based on B-spline.

“…The spline method, which is frequently employed to investigate functional data, were used in many papers that studied functional data. Based on B-spline, Yuan ...

In this paper, we investigate the hypothesis test of the parametric component in partial functional linear regression model based on B-spline.

This paper considers estimation and testing problems for partial functional linear models when the covariates in the non-functional linear component are ...

An important model in functional data analysis is the partial functional linear model, which includes the parametric linear part and the functional linear part.

This chapter introduces regression spline method for testing the parametric form of nonparametric regression function in nonparametric, partial linear, and ...

This paper considers estimation and testing problems for partial functional linear models when the covariates in the non-functional linear component are ...

Yuan and Zhang [20] investigated the hypothesis test of the parametric components in PFLRMs based on B-spline. Zhu et al. [21] considered estimation and testing ...

a linear functional. We first study an estimator based on a B-splines expa the functional coefficient which in some way generalizes ridge regression. W an ...

We propose a smoothing splines estimator for the func- tional slope parameter based on a slight modification of the usual penalty. Theoretical analysis ...