On Estimation and Prediction in a Spatial Semi-Functional Linear Regression Model with Derivatives

In this paper, we tackle estimation and prediction at non-visted sites in a spatial semi-functional linear regression model with derivatives that combines a functional linear model with a nonparametric regression one. The parametric part is estimated by a method of moments and the other one by a local linear estimator. We establish the convergence rate of the resulting estimators and predictor. A simulation study and an application to ozone pollution prediction at non-visited sites are proposed to illustrate our results.