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-visted sites are proposed to illustrate our results.

翻译：我们用空间半功能线性回归模型处理非观察地点的估算和预测,其衍生物将功能线性模型与非参数回归模型结合起来。参数部分由时间法估算,另一部分则由局部线性估测仪估算。我们确定由此得出的测算器和预测器的汇合率。我们提议进行模拟研究,并在非观察地点应用臭氧污染预测,以说明我们的结果。