论文标题

关于空间半功能线性回归模型中的估计和预测

On estimation and prediction in a spatial semi-functional linear regression model

论文作者

Bouka, Stéphane, Bello, Kowir Pambo, Nkiet, Guy Martial

论文摘要

我们在空间半功能线性回归模型中与非vand的位点上的估计和预测与衍生物结合了功能性线性模型与非参数回归的衍生物。参数部分是通过矩的方法来估计的,而另一种方法是由局部线性估计器估算的。我们建立了由此产生的估计器和预测指标的收敛速率。提出了一项模拟研究和对非visted地点的臭氧污染预测的应用,以说明我们的结果。

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.

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