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On estimation in spatial functional linear regression model

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Bouka, Stephane | Dabo-Niang, Sophie | Nkiet, Guy Martial

Edité par HAL CCSD

In this paper, we consider a spatial functional linear regression, where a scalar response is related to a square integrable spatial functional process. We use a smoothing spline estimator for the functional slope parameter. We establish a finite sample bound for variance of this estimator under mixing spatial dependence. Then, we give a bound of the prediction error. Finally, we illustrate our results by simulations.

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