English

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

Statistics Theory 2022-11-22 v1 Statistics Theory

Abstract

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.

Keywords

Cite

@article{arxiv.2211.10817,
  title  = {On estimation and prediction in a spatial semi-functional linear regression model},
  author = {Stéphane Bouka and Kowir Pambo Bello and Guy Martial Nkiet},
  journal= {arXiv preprint arXiv:2211.10817},
  year   = {2022}
}
R2 v1 2026-06-28T06:17:23.453Z