Spatio-Functional Local Linear Asymmetric Least Square Regression Estimation: Application for Spatial Prediction of COVID-19 Propagation - Laboratoire LMAC - Laboratoire de Mathématiques Appliquées de Compiègne Accéder directement au contenu
Article Dans Une Revue Symmetry Année : 2023

Spatio-Functional Local Linear Asymmetric Least Square Regression Estimation: Application for Spatial Prediction of COVID-19 Propagation

Fatimah Alshahrani
Ouahiba Litimein
  • Fonction : Auteur
Boubaker Mechab
  • Fonction : Auteur

Résumé

The problem of estimating the spatio-functional expectile regression for a given spatial mixing structure Xi,Yi∈F×R, when i∈ZN,N≥1 and F is a metric space, is investigated. We have proposed the M-estimation procedure to construct the Spatial Local Linear (SLL) estimator of the expectile regression function. The main contribution of this study is the establishment of the asymptotic properties of the SLL expectile regression estimator. Precisely, we establish the almost-complete convergence with rate. This result is proven under some mild conditions on the model in the mixing framework. The implementation of the SLL estimator is evaluated using an empirical investigation. A COVID-19 data application is performed, allowing this work to highlight the substantial superiority of the SLL-expectile over SLL-quantile in risk exploration.
Fichier principal
Vignette du fichier
symmetry-15-02108-v2.pdf (1000.41 Ko) Télécharger le fichier
Origine : Publication financée par une institution

Dates et versions

hal-04305371 , version 1 (01-02-2024)

Identifiants

Citer

Ali Laksaci, Salim Bouzebda, Fatimah Alshahrani, Ouahiba Litimein, Boubaker Mechab. Spatio-Functional Local Linear Asymmetric Least Square Regression Estimation: Application for Spatial Prediction of COVID-19 Propagation. Symmetry, 2023, 15 (12), pp.2108. ⟨10.3390/sym15122108⟩. ⟨hal-04305371⟩
27 Consultations
7 Téléchargements

Altmetric

Partager

Gmail Facebook X LinkedIn More