Bandwidth selector for nonparametric recursive density estimation for spatial data defined by stochastic approximation method - Inria - Institut national de recherche en sciences et technologies du numérique Accéder directement au contenu
Article Dans Une Revue Communications in Statistics - Theory and Methods Année : 2019

Bandwidth selector for nonparametric recursive density estimation for spatial data defined by stochastic approximation method

Résumé

In this article we propose an automatic selection of the bandwidth of the recursive kernel density estimators for spatial data defined by the stochastic approximation algorithm. We showed that, using the selected bandwidth and the stepsize which minimize the MWISE (Mean Weighted Integrated Squared Error), the recursive estimator will be quite similar to the nonrecursive one in terms of estimation error and much better in terms of computational costs. In addition, we obtain the central limit theorem for the nonparametric recursive density estimator under some mild conditions.
Fichier non déposé

Dates et versions

hal-04390647 , version 1 (12-01-2024)

Identifiants

Citer

Salim Bouzebda, Yousri Slaoui. Bandwidth selector for nonparametric recursive density estimation for spatial data defined by stochastic approximation method. Communications in Statistics - Theory and Methods, 2019, 49 (12), pp.2942-2963. ⟨10.1080/03610926.2019.1584313⟩. ⟨hal-04390647⟩
48 Consultations
0 Téléchargements

Altmetric

Partager

Gmail Facebook X LinkedIn More