Statistical properties of a perimeter estimator for spatial excursions observed over regular grids - Archive ouverte HAL Accéder directement au contenu
Pré-Publication, Document De Travail Année : 2022

Statistical properties of a perimeter estimator for spatial excursions observed over regular grids

Résumé

We are interested in creating methods to provide informative summaries of random fields through the geometry of their excursion sets. To this end, we introduce an estimator for the perimeter of excursion sets of random fields. The parsimonious estimator acts on binary digital images of the excursions and computes the length of a piecewise linear approximation of the boundary. Consistency and asymptotic normality results are obtained for decreasing pixel size and growing domain, without the restrictive assumption of isotropy of the underlying random field. We conduct several numerical studies that suggest our asymptotic results are well approximated in the finite data setting.
Fichier principal
Vignette du fichier
main.pdf (1.81 Mo) Télécharger le fichier
Origine : Fichiers produits par l'(les) auteur(s)

Dates et versions

hal-03582844 , version 1 (21-02-2022)
hal-03582844 , version 2 (29-03-2022)

Identifiants

  • HAL Id : hal-03582844 , version 1

Citer

Ryan Cotsakis, Elena Di Bernardino, Thomas Opitz. Statistical properties of a perimeter estimator for spatial excursions observed over regular grids. 2022. ⟨hal-03582844v1⟩
246 Consultations
115 Téléchargements

Partager

Gmail Facebook X LinkedIn More