Weak and Strong Consistency of non-parametric estimate of potential function for stationary and isotropic pairwise interaction point process - Archive ouverte HAL
Pré-Publication, Document De Travail Année : 2015

Weak and Strong Consistency of non-parametric estimate of potential function for stationary and isotropic pairwise interaction point process

Résumé

A method is proposed for estimating the potential function of a non-parametric estimator for stationary and isotropic pairwise interaction point process. The relation between a pair potential and the corresponding Papangelou conditional intensity is considered. Consistency and strong consistency of non-parametric estimate are proved in case of finite-range interaction potential.
Fichier principal
Vignette du fichier
consistanceisotropic.pdf (436.68 Ko) Télécharger le fichier
Origine Fichiers produits par l'(les) auteur(s)

Dates et versions

hal-01158990 , version 1 (05-06-2015)
hal-01158990 , version 2 (23-03-2016)

Identifiants

Citer

Nadia Morsli. Weak and Strong Consistency of non-parametric estimate of potential function for stationary and isotropic pairwise interaction point process. 2015. ⟨hal-01158990v1⟩
215 Consultations
103 Téléchargements

Altmetric

Partager

More