Extremal measures maximizing functionals based on simplicial volumes - Archive ouverte HAL Accéder directement au contenu
Article Dans Une Revue Statistical Papers Année : 2016

Extremal measures maximizing functionals based on simplicial volumes

Résumé

We consider functionals measuring the dispersion of a d-dimensional distribution which are based on the volumes of simplices of dimension k ≤ d formed by k + 1 independent copies and raised to some power δ. We study properties of extremal measures that maximize these functionals. In particular, for positive δ we characterize their support and for negative δ we establish connection with potential theory and motivate the application to space-filling design for computer experiments. Several illustrative examples are presented.
Fichier principal
Vignette du fichier
Stat_Papers.pdf (421.84 Ko) Télécharger le fichier
Origine : Fichiers produits par l'(les) auteur(s)
Loading...

Dates et versions

hal-01308116 , version 1 (27-04-2016)

Identifiants

Citer

Luc Pronzato, Henry P. Wynn, Anatoly A. Zhigljavsky. Extremal measures maximizing functionals based on simplicial volumes. Statistical Papers, 2016, 57 (4), pp.1059-1075. ⟨10.1007/s00362-016-0767-6⟩. ⟨hal-01308116⟩

Relations

144 Consultations
99 Téléchargements

Altmetric

Partager

Gmail Facebook X LinkedIn More