Multivariate Gaussian Random Fields over Generalized Product Spaces involving the Hypertorus - Archive ouverte HAL Accéder directement au contenu
Pré-Publication, Document De Travail Année : 2022

Multivariate Gaussian Random Fields over Generalized Product Spaces involving the Hypertorus

Résumé

The paper deals with multivariate Gaussian random fields defined over generalized product spaces that involve the hypertorus. The assumption of Gaussianity implies the finite dimensional distributions to be completely specified by the covariance functions, being in this case matrix valued mappings. We start by considering the spectral representations that in turn allow for a characterization of such covariance functions. We then provide some methods for the construction of these matrix valued mappings. Finally, we consider strategies to evade radial symmetry (called isotropy in spatial statistics) and provide representation theorems for such a more general case.
Fichier principal
Vignette du fichier
BPP_JoP_Revision.pdf (193.47 Ko) Télécharger le fichier
Origine : Fichiers produits par l'(les) auteur(s)

Dates et versions

hal-03583410 , version 1 (21-02-2022)

Identifiants

Citer

François Bachoc, Ana Paula Peron, Emilio Porcu. Multivariate Gaussian Random Fields over Generalized Product Spaces involving the Hypertorus. 2022. ⟨hal-03583410⟩
49 Consultations
135 Téléchargements

Altmetric

Partager

Gmail Facebook X LinkedIn More