3 papers
math.PR2026
On the compatibility between the spatial moments and the codomain of a real random field
Xavier Emery, Christian Lantuéjoul
While any symmetric and positive semidefinite mapping can be the non-centered covariance of a Gaussian random field, it is known that these conditions are no longer sufficient when…
stat.CO2025
Fast simulation of Gaussian random fields with flexible correlation models in Euclidean spaces
Moreno Bevilacqua, Xavier Emery, Francisco Cuevas-Pacheco
The efficient simulation of Gaussian random fields with flexible correlation structures is fundamental in spatial statistics, machine learning, and uncertainty quantification. In t…
stat.ME2025
Parsimonious Compactly Supported Covariance Models in the Gauss Hypergeometric Class: Identifiability, Reparameterizations, and Asymptotic Properties
Moreno Bevilacqua, Christian Caamaño-Carrillo, Tarik Faouzi +1
We study covariance functions in the Gauss hypergeometric () class, a flexible family that encompasses the Generalized Wendland () and Matérn ($\mathcal…