8 citations · 25 across the 7 of their papers we have counts for
8 papers
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…
Compatibility of Space-Time Kernels with Full, Dynamical, or Compact Support
Tarik Faouzi, Reinhard Furrer, Emilio Porcu
We deal with the comparison of space-time covariance kernels having, either, full, spatially dynamical, or space-time compact support. Such a comparison is based on compatibility o…
Convergence Arguments to Bridge Cauchy and Matérn Covariance Functions
Tarik Faouzi, Emilio Procu, Igor Kondrashuk +1
The Matérn and the Generalized Cauchy families of covariance functions have a prominent role in spatial statistics as well as in a wealth of statistical applications. The Matérn fa…
A deep look into the Dagum family of isotropic covariance functions
Tarik Faouzi, Emilio Porcu, Igor Kondrashuk +1
The Dagum family of isotropic covariance functions has two parameters that allow for decoupling of the fractal dimension and Hurst effect for Gaussian random fields that are statio…
Asymptotically Equivalent Prediction in Multivariate Geostatistics
François Bachoc, Emilio Porcu, Moreno Bevilacqua +2
Cokriging is the common method of spatial interpolation (best linear unbiased prediction) in multivariate geostatistics. While best linear prediction has been well understood in un…
Zastavnyi Operators and Positive Definite Radial Functions
T. Faouzi, E. Porcu, M. Bevilacqua +1
Positive definite functions are fundamental to many areas of applied mathematics, probability theory, spatial statistics and machine learning, amogst others. Motivated by a problem…
Estimation and prediction of Gaussian processes using generalized Cauchy covariance model under fixed domain asymptotics
Moreno Bevilacqua, Tarik Faouzi
We study estimation and prediction of Gaussian processes with covariance model belonging to the generalized Cauchy (GC) family, under fixed domain asymptotics. Gaussian processes w…
Estimation and Prediction using generalized Wendland Covariance Functions under fixed domain asymptotics
M. Bevilacqua, T. Faouzi, R. Furrer +1
We study estimation and prediction of Gaussian random fields with covariance models belonging to the generalized Wendland (GW) class, under fixed domain asymptotics. As the Matérn…