On &agr;-symmetric multivariate characteristic functions
Journal of Multivariate Analysis
On positive definiteness of some functions
Journal of Multivariate Analysis
Spatial autoregression and related spatio-temporal models
Journal of Multivariate Analysis
Modified Whittle estimation of multilateral models on a lattice
Journal of Multivariate Analysis
Model comparison and selection for stationary space-time models
Computational Statistics & Data Analysis
Quasi-arithmetic means of covariance functions with potential applications to space-time data
Journal of Multivariate Analysis
Predicting spatio-temporal random fields: Some computational aspects
Computers & Geosciences
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Stationary covariance functions that model space-time interactions are in great demand. The goal of this paper is to introduce and develop new spatio-temporal stationary covanance models. Integral representations for covariance functions with certain properties, such as α-symmetry in the spatial lag, are established. Mixture models are proposed through purely spatial and temporal covariance functions.