TY  - JOUR
AU  - Fernández-Avilés, Gema 
AU  - Montero, Jose-María 
AU  - Mateu, Jorge 
PY  - 2011
TI  - Mathematical Genesis of the Spatio-Temporal Covariance Functions
JF  - Journal of Mathematics and Statistics
VL  - 7
IS  - 1
DO  - 10.3844/jmssp.2011.37.44
UR  - https://thescipub.com/abstract/jmssp.2011.37.44
AB  - Problem statement: Obtaining new and flexible classes of nonseparable spatio-temporal
covariances have resulted in a key point of research in the last years within the context of spatiotemporal
Geostatistics. Approach: In general, the literature has focused on the problem of full
symmetry and the problem of anisotropy has been overcome. Results: By exploring mathematical
properties of positive definite functions and their close connection to covariance functions we are able
to develop new spatio-temporal covariance models taking into account the problem of spatial
anisotropy. Conclusion/Recommendations: The resulting structures are proved to have certain
interesting mathematical properties, together with a considerable applicability.