@article {10.3844/jmssp.2011.37.44,
article_type = {journal},
title = {Mathematical Genesis of the Spatio-Temporal Covariance Functions},
author = {Fernández-Avilés, Gema and Montero, Jose-María and Mateu, Jorge},
volume = {7},
year = {2011},
month = {Jan},
pages = {37-44},
doi = {10.3844/jmssp.2011.37.44},
url = {https://thescipub.com/abstract/jmssp.2011.37.44},
abstract = {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.},
journal = {Journal of Mathematics and Statistics},
publisher = {Science Publications}
}