Mathematical Genesis of the Spatio-Temporal Covariance Functions
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.
|Date of creation:||2011|
|Date of revision:|
|Publication status:||Published in Journal of Mathematics and Statistics 7.1(2011): pp. 37-44|
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