2024-03-28T08:27:12Zhttps://repositori.uji.es/oai/requestoai:repositori.uji.es:10234/1669302023-03-09T11:27:44Zcom_10234_7037com_10234_9col_10234_8635
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Fernández Avilés, Gema
author
Montero, José María
author
Mateu, Jorge
author
2011
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.
FERNÁNDEZ AVILÉS, Gema; MONTERO, José María; MATEU, Jorge. Mathematical Genesis of the Spatio-Temporal Covariance Functions. Journal of Mathematics and Statistics (2011), v. 7, Issue 1, pp. 37-44
http://hdl.handle.net/10234/166930
http://dx.doi.org/10.3844/jmssp.2011.37.44
Spatial anisotropy
Bernstein and complete monotone functions
Spatio-temporal geostatistics
Positive definite functions
Space-time modeling
Spatio-temporal data
Mathematical Genesis of the Spatio-Temporal Covariance Functions