Mathematical Genesis of the Spatio-Temporal Covariance Functions
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Title
Mathematical Genesis of the Spatio-Temporal Covariance FunctionsDate
2011Publisher
Science PublicationsBibliographic citation
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. 37-44Type
info:eu-repo/semantics/articlePublisher version
http://thescipub.com/html/10.3844/jmssp.2011.37.44Version
info:eu-repo/semantics/publishedVersionSubject
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: ... [+]
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. [-]
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Journal of Mathematics and Statistics (2011), v. 7, Issue 1Rights
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info:eu-repo/semantics/openAccess
info:eu-repo/semantics/openAccess
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- MAT_Articles [766]