A note on smoothness measures for space-time surfaces
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Other documents of the author: Bohorquez Castañeda, Martha Patricia; Mateu, Jorge; Díaz, Laura
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comunitat-uji-handle2:10234/43662
comunitat-uji-handle3:10234/43643
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http://dx.doi.org/10.1007/s00477-013-0797-8 |
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Title
A note on smoothness measures for space-time surfacesDate
2013-09Publisher
Springer VerlagBibliographic citation
BOHORQUEZ, M.; MATEU, J.; DIAZ, L. A note on smoothness measures for space–time surfaces. Stochastic Environmental Research and Risk Assessment, 2014, 28.4: 1011-1022.Type
info:eu-repo/semantics/articlePublisher version
http://link.springer.com/article/10.1007/s00477-013-0797-8Version
info:eu-repo/semantics/publishedVersionSubject
Abstract
The differentiability of a random field has a direct relationship with the differentiability of its covariance function. We review the concept of differentiability of space–time covariance models and random fields, ... [+]
The differentiability of a random field has a direct relationship with the differentiability of its covariance function. We review the concept of differentiability of space–time covariance models and random fields, and its implications on predictions. We analyze the change of behavior of the covariance function at the origin and at different space–time lags away from the origin, by using the concept of smoothness which can be considered the geometrical view of the differentiability. We propose a way to measure the smoothness of any covariance function, and apply it to purely spatial and space–time covariance functions. [-]
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Stochastic Environmental Research and Risk Assessment May 2014, Volume 28, Issue 4Rights
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