A note on smoothness measures for space-time surfaces
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http://dx.doi.org/10.1007/s00477-013-0797-8 |
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Título
A note on smoothness measures for space-time surfacesFecha de publicación
2013-09Editor
Springer VerlagCita bibliográfica
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.Tipo de documento
info:eu-repo/semantics/articleVersión de la editorial
http://link.springer.com/article/10.1007/s00477-013-0797-8Versión
info:eu-repo/semantics/publishedVersionPalabras clave / Materias
Resumen
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. [-]
Publicado en
Stochastic Environmental Research and Risk Assessment May 2014, Volume 28, Issue 4Derechos de acceso
© Springer International Publishing AG, Part of Springer Science+Business Media
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