Archimedean spectral densities for nonstationary space-time
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Title
Archimedean spectral densities for nonstationary space-timeDate
2009Publisher
Academia Sinica. Institute of Statistical ScienceISSN
1017-0405Bibliographic citation
PORCU, Emilio; GREGORI, Pablo; MATEU, Jorge. Archimedean spectral densities for nonstationary space-time Geostatistics. Statistica Sinica, 2009, p. 273-286.Type
info:eu-repo/semantics/articlePublisher version
https://www.jstor.org/stable/pdf/24308719.pdfVersion
info:eu-repo/semantics/publishedVersionSubject
Abstract
In this work we investigate methods for modelling space-time nonstationary
data. We combine the approaches based on spatial adapting and spectral
tempering of spectral densities with the desirable features of ... [+]
In this work we investigate methods for modelling space-time nonstationary
data. We combine the approaches based on spatial adapting and spectral
tempering of spectral densities with the desirable features of Archimedean functionals.
We propose a class of spectral densities whose elements are shown to have a
natural ordering with respect to the set of functionals, and some interesting closed
forms for the covariance functions obtained as Fourier transform of the elements of
this new class are shown. Finally, we show a new class of nonstationary space-time
covariance functions, that are additionally asymmetric in time, and related to this
methodology [-]
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Statistica Sinica, 2009, v. 19Rights
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