Characterization theorems for some classes of covariance functions associated to vector valued random fields
We characterize some important classes of cross-covariance functions associated to vector valued random fields based on latent dimensions. We also give some results for mixture based models that allow for the construction of new cross-covariance models. In particular, we give a criterion for the permissibility of quasi-arithmetic operators in order to construct valid cross covariances.
Year of publication: |
2011
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Authors: | Porcu, Emilio ; Zastavnyi, Viktor |
Published in: |
Journal of Multivariate Analysis. - Elsevier, ISSN 0047-259X. - Vol. 102.2011, 9, p. 1293-1301
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Publisher: |
Elsevier |
Keywords: | Cross-covariance functions Exponentially convex functions Latent dimensions Multivariate Laplace transforms Quasi-arithmetic operators Vector valued random fields |
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