Characterization Theorems for Covariance Functions on the n−Dimensional Sphere Across Time

Abstract : This paper provides representation theorems for classes of nonstationary covariance functions on spheres across time. Isotropy on spheres comes out naturally in virtue of the addition theorem, and we show how to escape from this assumption, in order to obtain kernels that can be anisotropic. The same criterion is used in order to escape from stationarity in the temporal component. Our findings are then illustrated through a simulation study.
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Pré-publication, Document de travail
MAP5 2016-34. 2017
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https://hal.archives-ouvertes.fr/hal-01417668
Contributeur : Anne Estrade <>
Soumis le : jeudi 7 septembre 2017 - 17:13:25
Dernière modification le : samedi 9 septembre 2017 - 01:06:25

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  • HAL Id : hal-01417668, version 2

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Anne Estrade, Alessandra Fariñas, Emilio Porcu. Characterization Theorems for Covariance Functions on the n−Dimensional Sphere Across Time. MAP5 2016-34. 2017. <hal-01417668v2>

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