Time varying isotropic vector random fields on sphere

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Authors
Ma, Chunsheng
Issue Date
2017-12
Type
Article
Language
en_US
Keywords
Covariance matrix function , Elliptically contoured random field , Gaussian random field , Isotropic , Stationary , Ultraspherical polynomials
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Abstract

For a vector random field that is isotropic and mean square continuous on a sphere and stationary on a temporal domain, this paper derives a general form of its covariance matrix function and provides a series representation for the random field, which involve the ultraspherical polynomials. The series representation is somehow an imitator of the covariance matrix function, but differs from the spectral representation in terms of the ordinary spherical harmonics, and is useful for modeling and simulation. Some semiparametric models are also illustrated.

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Citation
Ma, C. J Theor Probab (2017) 30: 1763
Publisher
Springer
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ISSN
0894-9840
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