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Time-varying isotropic vector random fields on compact two-point homogeneous spaces
Ma, Chunsheng Malyarenko, Anatoliy A.
Ma, Chunsheng
Malyarenko, Anatoliy A.
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Ma_2018.pdf
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2018
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Article
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Keywords
Covariance matrix function,Elliptically contoured random field,Gaussian random field,Isotropy,Stationarity,Jacobi polynomials
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Ma, C. & Malyarenko, A. J Theor Probab (2018)
Abstract
A general form of the covariance matrix function is derived in this paper for a vector random field that is isotropic and mean square continuous on a compact connected two-point homogeneous space and stationary on a temporal domain. A series representation is presented for such a vector random field which involves Jacobi polynomials and the distance defined on the compact two-point homogeneous space.
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© The Author(s) 2018. This article is distributed under the terms of the Creative Commons Attribution 4.0 International License (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted use, distribution, and reproduction in any medium, provided you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons license, and indicate if changes were made.
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Springer
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Journal of Theoretical Probability;2018
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0894-9840