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Series representations of isotropic random fields on balls

Lu, Tianshi, Leonenko, Nikolai and Ma, Chusheng 2020. Series representations of isotropic random fields on balls. Statistics and Probability Letters 156 , 108583. 10.1016/j.spl.2019.108583

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This paper deals with a class of second-order vector random fields in the unit ball of Rd , whose direct/cross covariances are invariant or isotropic with respect to a distance defined on the ball, and gives a series representation of such an isotropic vector random field. A necessary format of covariance matrix functions is also derived for isotropic and mean square continuous vector random fields on the ball.

Item Type: Article
Date Type: Publication
Status: Published
Schools: Mathematics
Publisher: Elsevier
ISSN: 0167-7152
Date of First Compliant Deposit: 9 August 2019
Date of Acceptance: 9 August 2019
Last Modified: 20 Jan 2021 14:09

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