Series representations of isotropic random fields on balls

Lu, Tianshi, Leonenko, Nikolai ORCID: https://orcid.org/0000-0003-1932-4091 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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Abstract

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:	25 Nov 2024 01:30
URI:	https://orca.cardiff.ac.uk/id/eprint/124835

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