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    Series representations of isotropic vector random fields on balls

    Date
    2020-01
    Author
    Lu, Tianshi
    Leonenko, Nikolai N.
    Ma, Chunsheng
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    Citation
    Lu, Tianshi; Leonenko, Nikolai N.; Ma, Chunsheng. 2020. Series representations of isotropic vector random fields on balls. Statistics & Probability Letters, vol. 156, January 2020, art. no. 108583
    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.
    Description
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    URI
    https://doi.org/10.1016/j.spl.2019.108583
    http://hdl.handle.net/10057/16586
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