Series representations of isotropic vector random fields on balls
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
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.