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Schoenberg coefficients and curvature at the origin of continuous isotropic positive definite kernels on spheres

Lookup NU author(s): Professor Emilio Porcu

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Abstract

© 2019 Elsevier B.V. We consider the class Ψd of continuous functions that define isotropic covariance functions in the d-dimensional sphere Sd. We provide a new recurrence formula for the solution of Problem 1 in Gneiting (2013b), solved by Fiedler (2013). In addition, we have improved the current bounds for the curvature at the origin of locally supported covariances (Problem 3 in Gneiting (2013b)), which is of applied interest at least for d=2.

Publication metadata

Author(s): Arafat A, Gregori P, Porcu E

Publication type: Article

Publication status: Published

Journal: Statistics and Probability Letters

Year: 2020

Volume: 156

Print publication date: 01/01/2020

Online publication date: 12/09/2019

Acceptance date: 06/09/2019

ISSN (print): 0167-7152

Publisher: Elsevier BV

URL: https://doi.org/10.1016/j.spl.2019.108618

DOI: 10.1016/j.spl.2019.108618

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