Schoenberg coefficients and curvature at the origin of continuous isotropic positive definite kernels on spheres
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Title
Schoenberg coefficients and curvature at the origin of continuous isotropic positive definite kernels on spheresDate
2020Publisher
ElsevierISSN
0167-7152Bibliographic citation
ARAFAT, Ahmed; GREGORI, Pablo; PORCU, Emilio. Schoenberg coefficients and curvature at the origin of continuous isotropic positive definite kernels on spheres. Statistics & Probability Letters, 2020, vol. 156, p. 108618Type
info:eu-repo/semantics/articlePublisher version
https://www.sciencedirect.com/science/article/pii/S0167715219302640Version
info:eu-repo/semantics/submittedVersionSubject
Abstract
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), ... [+]
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. [-]
Is part of
Statistics & Probability Letters, 2020, vol. 156, p. 108618Investigation project
Ahmed Arafat and Pablo Gregori’s research are supported by Spanish Ministerio de Econom´ıa, Industria y Competitividad ([project MTM2016- 78917-R]) and Universitat Jaume I de Castell´on ([project P1·1B2015-40]). Emilio Porcu is supported by Proyecto Fondecyt [number 1170290]Rights
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info:eu-repo/semantics/openAccess
info:eu-repo/semantics/openAccess
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