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Schoenberg coefficients and curvature at the origin of continuous isotropic positive definite kernels on spheres
| dc.contributor.author | Arafat, Ahmed | |
| dc.contributor.author | Gregori, Pablo | |
| dc.contributor.author | Porcu, Emilio | |
| dc.date.accessioned | 2020-04-08T18:16:59Z | |
| dc.date.available | 2020-04-08T18:16:59Z | |
| dc.date.issued | 2020 | |
| dc.identifier.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. 108618 | ca_CA |
| dc.identifier.issn | 0167-7152 | |
| dc.identifier.uri | http://hdl.handle.net/10234/187422 | |
| dc.description.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), 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. | ca_CA |
| dc.format.extent | 13 p. | ca_CA |
| dc.format.mimetype | application/pdf | ca_CA |
| dc.language.iso | eng | ca_CA |
| dc.publisher | Elsevier | ca_CA |
| dc.relation.isPartOf | Statistics & Probability Letters, 2020, vol. 156, p. 108618 | ca_CA |
| dc.rights.uri | http://rightsstatements.org/vocab/CNE/1.0/ | * |
| dc.subject | positive definite kernel | ca_CA |
| dc.subject | Schoenberg coefficients | ca_CA |
| dc.subject | Gegenbauer polynomials | ca_CA |
| dc.subject | Iiotropic covariance function | ca_CA |
| dc.title | Schoenberg coefficients and curvature at the origin of continuous isotropic positive definite kernels on spheres | ca_CA |
| dc.type | info:eu-repo/semantics/article | ca_CA |
| dc.identifier.doi | https://doi.org/10.1016/j.spl.2019.108618 | |
| dc.relation.projectID | 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] | ca_CA |
| dc.rights.accessRights | info:eu-repo/semantics/openAccess | ca_CA |
| dc.relation.publisherVersion | https://www.sciencedirect.com/science/article/pii/S0167715219302640 | ca_CA |
| dc.type.version | info:eu-repo/semantics/submittedVersion | ca_CA |
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