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A turning bands method for simulating isotropic Gaussian random fields on the sphere


Emery, Xavier; Furrer, Reinhard; Porcu, Emilio (2019). A turning bands method for simulating isotropic Gaussian random fields on the sphere. Statistics and Probability Letters, 144:9-15.

Abstract

We introduce a novel approach to simulate Gaussian random fields defined over spheres of $\mathbb{R}^3$ . Through continuation we embed the process on the sphere in a nonstationary random field of $\mathbb{R}^3$ to use a turning bands method. We also discuss the approximation accuracy.

Abstract

We introduce a novel approach to simulate Gaussian random fields defined over spheres of $\mathbb{R}^3$ . Through continuation we embed the process on the sphere in a nonstationary random field of $\mathbb{R}^3$ to use a turning bands method. We also discuss the approximation accuracy.

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Additional indexing

Item Type:Journal Article, refereed, original work
Communities & Collections:07 Faculty of Science > Institute of Mathematics
07 Faculty of Science > Institute for Computational Science
Dewey Decimal Classification:510 Mathematics
Scopus Subject Areas:Physical Sciences > Statistics and Probability
Social Sciences & Humanities > Statistics, Probability and Uncertainty
Uncontrolled Keywords:Statistics, Probability and Uncertainty, Statistics and Probability
Language:English
Date:1 January 2019
Deposited On:22 Nov 2018 10:21
Last Modified:29 Nov 2023 08:16
Publisher:Elsevier
ISSN:0167-7152
OA Status:Hybrid
Publisher DOI:https://doi.org/10.1016/j.spl.2018.07.017
  • Content: Published Version
  • Language: English
  • Licence: Creative Commons: Attribution-NonCommercial-NoDerivatives 4.0 International (CC BY-NC-ND 4.0)