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

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  • Emery, Xavier
  • Furrer, Reinhard
  • Porcu, Emilio

Abstract

We introduce a novel approach to simulate Gaussian random fields defined over spheres of R3. Through continuation we embed the process on the sphere in a nonstationary random field of R3 to use a turning bands method. We also discuss the approximation accuracy.

Suggested Citation

  • Emery, Xavier & Furrer, Reinhard & Porcu, Emilio, 2019. "A turning bands method for simulating isotropic Gaussian random fields on the sphere," Statistics & Probability Letters, Elsevier, vol. 144(C), pages 9-15.
    • Handle: RePEc:eee:stapro:v:144:y:2019:i:c:p:9-15
    DOI: 10.1016/j.spl.2018.07.017
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    References listed on IDEAS

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    1. Emilio Porcu & Alfredo Alegria & Reinhard Furrer, 2018. "Modeling Temporally Evolving and Spatially Globally Dependent Data," International Statistical Review, International Statistical Institute, vol. 86(2), pages 344-377, August.
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