Dimension walks on \(\mathbb{S}^d \times \mathbb{R}\)

DOI10.1016/j.spl.2018.11.014zbMath1407.60073arXiv1809.03955OpenAlexW2901254671MaRDI QIDQ1726884

Tasmin L. Symons, Nicholas H. Bingham

Publication date: 20 February 2019

Published in: Statistics \& Probability Letters (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1809.03955

zbMATH Keywords

positive definite functionsdimension walksspatio-temporal covariances

Mathematics Subject Classification ID

Random fields (60G60) Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45)

Related Items (2)

Prediction theory for stationary functional time series ⋮ Gaussian random fields on the sphere and sphere cross line

Cites Work

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• One-step recurrences for stationary random fields on the sphere
• Strictly and non-strictly positive definite functions on spheres
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• Schoenberg's theorem for real and complex Hilbert spheres revisited
• Piecewise polynomial, positive definite and compactly supported radial functions of minimal degree
• Dimension hopping and families of strictly positive definite zonal basis functions on spheres
• Positive definite functions on spheres
• Derivatives of isotropic positive definite functions on spheres
• Modeling Temporally Evolving and Spatially Globally Dependent Data

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