Isotropic covariance functions on spheres: Some properties and modeling considerations

  title={Isotropic covariance functions on spheres: Some properties and modeling considerations},
  author={Joseph Guinness and Montserrat Fuentes},
  journal={J. Multivariate Analysis},
Introducing flexible covariance functions is critical for interpolating spatial data since the properties of interpolated surfaces depend on the covariance function used for Kriging. An extensive literature is devoted to covariance functions on Euclidean spaces, where the Matérn covariance family is a valid and flexible parametric family capable of controlling the smoothness of corresponding stochastic processes. Many applications in environmental statistics involve data located on spheres… CONTINUE READING
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