Abstract:
We consider interpolation of homogeneous and isotropic random field
in the center of the sphere by uniform distributed observations on the
sphere. The asymptotic behavior of the mean-square interpolation
error is investigated. The degree of convergence to zero of the mean-square interpolation error is obtained. Efficient volume of the set of
observations is given.
Keywords:Homogeneous and isotropic random field, interpolation in
the center of the sphere, mean-square interpolation error, asymptotic behavior.
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