### INTERPOLATION OF HOMOGENEOUS AND ISOTROPIC RANDOM FIELD IN THE CENTER OF THE SPHERE BY UNIFORM DISTRIBUTED OBSERVATIONS

**NATALIYA SEMENOVS’KA**

*Theory of Stochastic Processes*

*Vol.13 (29), no.1-2, 2007, pp.234-242*

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 meansquare interpolation error is obtained. Efficient volume of the set of observations is given.

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