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ЖУРНАЛЫ // Theory of Stochastic Processes // Архив

Theory Stoch. Process., 2007, том 13(29), выпуск 2, страницы 234–242 (Mi thsp200)

Interpolation of homogeneous and isotropic random field in the center of the sphere by uniform distributed observations

Nataliya Semenovs'ka

Department of Probability Theory and Mathematical Statistics, Kyiv National Taras Shevchenko University, Kyiv, Ukraine

Аннотация: 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.

Ключевые слова: Homogeneous and isotropic random field, interpolation in the center of the sphere, mean-square interpolation error, asymptotic behavior.

MSC: Primary 60G60, 62M20; Secondary 60G25, 93E10

Язык публикации: английский



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