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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.
Образец цитирования:
Nataliya Semenovs'ka, “Interpolation of homogeneous and
isotropic random field in the center
of the sphere by uniform distributed
observations”, Theory Stoch. Process., 13(29):2 (2007), 234–242
Образцы ссылок на эту страницу:
https://www.mathnet.ru/rus/thsp200 https://www.mathnet.ru/rus/thsp/v13/i2/p234
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Страница аннотации: | 52 | PDF полного текста: | 31 | Список литературы: | 16 |
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