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

• Date: 2007
• Main Author: Semenovs’ka, N.
• Format: Article
• Language: English
• Published: Інститут математики НАН України 2007
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/4492
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: Interpolation of homogeneous and isotropic random field in the center of the sphere by uniform distributed observations / N. Semenovs’ka // Theory of Stochastic Processes. — 2007. — Т. 13 (29), № 1-2. — С. 234-242. — Бібліогр.: 3 назв.— англ.

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 i...