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The statistical simulation algorithm of random fields on the sphere by the aircraft magnetometry data
- Publisher: European Association of Geoscientists & Engineers
- Source: Conference Proceedings, 17th International Conference on Geoinformatics - Theoretical and Applied Aspects, May 2018, Volume 2018, p.1 - 5
Abstract
It is proposed to apply statistical simulation methods of r of random field ealizations on the sphere, to solve the problems of conditional maps, adding of data to achieve the necessary precision, and other such problems in geophysics. The approximation theorems and built on their base algorithm of statistical simulation of Gaussian isotropic random fields on the sphere using the spectral representation was considered. Model example — the aircraft magnetometry data on the great area. It is divided into deterministic and random components for data analysis. The deterministic component is proposed to approximate by cubic splines and the stationary random component is proposed to modeling on the basis of spectral expansions of random fields on the sphere.