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Theory of statistical analysis of data distributed over a sphere
Author(s) -
Kaula W. M.
Publication year - 1967
Publication title -
reviews of geophysics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 8.087
H-Index - 156
eISSN - 1944-9208
pISSN - 8755-1209
DOI - 10.1029/rg005i001p00083
Subject(s) - extrapolation , representation (politics) , spherical harmonics , spectral density , statistical physics , statistical analysis , harmonic , harmonic analysis , spectral line , spectral representation , power (physics) , mathematics , mathematical analysis , physics , statistics , quantum mechanics , politics , political science , law
The problem of obtaining a representation of a variable on a sphere from irregularly distributed observations is divided into two topics (1) Spectral representation: the relationships between covariances, spherical harmonic coefficients, power spectra, etc.; and (2) statistical analysis: extrapolation, power spectrum, and coefficient determination, etc., under the assumption of stationarity. The relationships of various techniques are discussed.