Abstract
This paper presents the new linear estimation method of G. Matheron, based on the concept of minimum variance. The important point is that it takes into account the regional trend, called “drift” in the present text. It is always of great interest, particularly in the case of interpolation of Bouguer anomalies.
The stress is also put on the structural use of the semi-variogram in the Earth Sciences. This new function is simply related to the well-knowns covariance function.
An illustrative application in automatic contouring is given.
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References
G. MATHERON: Les Variables Régionalisées et leur Estimation, Masson, 1965, Cours de Géostatistique, 1969. Le Krigeage Universel, 1969. (Cahiers du Centre de Morphologie Mathématique de Fontainebleau).
J.M. MONGET: De l’estimation statistique dans la théorie du champ de la pesanteur. (Thèse 3ème cycle, Faculté des Sciences de Paris, 1970). Une nouvelle méthode d’analyse statistique des données gravimétriques. (Bulletin Géodésique No 94, Déc. 1969, pp. 427–441).
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Monget, J.M., Albuisson, M. A new statistical treatment of gravity data. Bull. Geodesique 102, 451–466 (1971). https://doi.org/10.1007/BF02521861
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DOI: https://doi.org/10.1007/BF02521861