Editorial Type:
Article Category: Research Article
| Online Publication Date: 05 Nov 2007
Georges Matheron: Founder of Spatial Statistics
Georges Matheron: Founder of Spatial Statistics
Page Range: 205 – 334
Originally a geologist, Professor Georges Matheron (1930-2000) became increasingly mathematical in his approach to problem-solving. He made fundamental contributions to science by establishing new theoretical frameworks in spatial statistics, random sets, mathematical morphology, and the physics of random media. He inspired numerous other scientists first in France and later worldwide. His ideas and methods have been tested extensively and continue to be applied widely both inside and outside of geoscience. With Ronald Fisher and John Tukey, Georges Matheron belongs to the most influential mathematical statisticians of the twentieth century.
Agterberg, F. P., The Skew Frequency Distribution of Some Ore Minerals, Geologie en Mijnbouw, 1961, 40:133-137.
Agterberg, F. P., Autocorrelation Functions in Geology, in Geostatistics, ed. Daniel F. Merriam (New York: Plenum, 1970), 113-142.
Agterberg, F. P., Geomathematics—Mathematical Background and Geo-Science Applications (Amsterdam: Elsevier, 1974).
Agterberg, F. P., Recent Advances in Geostatistics; Report on a NATO Advanced Study Institute, Journal of the International Association for Mathematical Geology, 1976, 8:585-588.
Agterberg, F. P., Frequency Distributions and Spatial Variability of Geological Variables, in Proceedings, 14th International Symposium on Computers in Mineral Industries, held at Pennsylvania State University, October 1976 (New York: American Institute of Mining Engineering, 1977), 287-298.
Agterberg, F. P., Use of Spatial Analysis in Mineral Resource Evaluation, Mathematical Geology, 1984, 16: 565-589.
Agterberg, F. P., Appreciation of Contributions by Georges Matheron and John Tukey to a Mineral-Resources Research Project, Natural Resources Research, 2001, 10:287-295.
Baddeley, A., Georges Matheron (1930-2000), Bull. Internat. Statist. Inst., 53rd Session Proc., 2001, Tome LIX, Book 1:529-532.
Cressie, N., The Origins of Kriging, Mathematical Geology, 1990, 22:239-252.
De Wijs, H. J., Statistische Methodes Toegepast op de Schatting van Ertsreserves, Jaarboek der M.V. te Delft, 1948, 58-80.
De Wijs, H. J., Statistics of Ore Distribution, I, Geologie en Mijnbouw, 1951, 30:365-375.
Huijbregts, C., and G. Matheron, Universal Kriging—An Optimal Method for Estimating and Contouring in Trend Surface Analysis, in Can. Inst. Min. Metall., Special Volume 12 (Montreal, 1971), 159-169.
Jeulin, D., Georges Matheron (1930-2000), Proc. Royal Microscopical Soc., 2000, 35:287-288.
Journel, A. G., and C. J. Huijbregts, Mining Geostatistics (London: Academic Press, 1978).
Jowett, G. H., Least-Squares Regression Analysis for Trend Reduced Time Series, Jour. Royal Statist. Soc., Ser. B, 1955, 17:91-104.
Matheron, G., Le Gisement de Fer de Gara Djebilet, Bulletin Scientifique et Economique du B.R.M.A., No. 2, May 1955, published by Bureau de Recherches Minières de l'Algérie, 1955, 53-63.
Matheron, G., Application des Méthodes Statistiques à l'Évaluation des Gisements, Annales des Mines, déc. 1955, 50-75.
Matheron, G., Traité de Géostatistique Appliquée, Mém. Bur, Rech. Géol. Minières, 1962, 14:1-333.
Matheron, G., Principles of Geostatistics. Economic Geology, 1963, 58:1246-1266.
Matheron, G., Traité de Géostatistique Appliquée, Tome II, Le krigéage, Mém. Bur. Rech. Géol. Minières, 1963, 24, 333 p.
Matheron, G., Kriging, or Polynomial Interpolation Procedures: A contribution to polemics in mathematical geology. 1967.
Matheron, G., Random Functions and their Applications in Geology, in Geostatistics, ed. Daniel F. Merriam (New York, Plenum, 1970), 79-88.
Matheron, G., Structures Aléatoires et Géologie Mathématique, Rev. Intern. Statist. Inst., 1970, 38:1-11.
Matheron, G., Random Sets & Integral Geometry (New York: Wiley, 1974).
Matheron, G., Les Functions de Transfert des Petits Panneaux. Note Géostatistique No. 127 (Fontainebleau, France: Centre de Morphologie Mathématique, 1974).
Matheron, G., Forecasting Block Grade Distributions, The Transfer Functions, in Advanced Geostatistics in the Mining Industry, eds. M. Guarascio, et al. (Dordrecht, Holland: Reidel, 1976), 237-251.
Matheron, G., Estimating and Choosing—An Essay on Probability in Practice, translated by A. M. Hasofer (Berlin: Springer-Verlag, 1989).
Tukey, J. W., Some Further Inputs, in Geostatistics, ed. Daniel F. Merriam (New York: Plenum, 1990), 163-174.
Whitten, E. H. T., The General Linear Equation in Prediction of Gold Content in Witwatersrand Rocks, South Africa, in Symposium on Mathematical Statistics and Computer Applications in Ore Valuation, Special Issue of Jour. South African Institute of Mining and Metallurgy, 1966, 124-147.