Abstract
A theoretical study of the general case of the estimation of regionalized variables with a lognormal distribution is presented. The results of this study are compared to those obtained assuming conservation of lognormality. The numerical significance of the different solutions is illustrated by several simple examples.
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Aitchison, J., and Brown, J. A. C., 1957, The lognormal distribution: Cambridge University Press.
Krige, D. G., 1951, A statistical approach to some basic mine valuation problems in the Witswatersrand: J. Chem. Metall. Min. Soc. S. Africa, v. 52, p. 119–139.
Krige, D. G., 1960, On the departure of ore value distribution from the lognormal model in South African gold mines: Jour. S. African Inst. Min. Metall., v. , p. 233–244.
Krige, D. G., 1978, Lognormal—De Wijsian geostatistics for ore evaluation: S. African Inst. Min. Metall, Monograph series, 40 pp.
Lallement, B., 1975, Geostatistical evaluation of a gold deposit,in Proceedings of the 13th international APCOM Symposium: University of Clausthal Federal Republic of Germany, I–IV 1, I–IV 15.
Marechal, A., 1974, Krigeage normal et lognormal: Ecole des Mines de Paris, Centre de Morphologie Matematique, unpublished note, N376. 10 pp.
Matheron, G., 1962, Traité de géostatistique appliquée: Technip, Paris, Vols. 1 and 2. (See also the chapter, Transcription of lognormal theory, in the Russian version of this text: Osnovy Prikladnoi Geostatistiki (Matheron 1968), Mir, Moscow).
Matheron, G., 1971, The theory of regionalized variables and its applications, les Cahiers du Centre de Morphologie: Mathematique de Fontainebleau, Ecole des Mines de Paris, v. 5, 211 pp.
Noble, B., 1964, Numerical methods: 1. Iteration programming and algebraic solutions: Oliver and Boyd, Edinburgh, UK, 156 pp.
Rendu, J. M., 1979, Normal and lognormal estimation: Jour. Math. Geol., v. 11, p. 407–422.
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Dowd, P.A. Lognormal kriging—the general case. Mathematical Geology 14, 475–499 (1982). https://doi.org/10.1007/BF01077535
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DOI: https://doi.org/10.1007/BF01077535