Skip to main content
SpringerLink
Log in

Lognormal kriging—the general case

  • Published:
Journal of the International Association for Mathematical Geology Aims and scope Submit manuscript

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.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Log in via an institution

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

Similar content being viewed by others

References

  • 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.

    Google Scholar 

  • 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  • Marechal, A., 1974, Krigeage normal et lognormal: Ecole des Mines de Paris, Centre de Morphologie Matematique, unpublished note, N376. 10 pp.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).

    Google Scholar 

  • 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.

    Google Scholar 

  • Rendu, J. M., 1979, Normal and lognormal estimation: Jour. Math. Geol., v. 11, p. 407–422.

    Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Department of Mining and Mineral Engineering, The University of Leeds, LS2 9JT, Leeds, England

    P. A. Dowd

Authors
  1. P. A. Dowd
    View author publications

    You can also search for this author in PubMed Google Scholar

Rights and permissions

Reprints and permissions

About this article

Cite this article

Dowd, P.A. Lognormal kriging—the general case. Mathematical Geology 14, 475–499 (1982). https://doi.org/10.1007/BF01077535

Download citation

  • Received:

  • Revised:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF01077535

Key words

Search

Navigation