Abstract
A general methodology for building change of support models for discrete variables has been proposed by Matheron (1984a). This methodology is based on discrete diffusion processes (i.e. birth and death processes). As the marginal distribution as well as the diffusion coefficients are arbitrary, the method is applicable to a wide range of phenomena, but the inference of the parameters is a challenging problem. This article describes some methods for overcoming this problem.
This is a preview of subscription content, log in via an institution to check access.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
References
CHOQUET, G. (1969) Lectures on Analysis, W.A. Benjamin, Reading.
KARLIN, S. & Macgregor, J. (1959) Coincidence probabilities, Pacific Journal of Mathematics, 9, 1141–1164.
KLEINGELD, W.J. (1987) Geostatistics and the discrete particles, Doctorate Thesis, Ecole des Mines de Paris.
LAJAUNIE, Ch. (1986) Estimation directe des paramêtres de diffusion. Centre de Géostatistique, Report N-25/86/G.
LAJAUNIE, Ch. & Lantuejoul, Ch. (1986) Estimation des paramètres ponctuels des modèles isofactoriels discrets. Centre de Géostatistique, Report N-6/86/G.
LAJAUNIE, Ch. & Lantuejoul, Ch. (1987) Mise en oeuvre de la méthodologie des modèles isofactoriels discrets. Centre de Géostatistique, Report N-22/87/G.
LANTUEJOUL, Ch. (1986) Quelques remarques sur les facteurs de diffusion discret: une application de la positivité totale. Centre de Géostatistique, Report N-31/86/G.
Matheron, G. (1981) Quatre familles discrètes. Centre de Géostatistique, Report N703.
MATHERON, G. (1984a) Une méthodologie générale pour les modèles isofactoriels discrets. Sciences de la Terre, 21, 1–78, Annales de l’Ecole Supérieure de Géologie appliquée et de prospection minière,Nancy.
MATHERON, G. (1984b) The selectivity of the distributions and “the second principle of geostatistics”. In VERLY, G. et al. (eds) Geostatistics for natural ressources characterization, 421–423, NATO ASI Series C, Vol 122, Reidel, Dordrecht.
SICHEL, H.S. (1973) Statistical valuation of diamondiferous deposits. In Salamon, M.D.G. & Lancaster, F.H. (eds) Applications of Computers Methods in the Mineral Industry 17–25, the South African Institute of Mining and Metallurgy, Johannesburg.
ZAUPA-REMACRE, A. (1984). L’estimation du récupérable local - Le conditionnement uniforme, Doctorate Thesis, Ecole des mines de Paris.
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 1989 Springer Science+Business Media Dordrecht
About this paper
Cite this paper
Lajaunie, C., Lantuejoul, C. (1989). Setting up the General Methodology for Discrete Isofactorial Models. In: Armstrong, M. (eds) Geostatistics. Quantitative Geology and Geostatistics, vol 4. Springer, Dordrecht. https://doi.org/10.1007/978-94-015-6844-9_24
Download citation
DOI: https://doi.org/10.1007/978-94-015-6844-9_24
Publisher Name: Springer, Dordrecht
Print ISBN: 978-94-015-6846-3
Online ISBN: 978-94-015-6844-9
eBook Packages: Springer Book Archive