A Characterization of Symmetric Isofactorial Models

Mathematical Geology

Volumn 33, Issue 1, 2001, Pages 103-114

  Subramanyam, A ^a   Pandalai, H S ^a  

^a INDIAN INSTITUTE OF TECHNOLOGY BOMBAY   (India)

Author keywords

Factors; Orthogonal basis; Simultaneous diagonalizability

Indexed keywords

EID: 0042281732     PISSN: 08828121     EISSN: None     Source Type: Journal    
DOI: 10.1023/A:1007566427583     Document Type: Article

References (20)

1. Armstrong, M., and Matheron, G., 1986, Disjunctive kriging revisited: Part I: Math. Geology, v. 18, no. 8, p. 711-727.
2. Goovaerts, P., 1993, Spatial orthogonality of the principal components computed from coregionalized variables: Math. Geology, v. 25, no. 3, p. 281-302.
3. Journel, A. G., and Huijbregts, Ch., 1978, Mining geostatistics: Academic Press, London, 600 p.
4. Lajaunie, Ch., and Lantuéjoul, Ch., 1989, Setting up the general methodology for discrete isofactorial models, in Armstrong, M., ed., Geostatistics, Vol. 1: Kluwer Academic, Dordrecht, p. 323-334.
5. Lancaster, H. O., 1958, The structure of bivariate distributions: Ann. Math. Statistics, v. 29, p. 719-736.
6. Matheron, G., 1965, Les Variables Régionalisées at leur Estimation: Masson, Paris, 305 p.
7. Matheron, G., 1973, Le Krigeage Disjonctif, Internal Report N-360: Centre de Géostatistique, Fontainebleau, 40 p.
8. Matheron, G., 1976a, Forecasting block grade distributions: The transfer functions, in Guarascio, M., David, M., and Huijbregts, Ch., eds., Advanced geostatistics in the mining industry: Riedel, Dordrecht, p. 237-251.
9. Matheron, G., 1976b, A simple substitute for conditional expectation: Disjunctive kriging, in Guarascio, M., David, M., and Huijbregts, Ch., eds., Advanced geostatistics in the mining industry: Riedel, Dodrecht, p. 221-236.
10. Matheron, G., 1982a, Pour une analyse krigeante des don'ees régionalisées, Internal Report N-732: Centre de Géostatistique, Fontainebleau, 22 p.
11. Matheron, G. 1982b, La destructuration des hautes teneurs et le krigeage des indicatrices, Internai Report N-761 : Centre de Géostatistique, Fontainebleau, 33 p.
12. Matheron, G., 1984, Isofactorial models and change of support in Verly, G., David, M., Journel, A. G., and Marechal, A., eds., Geostatistics for natural resources characterization: Riedel, Dodrecht, p. 449-468.
13. Matheron, G., 1989, Two classes of isofactorial models, in Armstrong, M., ed., Geostatistics: Kluwer Academic: Dodrecht, p. 309-322.
14. Myers, D. E., 1995, The linear coregionalisation model and simultaneous diagonalisation of the variogram matrix, in Fabbri, A. J., and Royer, A. G., eds., The Third Codata Conference on Geo-mathematics and Geostatistics, Sciences de la Terre, vol. 1, no. 32, Fondation Scientifique de la Géologie et ses Applications, Vandoeuvre-lès-Nancy CEDEX, p. 125-140.
15. Rivoirard, J., 1989, Models with orthogonal indicator residuals, in Amstrong, M., ed., Geostatistics, vol 1: Kluwer Academic: Dordrecht, p. 91-105.
16. Suro-Perez, V., and Journel, A. G., 1991, Indicator principal component kriging: Math. Geology, v. 23, no. 5, p. 759-788.
17. Wackernagel, H., 1985, L'Inference d'un modèle linéaire en géostatistique multivariable, Thése, Ecole Nationale Supérieure des Mines de Paris, 100 p.
18. Wackernagel, H., 1988, Geostatistical techniques for interpreting multivariate spatial information, in Chung, C. F., and others, eds., Quantitative analysis of mineral energy resources: Riedel, Dordrecht, p. 393-409.
19. Xie, T., and Myers, D. E., 1995, Fitting matrix-valued variogram models by simultaneous diagonal-ization (Part I: Theory): Math. Geology, v. 27, no. 7, p. 867-876.
20. Xie, T., Myers, D. E., and Long, A. E., 1995, Fitting matrix-valued variogram models by simultaneous diagonalization (Part II: Application): Math. Geology, v. 27, no. 7, p. 877-888.