A disjunctive kriging program for assessing point-support conditional distributions

Computers and Geosciences

Volumn 32, Issue 7, 2006, Pages 965-983

  Emery, Xavier ^a  

^a UNIVERSITY OF CHILE   (Chile)

Author keywords

Bivariate distributions; Geostatistics; Indicator cokriging; Isofactorial models; Orthogonal polynomials

Indexed keywords

CORRELATION METHODS; ESTIMATION; MATHEMATICAL MODELS; POLYNOMIALS;

BIVARIATE DISTRIBUTIONS; GEOSTATISTICS; INDICATOR COKRIGING; ISOFACTORIAL MODELS; ORTHOGONAL POLYNOMIALS;

STATISTICS;

CORRELATION METHODS; ESTIMATION; MATHEMATICAL MODELS; POLYNOMIALS; STATISTICS;

GEOSTATISTICS; KRIGING; NUMERICAL MODEL;

EID: 33745813878     PISSN: 00983004     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.cageo.2005.10.011     Document Type: Article

References (41)

1. Armstrong M. Positive definiteness is not enough. Mathematical Geology 24 1 (1992) 135-143
2. Armstrong M., and Matheron G. Disjunctive kriging revisited, Part I. Mathematical Geology 18 8 (1986) 711-728
3. Armstrong M., and Matheron G. Disjunctive kriging revisited, Part II. Mathematical Geology 18 8 (1986) 729-742
4. Chica-Olmo M., and Luque-Espinar J.A. Applications of the local estimation of the probability distribution function in environmental sciences by kriging methods. Inverse Problems 18 1 (2002) 25-36
5. Chilès, J.-P., Delfiner, P., 1999. Geostatistics: Modeling Spatial Uncertainty. Wiley, New York, NY, 695pp.
6. Demange C., Lajaunie C., Lantuéjoul C., and Rivoirard J. Global recoverable reserves: testing various changes of support models on uranium data. In: Matheron G., and Armstrong M. (Eds). Geostatistical Case Studies (1987), Reidel, Dordrecht 135-147
7. Deutsch, C.V., Journel, A.G., 1998. GSLIB: Geostatistical Software Library and User's Guide, second ed. Oxford University Press, New York, NY, 369pp.
8. Emery X. Conditional simulation of nongaussian random functions. Mathematical Geology 34 1 (2002) 79-100
9. Emery X. Variograms of order ω: a tool to validate a bivariate distribution model. Mathematical Geology 37 2 (2005) 163-181
10. Emery X. Simple and ordinary multigaussian kriging for estimating recoverable reserves. Mathematical Geology 37 3 (2005) 295-319
11. Emery X. Conditional simulation of random fields with bivariate gamma isofactorial distributions. Mathematical Geology 37 4 (2005) 419-445
12. Emery X., and Ortiz J.M. Histogram and variogram inference in the multigaussian model. Stochastic Environmental Research and Risk Assessment 19 1 (2005) 48-58
13. Emery X., and Ortiz J.M. Internal consistency and inference of change-of-support isofactorial models. In: Leuangthong O., and Deutsch C.V. (Eds). Geostatistics Banff 2004 (2005), Kluwer Academic Publishers, Dordrecht 1057-1066
14. Guibal D., and Remacre A.Z. Local estimation of the recoverable reserves: comparing various methods with the reality on a porphyry copper deposit. In: Verly G., David M., Journel A.G., and Maréchal A. (Eds). Geostatistics for Natural Resources Characterization (1984), Reidel, Dordrecht 435-448
15. Hochstrasser U.W. Orthogonal polynomials. In: Abramowitz M., and Stegun I.A. (Eds). Handbook of Mathematical Functions with Formulas, Graphs, and Mathematical Tables (1972), Wiley, New York, NY 771-802
16. Hu, L.Y., 1988. Mise en oeuvre du modèle gamma pour l'estimation des distributions spatiales. Doctoral Thesis, Ecole Nationale Supérieure des Mines de Paris, Fontainebleau, 142pp.
17. Hu L.Y. Comparing gamma isofactorial disjunctive kriging and indicator kriging for estimating local spatial distributions. In: Armstrong M. (Ed). Geostatistics (1989), Kluwer Academic Publishers, Dordrecht 154-165
18. Isaaks, E.H., 1984. Risk qualified mappings for hazardous waste sites: a case study in distribution free geostatistics. Master's Thesis, Stanford University, Stanford, 85pp.
19. Kennedy, W.J., Gentle, J.E., 1980. Statistical Computing. Marcel Dekker, New York, NY, 591pp.
20. Lajaunie C., and Lantuéjoul C. Setting up the general methodology for discrete isofactorial models. In: Armstrong M. (Ed). Geostatistics (1989), Kluwer Academic Publishers, Dordrecht 323-334
21. Matheron G. A simple substitute for conditional expectation: the disjunctive kriging. In: Guarascio M., David M., and Huijbregts C.J. (Eds). Advanced Geostatistics in the Mining Industry (1976), Reidel, Dordrecht 221-236
22. Matheron G. Forecasting block grade distributions: the transfer functions. In: Guarascio M., David M., and Huijbregts C.J. (Eds). Advanced Geostatistics in the Mining Industry (1976), Reidel, Dordrecht 237-251
23. Matheron G. Isofactorial models and change of support. In: Verly G., David M., Journel A.G., and Maréchal A. (Eds). Geostatistics for Natural Resources Characterization (1984), Reidel, Dordrecht 449-467
24. Matheron G. Une méthodologie générale pour les modèles isofactoriels discrets. Science de la Terre, série informatique géologique 21 (1984) 1-64
25. Matheron G. The internal consistency of models in geostatistics. In: Armstrong M. (Ed). Geostatistics (1989), Kluwer Academic Publishers, Dordrecht 21-38
26. Matheron G. Two classes of isofactorial models. In: Armstrong M. (Ed). Geostatistics (1989), Kluwer Academic Publishers, Dordrecht 309-322
27. Oliver M.A., Webster R., and McGrath S.P. Disjunctive kriging for environmental management. Environmetrics 7 3 (1996) 333-357
28. Rendu J.M. Disjunctive kriging: comparison of theory with actual results. Mathematical Geology 12 4 (1980) 305-320
29. Rivoirard J. Models with orthogonal indicator residuals. In: Armstrong M. (Ed). Geostatistics (1989), Kluwer Academic Publishers, Dordrecht 91-107
30. Rivoirard, J., 1994. Introduction to Disjunctive Kriging and Nonlinear Geostatistics. Clarendon Press, Oxford, 181pp.
31. Subramanyam A., and Pandalai H.S. A characterization of symmetric isofactorial models. Mathematical Geology 33 1 (2001) 103-114
32. Szegö, G., 1975. Orthogonal Polynomials, vol. 23, fourth ed. Colloquium Publication, American Mathematical Society, Providence, RI.
33. Verly G. The multigaussian approach and its applications to the estimation of local reserves. Mathematical Geology 15 2 (1983) 259-286
34. Wackernagel, H., 2003. Multivariate Geostatistics: An Introduction with Applications, third ed. Springer, Berlin, 403pp.
35. Webster R. Local disjunctive kriging of soil properties with change of support. Journal of Soil Science 42 2 (1991) 301-318
36. Webster R., and Oliver M.A. Optimal interpolation and isarithmic mapping of soil properties. VI. Disjunctive kriging and mapping the conditional probability. Journal of Soil Science 40 (1989) 497-512
37. Webster, R., Oliver, M.A., 2001. Geostatistics for Environmental Scientists. Wiley, Chichester, 286pp.
38. Wood G., Oliver M.A., and Webster R. Estimating soil salinity by disjunctive kriging. Soil Use and Management 6 3 (1990) 97-104
39. Yates, S.R., Warrick, A.W., Myers, D.E., 1986a. Disjunctive kriging. 1. Overview of estimation and conditional probability. 2. Examples. Water Resources Research 22 (5), 615-621 & 623-630.
40. Yates S.R., Warrick A.W., and Myers D.E. A disjunctive kriging program for two dimensions. Computers & Geosciences 12 3 (1986) 281-313
41. Yates S.R., and Yates M.V. Disjunctive kriging as an approach to management decision making. Soil Science Society of America Journal 52 6 (1988) 1554-1558