Successive Nonparametric Estimation of Conditional Distributions

Mathematical Geology

Volumn 35, Issue 1, 2003, Pages 39-52

  Vargas Guzmán, J Antonio ^a   Dimitrakopoulos, Roussos ^a  

^a UNIVERSITY OF QUEENSLAND   (Australia)

Author keywords

Cokriging of indicators; Conditional covariance; Indicator simulation; Non Gaussian random functions; Nonparametric estimation

Indexed keywords

CONDITIONALITY; GEOSTATISTICS; KRIGING; MATHEMATICAL ANALYSIS;

EID: 0742305759     PISSN: 08828121     EISSN: None     Source Type: Journal    
DOI: 10.1023/A:1022361028297     Document Type: Article

References (25)

1. Bartlett, M. S., 1945, Negative probability: Proc. Cambridge Philos. Soc., v. 41, p. 71-73.
2. Carle, S., and Fogg, G. E., 1996, Transition probability-based indicator geostatistics: Math. Geol., v. 28, no. 4, p. 453-476.
3. Carr, J., and Glass, C. E., 1985, Treatment of earthquake ground motion using regionalized variables: Math. Geol., v. 17, no. 3, p. 221-241.
4. Chiles, J. P., and Delfiner, P., 1999, Geostatistics: Modeling spatial uncertainty: Wiley, New York, 695 p.
5. Christakos, G., and Hristopulos, D. T., 1998, Stochastic indicator analysis of contaminated sites: J. Appl. Probab., v. 34, no. 4, p. 988-1008.
6. Cox, D. R., and Snell, E. J., 1989, Analysis of binary data: Chapman and Hall, London, 236 p.
7. Data-Gupta, A., Xue, G., and Lee, S. H., 1999, Nonparametric transformations for data correlation and integration, theory and practice, in Schatzinger, R. A., and Jordan, J. F., eds., Reservoir characterization recent advances, Am. Assoc. Petroleum Geologists, Memoir 71, Tulsa, OK, p. 381-396.1
8. Dimitrakopoulos, R., and Dagbert, M., 1993, Sequential modeling of relative indicator variables: Dealing with multiple lithology types, in A. Soares, ed., Geostatistics Tróia '92: Kluwer, Dordrecht, The Netherlands, p. 413-424.
9. Fytas, K., Chaouai, N.-E., and Lavigne, M., 1990, Gold deposits estimation using indicator kriging: CIM Bull., v. 80, p. 77-83.
10. Goovaerts, P., 1994, Comparison of CIK, IK and MIK performances for modeling conditional probabilities of categorical variables, in Dimitrakopoulos, R., ed., Geostatistics for the next century: Kluwer, Dordrecht, The Netherlands, p. 18-29.
11. Goovaerts, P., 1997, Geostatistics for natural resources evaluation: Oxford University Press, New York, 483 p.
12. Goovaerts, P., Webster, R., and Dubois, J. P., 1997, Assessing the risk of soil contamination in the Swiss Jura using indicator geostatistics: Environ. Ecol. Stat., v. 4, p. 31-48.
13. Hohn, E. M., and McDowell, R. R., 1994, Geostatistical analysis of oil production and potential using indicator kriging, in Yarus, J. M., and Chambers, R. L., eds., Stochastic modeling and geostatistics, Am. Assoc. Petroleum Geologists, Computer Applications in Geology, No. 3, Tulsa, OK.
14. Journel, A. G., 1983, Nonparametric estimation of spatial distributions: Math. Geol., v. 15, no. 3., p. 445-468.
15. Journel, A. G., and Alabert, F. G., 1990, A new method for reservoir mapping: J. Pet. Technol., Feb., 1990, p. 212-218.
16. Journel, A. G., and Posa, D., 1990, Characteristic behavior and order relations for indicator variograms: Math. Geol., v. 30, no. 8, p. 1011-1025.
17. Lemmer, I. C., 1984, Estimating local recoverable reserves via indicator kriging, in Verly, G., David, M., Journel, A. G., and Marechal, A., eds., Geostatistics for natural resources characterization, Part 1: Reidel, Dordrecht, The Netherlands, p. 365-384.
18. Soares A., 1992, Geostatistical estimation of multiphase structures: Math. Geol., v. 24, no. 2, p. 149160.
19. Solow, A. R., 1986, Mapping by simple indicator kriging: Math. Geol., v. 18, no. 3, p. 335-352.
20. Srivastava, R. M., 1992, Reservoir characterization with probability field simulation, Society of Petroleum Engineers, Richardson, TX. paper #24753.
21. Sullivan, J., 1984, Conditional recovery estimation through probability kriging-Theory and practice, in, Verly, G., David, M., Journel, A. G., and Marechal, A., eds., Geostatistics for natural resources characterization, Part 1: Reidel, Dordrecht, The Netherlands, p. 365-384.
22. Suro Pérez, V., and Journel, A. G., 1991, Indicator principal component kriging: Math. Geol., v. 23, no. 5, p. 759-788.
23. Vargas-Guzmán, J. A., and Yeh, T.-C. J., 1999, Sequential kriging and cokriging, two powerful geostatistical approaches: Stochastic Environ. Res. Risk Assess., v. 13, no. 6, p. 416-435.
24. Vargas-Guzmán, J. A., and Dimitrakopoclos, R., 2002, Conditional Simulation of random fields by successive residuals: Math. Geol., v. 34, no. 5, p. 597-611.
25. Yao, T., and Journel, A. G., 1998, Automatic modeling of (cross) covariance tables using fast Fourier transform: Math. Geol., v. 30, no. 6, p. 589-616.