A new nonparametric discriminant analysis algorithm accounting for bounded data errors

Mathematical Geology

Volumn 34, Issue 2, 2002, Pages 223-246

  Nivlet, P ^a   Fournier, F ^a   Royer, J J ^b  

^a IFP ENERGIES NOUVELLES   (France)

^b UNIVERSITÉ DE LORRAINE   (France)

Author keywords

Borehole data; Interval arithmetic; Pattern recognition; Rock typing

Indexed keywords

BOREHOLE; DATA PROCESSING;

EID: 26844518012     PISSN: 08828121     EISSN: 15738868     Source Type: Journal    
DOI: 10.1023/A:1014468303406     Document Type: Article

References (19)

1. Alefeld, G., and Herzberger, J., 1983, Introduction to interval computations (Computer Science and Applied Mathematics no. 42): Academic Press, New York, 333 p.
2. Allen, D., Bergt, D., Best, D., Clark, B., Falconer, I., Hache, J. M., Kienitz, C., Lesage, M., Rasmus, J., Roulet, C., and Wraight, P., 1989, Logging while drilling: Oilfield Rev., v. 1, no. 1, p. 4-19.
3. Beaubouef, T., Petry, F. E., and Arora, G., 1998, Information - theoretic measures of uncertainty for rough sets and rough relational databases: J. Inf. Sci., v. 109, p. 185-195.
4. Cozman, F. G., 1997a, An informal introduction to quasi-Bayesian theory (and lower probability, lower expectations, choquet capacities, robust Bayesian methods, etc) for artificial intelligence: Robotic Institute, Carneghie Mellon University Report. Available at http//:www.cs.cmu.edu/~fgcozman.
5. Cozman, F. G., 1997b, Robustness analysis of Bayesian networks with local convex sets of distributions, in electronic proceedings of the 13th Annual Conference on Uncertainty and Artificial Intelligence. Available at http//:www.cs.cmu.edu/~fgcozman.
6. Dequirez, P. Y., Fournier, F., Blanchet, C., Feuchtwanger, T., and Torriero, D., 1995, Integrated stratigraphic and lithologic interpretation of the East Senlac heavy oil pool, in SEG 65th Annual International Society of Exploration Geophysicists Meeting, Houston, October 8-13, 1995, Expanded abstracts, Chap. 1.4, p. 104-107.
7. Doser, D. I., Crain, K. D., Baker, M. R., Kreinovich, V., and Gerstenberger, M. C., 1998, Estimating uncertainties for geophysical tomography: Reliable Comput., v. 4, no. 3, p. 241-268.
8. Efron, B., 1981, Nonparametric estimates of standard error: The jackknife, the bootstrap and other methods: Biometrika, v. 68, no. 3, p. 589-599.
9. Epanechnikov, V. A., 1969, Nonparametric estimate of a multivariate probability density: Theor. Probab. Appl., v. 14, p. 179-188.
10. Fisher, R. A., 1936, The use of multiple measurements in taxonomic problems: Ann. Eugenics, v. 7, p. 153-158.
11. Fukunaga, K., 1972, Introduction to statistical pattern analysis: Academic Press, New York, 591 p.
12. Hand, D. J., 1981, Discrimination and classification: Wiley, New York, 333 p.
13. Jaulin, L., 2000, Le Calcul Ensembliste par Analyse par Intervalles et ses Applications. Habilitation Thesis Disertation. Available at http://www.istia.univ-angers.fr/~jaulin.
14. Moore, R. E., 1966, Interval analysis: Prenctice-Hall, Englewood Cliffs, 145 p.
15. Pawlak, Z., 1991, Rough sets; Theoretical aspects of reasoning about data: (Series D: System theory, knowledge engineering and problem solving): Kluwer Academic Publishers, Dordrecht, 229 p.
16. Ripley, B. D., 1987, Stochastic simulation, Wiley series in probability and mathematical statistics: Wiley, New York, 233 p.
17. Silverman, B. W., 1986, Density estimation for statistical and data analysis (Monographs on Statistics and Applied Probabilities no. 26): Chapman and Hall, London, 175 p.
18. Walley, P., 1991, Statistical reasoning with imprecise probabilities (Monographs on Statistics and Applied Probabilities no. 42): Chapman and Hall, London, 706 p.
19. Zaffalon, M., 1999, A credal approach to naive classification, in electronic proceedings of the 1st International Sympsosium of Imprecise Probabilities and Their Applications. Available at http//:www.ensmain.rug.ac.be.