Dependable Handling of Uncertainty

Reliable Computing

Volumn 9, Issue 6, 2003, Pages 407-418

  Berleant, Daniel ^a   Cheong, Mei Peng ^a   Chu, Chris ^a   Guan, Yong ^a   Kamal, Ahmed ^a   Sheblé, Gerald ^a   Ferson, Scott ^b   Peters, James F ^c  

^a Iowa State University   (United States)

^b APPLIED BIOMATHEMATICS   (United States)

^c UNIVERSITY OF MANITOBA   (Canada)

Author keywords

[No Author keywords available]

Indexed keywords

ALGORITHMS; INFORMATION ANALYSIS; KNOWLEDGE BASED SYSTEMS; PROBLEM SOLVING; SET THEORY;

UNCERTAINTY QUANTIFICATIONS;

UNCERTAIN SYSTEMS;

EID: 0142219406     PISSN: 13853139     EISSN: None     Source Type: Journal    
DOI: 10.1023/A:1025888503247     Document Type: Article

References (35)

1. Benford, F.: The Law of Anomalous Numbers, Proceedings of the American Philosophical Society 78 (1938), pp. 551-572.
2. Berleant, D. and Zhang, J.: Using Correlation to Improve Envelopes around Derived Distributions, Reliable Computing 10 (1) (2004), to appear, http://class.ee.iastate.edu/berleant/home/.
3. Chandrakasan, A., Bowhill, W.J., and Fox, F. (eds): Design of High-Performance Microprocessor Circuits, IEEE Press, 2001.
4. Chang, C.-S.: Performance Guarantees in Communication Networks, Springer-Verlag, 2000.
5. Coolen, F. P. A., Coolen-Schrijner, P., and Yan, K. J.: Nonparametric Predictive Inference in Reliability, Reliability Engineering and System Safety 78 (2002), pp. 185-193.
6. Cozman, F.: Credal Networks, Artificial Intelligence 120 (2000), pp. 199-233.
7. Cui, W. C. and Blockley, D. I.: Interval Probability Theory for Evidential Support, International Journal of Intelligent Systems 5 (1990), pp. 183-192.
8. Davis, J. P. and Hall, J. W.: A Software-Supported Process for Assembling Evidence and Handling Uncertainty in Decision-Making, Decision Support Systems 35 (2003), pp. 415-433.
9. Dubois, D. and Prade, H.: Possibility Theory: An Approach to Computerized Processing of Uncertainty, Plenum Press, 1988.
10. Electronic Bulletin of the Rough Set Community, http://www2.cs.uregina.ca/̃roughset/.
11. Fagiuoli, E. and Zaffalon, M.: An Exact Interval Propagation Algorithm for Polytrees with Binary Variables, Artificial Intelligence 106 (1) (1998), pp. 77-107.
12. Fuzzy Sets and Systems, Elsevier, http://www.elsevier.nl/locate/fss.
13. Hampel, F.: Robust Statistics: A Brief Introduction and Overview, Research Report No. 94, Seminar für Statistik, Edgenössische Technische Hochschule (ETH), Switzerland, 2001, http://stat.ethz.ch/Research-Reports/94.pdf. See also Huber, P. J.: Robust Statistics, Wiley, 1981. See also Int. Conf. on Robust Statistics 2003, http://win-www.uia.ac.be/u/icors03/.
14. Hampel, F.: Robust Statistics: A Brief Introduction and Overview, Research Report No. 94, Seminar für Statistik, Edgenössische Technische Hochschule (ETH), Switzerland, 2001, http://stat.ethz.ch/Research-Reports/94.pdf. See also Huber, P. J.: Robust Statistics, Wiley, 1981. See also Int. Conf. on Robust Statistics 2003, http://win-www.uia.ac.be/u/icors03/.
15. Hampel, F.: Robust Statistics: A Brief Introduction and Overview, Research Report No. 94, Seminar für Statistik, Edgenössische Technische Hochschule (ETH), Switzerland, 2001, http://stat.ethz.ch/Research-Reports/94.pdf. See also Huber, P. J.: Robust Statistics, Wiley, 1981. See also Int. Conf. on Robust Statistics 2003, http://win-www.uia.ac.be/u/icors03/.
16. Hill, B. M.: Posterior Distribution of Percentiles: Bayes' Theorem for Sampling from a Population, Journal of the American Statistical Association 63 (1968), pp. 677-691.
17. Hill, T. P.: The Difficulty of Faking Data, Chance 12 (3) (1999), pp. 27-31.
18. Hutchinson, T. P. and Lai, C. D.: Continuous Bivariate Distributions Emphasizing Applications, Rumsby Scientific Publishing, Adelaide, 1990.
19. International Journal of Approximate Reasoning, Elsevier.
20. Kolmogoroff, A.: Confidence Limits for an Unknown Distribution Function, Annals of Mathematical Statistics 12 (4) (1941), pp. 461-463.
21. Kyburg, H. E.: Interval-Valued Probabilities, http://ippserv.rug.ac.be/documentation/interval_prob/interval_prob.html (as of 6/03).
22. Kyberg, H. E. and Pittarelli, M.: Set-Based Bayesianism, IEEE Trans. On Systems, Man, and Cybernetics 26 (3) (1996), pp. 324-339.
23. Levi, I.: The Enterprise of Knowledge, an Essay on Knowledge, Credal Probabiliy, and Chance, MIT Press, 1980.
24. Little, R. J. and Rubin, D. B.: Statistical Analysis with Missing Data, Wiley, 1987.
25. Manski, C. F.: Partial Identification of Probability Distributions, Springer-Verlag, 2003.
26. Mehrotra, V.: Modeling the Effects of Systematic Process Variation on Circuit Performance, dissertation, MIT, 2001.
27. Nelsen, R. B.: An Introduction to Copulas, Lecture Notes in Statistics 139, Springer-Verlag, 1999.
28. Newcomb, S.: Note on the Frequency of Use of the Different Digits in Natural Numbers, American Journal of Mathematics 4 (1881), pp. 39-40.
29. Sherwood, H. quoted at http://gro.creditlyonnais.fr/content/rd/home_copulas.htm as of 6/03, notes the great, yet often under-recognized overlap among the areas of joint probability distributions with fixed marginals, copulas, doubly stochastic measures, Markov operators, and dependency relations.
30. Staum, J.: Fundamental Theorems of Asset Pricing for Good Deal Bounds, Mathematical Finance, forthcoming. See also Technical Report 1351, Dept. of ORIE, Cornell University, 2002.
31. Staum, J.: Fundamental Theorems of Asset Pricing for Good Deal Bounds, Mathematical Finance, forthcoming. See also Technical Report 1351, Dept. of ORIE, Cornell University, 2002.
32. The Imprecise Probabilities Project, http://ippserv.rug.ac.be/home/ipp.html.
33. Vansteelandt, S. and Goetghebeur, E.: Analyzing the Sensitivity of Generalized Linear Models to Incomplete Outcomes via the IDE Algorithm, Journal of Computational and Graphical Statistics 10 (4) (2001), pp. 656-672.
34. Wang, Z.: Internet QoS: Architectures and Mechanisms for Quality of Service, Morgan-Kaufmann, 2001.
35. www.gloriamundi.org, gro.creditlyonnais.fr, and www.risklab.ch are sources for reports on mathematical finance, copulas, and related items, including a few mentioning Spearman correlation (as of 6/03).