Uncertainty about probability: A reconciliation with the subjectivist viewpoint

IEEE Transactions on Systems, Man, and Cybernetics Part A:Systems and Humans.

Volumn 26, Issue 3, 1996, Pages 303-310

  Mosleh, Ali ^a   Bier, Vicki M ^b  

^a UNIVERSITY OF MARYLAND   (United States)

^b University of Wisconsin ^*  (United States)

Author keywords

[No Author keywords available]

Indexed keywords

COGNITIVE SYSTEMS; DECISION MAKING; SYSTEMS ENGINEERING; SYSTEMS SCIENCE;

COGNITIVE IMPRECISION; SUBJECTIVE THEORY; UNCERTAINTY;

PROBABILITY;

EID: 0030150628     PISSN: 10834427     EISSN: None     Source Type: Journal    
DOI: 10.1109/3468.487956     Document Type: Review

References (36)

1. G. Apostolakis, "Probability and risk assessment: The subjectivistic viewpoint and some suggestions," Nuclear Safety, vol. 19, pp. 305-315, 1978.
2. _, "The concept of probability in safety assessments of technological systems," Science, vol. 250, pp. 1359-1364, 1990.
3. V. M. Bier, "Uncertainty irrelevence and preferences over ambiguity in expected utility decision theory," in Uncertainty Modeling and Analysis: Theory and Applications, B. M. Ayyub and M. M. Guppta, Eds. Amsterdam: North Holldan, 1994.
4. V. M. Bier and A. Mosleh, "The analysis of accident precursors and near misses: Implications for risk assessment and risk management," Reliability Engineering and System Safety, vol. 27, pp. 91-101, 1990.
5. B. de Finetti, "Foresight: Its logical laws, its subjective sources," 1937, reprinted in Studies in Subjective Probability, H. Kyburg and H. Smokler, Eds. New York: Wiley, 1964.
6. _, Probability, Statistics, and Induction: The Art of Guessing. New York: Wiley, 1972.
7. W. Edwards, 1966, reprinted in J. Marschak, "Personal probabilities of probabilities," Theory and Decision, vol. 6, pp. 136-139, 1975.
8. D. Ellsberg, "Risk, ambiguity, and the savage axioms," Quart. J. Econ., vol. 75, pp. 643-699, 1961.
9. T. L. Fine, Theories of Probability: An Examination of Foundations. New York: Academic, 1973.
10. P. C. Fishburn, "Ellsberg revisited: A new look at comparative probability," Annals of Stat., vol. 11, pp. 1047-1059, 1983.
11. D. G. Fryback, P. W. Glynn, and F. Sainfort, "A difficulty in the computation of expected utilities in medical decision making," draft.
12. P. Gärdenfors and N.-E. Sahlin, "Unreliable probabilities, risk taking, and decision making," Synthese, vol. 53, pp. 361 386, 1982,
13. I. J. Good, "Subjective probability as the measure of a non-measurable set," in Logic, Methodology and Philosophy of Science, E. Nagel, P. Suppes, and A. Tarski, Eds. Stanford: Stanford Univ. Press, 1962.
14. _, "Some history of the hierarchical bayesian methodology," in Good Thinking: The Foundations of Probability and Its Applications, I. J. Good, Ed. Minneapolis, MN: Univ. of Minnesota Press, 1983.
15. G. B. Hazen, "Decision versus policy: An expected utility resolution of the ellsberg paradox," in Decision Making under Risk and Uncertainty: New Models and Empirical Findings, J. Geweke, Ed. Dordrecht: Kluwer, 1992.
16. M. Henrion, "The value of knowing how little you know: The advantages of a probabilistic treatment of uncertainty in policy analysis," Ph.D. dissertation, Carnegie Mellon University, Pittsburgh, PA, 1982.
17. _, "The value of knowing how little you know: Part I," manuscript, Department of Engineering and Public Policy, Carnegie Mellon University, Pittsburgh, PA, 1989.
18. R. A. Howard, "Uncertainty about probability: A decision analysis perspective," Risk Analysis, vol. 8, pp. 91-98, 1988.
19. S. Kaplan and B. J. Garrick, "On the quantitative definition of risk," Risk Analysis, vol. 1, pp. 11-27, 1981.
20. A. Kolmogorov, Foundations of the Theory of Probability. New York: Chelsea, 1956.
21. B. O. Koopman, "The axioms and algebra of intuitive probability," Annals of Mathematics, vol. 41, pp. 269-292, 1940.
22. I. Levi, "Ignorance, probability, and rational choice," Synthese, vol. 53, pp. 387-417, 1982.
23. R. D. Luce and D. H. Krantz, "Conditional expected utility," Econometrica, vol. 39, pp. 253-271, 1971.
24. R. D. Luce and H. Raiffa, Games and Decisions. New York: Wiley, 1957.
25. J. Marschak, "Do personal probabilities of probabilities have an operational meaning?" 1966,
26. reprinted in J. Marschak, "Personal probabilities of probabilities," Theory and Decision, vol. 6, pp. 136-139, 1975.
27. _, "Personal probabilities of probabilities," Theory and Decision, vol. 6, pp. 121-125, 1975.
28. M. G. Morgan and M. Henrion, Uncertainty: A Guide to Dealing with Uncertainty in Quantitative Risk and Policy Analysis. Cambridge: Cambridge Univ. Press, 1990.
29. R. F. Nau, "Indeterminate probabilities on finite sets," Annals of Stat., vol. 20, pp. 1737-1767, 1992.
30. S. I. Press, Bayesian Statistics: Principles, Models, and Applications. New York: Wiley, 1989.
31. F. Ramsey, "Truth and probability," 1931, reprinted in Studies in Subjective Probability, H. Kyburg and H. Smokier, Eds. New York: Wiley, 1964.
32. L. J. Savage, The Foundations of Statistics. New York: Wiley, 1954.
33. C. A. B. Smith, "Consistency in statistical inference and decision," J. Royal Stat. Soc. Ser. B, vol. 23, pp. 1-37, 1961.
34. P. Suppes, "The measurement of belief," J. Royal Stat. Soc. Ser. B, vol. 36, pp. 160-175, 1974.
35. W. K. Viscusi, "Prospective reference theory: Toward an explanation of the paradoxes," J. Risk and Uncertainty, vol. 2, pp. 235-264, 1989.
36. R. L. Winkler, "Ambiguity, probability, preference, and decision analysis," J. Risk and Uncertainty, vol. 4, pp. 285-297, 1991.