110
Views
1
CrossRef citations to date
0
Altmetric
Original Articles

On a true value of risk

Pages 263-277 | Received 05 Oct 2017, Accepted 01 Dec 2017, Published online: 21 Dec 2017

References

  • Abellan, J. 2006. “Uncertainty Measures on Probability Intervals from the Imprecise Dirichlet Model.” International Journal of General Systems 35 (5): 509–528.10.1080/03081070600687643
  • Aven, T. 2012. “Probability Does Not Exist, but Does Risk Exist?.” ESRA Newsletter, 2–3.
  • de Cooman, G. 2002. “Precision–Imprecision Equivalence in a Broad Class of Imprecise Hierarchical Uncertainty Models.” Journal of Statistical Planning and Inference 105: 175–198.10.1016/S0378-3758(01)00209-9
  • de Cooman, G., and P. Walley. 2002. “A Possibilistic Hierarchical Model for Behaviour under Uncertainty.” Theory and Decision 52: 327–374.10.1023/A:1020296514974
  • De Finetti, B. 1972. Probability, Induction and Statistics: The Art of Guessing. New York: Wiley.
  • De Finetti, B. 1974. Theory of Probability. New York: Wiley.
  • Furuta, A. 2012. “One Thing is Certain: Heisenberg’s Uncertainty Principle is Not Dead.” Scientific American.
  • Gardenfors, P., and N.-E. Sahlin. 1982. “Unreliable Probabilities, Risk Taking, and Decision Making.” Synthese 53: 361–386.10.1007/BF00486156
  • Goldman, A. 1979. “What is Justified Belief?” In Justification and Knowledge, edited by G. S. Pappas, 1–23. Dordrecht: D. Reidel Publishing Company.
  • Good, I. J. 1962. “Subjective Probability as the Measure of a Non-Measurable Set.” In Logic, Methodology and Philosophy of Science, edited by E. Nagel, P. Suppes, and A. Tarski, 319–329. Stanford: Stanford University Press.
  • Hendriks, V. F. 2006. Mainstream and Formal Epistemology. New York: Press, Cambridge University.
  • Hultkrantz, L., and M. Svensson. 2012. “The Value of a Statistical Life in Sweden: A Review of the Empirical Literature. Health Policy 108 (2–3): 302–310. doi:10.1016/j.healthpol.2012.09.007.
  • Kaplan, S., and B. J. Garrick. 1981. “On the Quantitative Definition of Risk.” Risk Analysis 1 (1): 11–27.10.1111/risk.1981.1.issue-1
  • Kozine, I., and V. Krymsky. 2009a. “Bounded Densities and Their Derivatives: Extension to other Domains.” In Imprecision in Statistical Theory and Practice, edited by P. Coolen-Schrijner, F. Coolen, M. Troffaes, T. Augustin, and S. Gupta, 29–42. Greensboro, NC: Grace Scientific Publishing. doi:10.1080/15598608.2009.10411909.
  • Kozine, I., and V. Krymsky. 2009b. “Computing Interval-Valued Statistical Characteristics: What is the Stumbling Block for Reliability Applications?” International Journal of General Systems 38 (5): 547–565. doi:10.1080/03081070802187798.
  • Kozine, I., and V. Krymsky. 2012. “An Interval-Valued Reliability Model with Bounded Failure Rates.” International Journal of General Systems 41 (8): 760–773. doi:10.1080/03081079.2012.721201.
  • Kozine, I., and L. V. Utkin. 2002. “Processing Unreliable Judgements with an Imprecise Hierarchical Model.” Risk Decision and Policy 7 (3): 325–339.10.1017/S1357530902000716
  • Kuznetsov, V. 1991. Interval Statistical Models. Moscow: Radio and Sviaz . (in Russian).
  • Levi, I. 1980. The Enterprise of Knowledge. London: MIT Press.
  • Mosleh, A., and V. M. Bier. 1996. “Uncertainty About Probability: A Reconciliation with the Subjective Viewpoint.” IEEE Transactions on Systems, Man, and Cybernetics – Part A: Systems and Humans 26 (3): 303–310.
  • Nau, R. F. 1992. “Indeterminate Probabilities on Finite Sets.” Annals of Statistics 20: 1737–1767.10.1214/aos/1176348888
  • Rosa, E. A.. 2010. “The Logical Status of Risk – To Burnish or to Dull.” Journal of Risk Research 13 (3): 239–253. doi:10.1080/13669870903484351.
  • Sahlin, N.-E. 2012. “Unreliable Probabilities, Paradoxes, and Epistemic Risks.” In Handbook of Risk Theory, 477–498. Dordrecht: Springer Netherlands. doi:10.1007/978-94-007-1433-5_18.
  • Savage, L. J. 1954. The Foundations of Statistics. New York: Wiley.
  • Smith, C. A. B. 1961. “Consistency in Statistical Inference and Decision.” Journal of the Royal Statistical Society: Series B 23: 1–37.
  • Suppes, P. 1974. “The Measurement of Belief.” Journal of the Royal Statistical Society: Series B 36: 160–175.
  • Utkin, L. 2004. “Probabilities of Judgments Provided by Unknown Experts by Using the Imprecise Dirichlet Model.” Risk, Decision and Policy 9 (4): 391–4000.
  • Utkin, L. 2006. “Cautious Reliability Analysis of Multi-State and Continuum-State Systems Based on the Imprecise Dirichlet Model.” International Journal of Reliability, Quality and Safety Engineering 13 (5): 433–453.10.1142/S0218539306002367
  • Utkin, L., and I. Kozine. 2010. “On New Cautious Structural Reliability Models in the Framework of Imprecise Probabilities.” Structural Safety 32 (6): 411–416. doi:10.1016/j.strusafe.2010.08.004.
  • Walley, P. 1991. Statistical Reasoning with Imprecise Probabilities. New York: Chapman and Hall.10.1007/978-1-4899-3472-7
  • Walley, P. 1996. “Inferences from Multinomial Data: Learning about a Bag of Marbles.” Journal of the Royal Statistical Society 58 (1): 3–57.
  • Walley, P. 1997. “Statistical Inferences Based on a Second-Order Possibility Distribution.” International Journal of General Systems 26: 337–383.
  • Walley, P., L. Gurrin, and P. Burton. 1996. “Analysis of Clinical Data Using Imprecise Prior Probabilities.” The Statistitian 45 (4): 457–485.10.2307/2988546

Reprints and Corporate Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

To request a reprint or corporate permissions for this article, please click on the relevant link below:

Academic Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

Obtain permissions instantly via Rightslink by clicking on the button below:

If you are unable to obtain permissions via Rightslink, please complete and submit this Permissions form. For more information, please visit our Permissions help page.