Notes on "Notes on conditional previsions"

International Journal of Approximate Reasoning

Volumn 44, Issue 3, 2007, Pages 358-365

  Vicig, Paolo ^a   Zaffalon, Marco ^b   Cozman, Fabio G ^c  

^a UNIVERSITY OF TRIESTE   (Italy)

^b DALLE MOLLE INSTITUTE FOR ARTIFICIAL INTELLIGENCE IDSIA   (Switzerland)

^c UNIVERSITY OF SÃO PAULO   (Brazil)

Author keywords

Coherence; Envelope theorem; Generalized Bayes rule; Imprecise previsions; Natural extension; Previsions

Indexed keywords

COHERENT LIGHT; PROBABILISTIC LOGICS; THEOREM PROVING;

ENVELOPE THEOREM; GENERALIZED BAYES RULE; IMPRECISE PREVISIONS; NATURAL EXTENSION; PREVISIONS;

FORMAL LOGIC;

EID: 33846479469     PISSN: 0888613X     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.ijar.2006.07.018     Document Type: Article

References (22)

1. Adams E.W. A Primer of Probability Logic (2002), CSLI Publications, Stanford, CA
2. Armstrong T.E., and Sudderth W.D. Locally coherent rates of exchange. Ann. Statist. 17 (1989) 1394-1408
3. Biazzo V., Gilio A., Lukasiewicz T., and Sanfilippo G. Probabilistic logic under coherence, model-theoretic probabilistic logic, and default reasoning in system P. J. Appl. Non-Classical Logics 12 2 (2002) 189-213
4. Blume L., Brandenburger A., and Dekel E. Lexicographic probabilities and choice under uncertainty. Econometrica 58 1 (1991) 61-79
5. Blume L., Brandenburger A., and Dekel E. Lexicographic probabilities and equilibrium refinements. Econometrica 58 1 (1991) 81-98
6. Crisma L., Gigante P., and Millossovich P. A notion of coherent prevision for arbitrary random quantities. J. Ital. Statist. Soc. 3 (1997) 233-243
7. B. de Finetti, Sull'impostazione assiomatica del calcolo delle probabilità, Annali triestini dell'Università di Trieste XIX 2, 1949, pp. 29-81.
8. de Finetti B. Probability, Induction and Statistics (1972), Wiley, New York
9. de Finetti B. Theory of Probability (1974), Wiley, London
10. Dubins L.E. Finitely additive conditional probability, conglomerability and disintegrations. Ann. Statist. 3 1 (1975) 89-99
11. Holzer S. On coherence and conditional prevision. Boll. Un. Mat. Ital. Serie VI 1 (1985) 441-460
12. Keynes J.M. A Treatise on Probability (1921), Macmillan and Co., London
13. Kraus S., Lehmann D., and Magidor M. Nonmonotonic reasoning, preferential models and cumulative logics. Artif. Int. 14 1 (1990) 167-207
14. Lad F. Operational Subjective Statistical Methods (1996), Wiley, London
15. Myerson R. Game Theory: Analysis of Conflict (1991), Harvard University Press, Cambridge, MA
16. Pelessoni R., and Vicig P. Uncertainty modelling and conditioning with convex imprecise previsions. Int. J. Approx. Reason. 39 (2005) 297-319
17. R. Pelessoni, P. Vicig, Envelope theorems and dilation with convex conditional previsions, in: F.G. Cozman, R. Nau, T. Seidenfeld (Ed.), Proceedings of ISIPTA '05, 2005, pp. 266-275.
18. Regazzini E. Finitely additive conditional probability. Rend. Sem. Mat. Fis. 55 (1985) 69-89
19. Troffaes M.C.M. Conditional lower previsions for unbounded random quantities. In: Lawry J., Miranda E., Bugarin A., Li S., Gil M.A., Grzegorzewski P., and Hryniewicz O. (Eds). Soft Methods in Probability for Integrated Uncertainty Modelling, Advances in Soft Computing (2006), Springer 201-209
20. Vicig P. Epistemic independence for imprecise probabilities. Int. J. Approx. Reason. 24 (2000) 235-250
21. Walley P. Statistical Reasoning with Imprecise Probabilities (1991), Chapman and Hall, London
22. P.M. Williams, Notes on Conditional Previsions. Research Report, School of Mathematics and Physical Science, University of Sussex, 1975 (A revised version is published in this issue).