Configurations of locally strong coherence in the presence of conditional exchangeability (the case of cardinality k ≤ 3)

4th International Symposium on Imprecise Probabilities and Their Applications, ISIPTA 2005

Volumn , Issue , 2005, Pages

  Capotorti, Andrea ^a  

^a UNIVERSITY OF PERUGIA   (Italy)

Author keywords

Conditional exchangeability; Locally strong coherence; Lower upper conditional assessments

Indexed keywords

CARDINALITIES; CONDITIONAL EXCHANGEABILITY; CONDITIONAL PROBABILITIES; INFERENCE MODELS; LOWER-UPPER CONDITIONAL ASSESSMENTS; NUMERICAL CONDITION; STRUCTURAL CONSTRAINTS;

PROBABILITY;

EID: 85069702749     PISSN: None     EISSN: None     Source Type: Conference Proceeding    
DOI: None     Document Type: Conference Paper

References (26)

1. V. Biazzo, A. Gilio. On the linear structure of betting criterion and the checking of coherence. Annals of Mathematics and Artificial Intelligence, 35(1-4): 83–106, 2002.
2. V. Biazzo, A. Gilio, T. Lukasiewicz, G. Sanfilippo. Probabilistic logic under coherence: complexity and alghorithms. Proc. of The Second International Symposium on Imprecise Probabilities and their Applications (ISIPTA’01), June 26-29, Ithaca, USA, 51–61, 2001.
3. V. Biazzo, A. Gilio, G. Sanfilippo. Coherence checking and propagation of lower probability bounds. Soft Computing, 7: 310–320, 2003.
4. V. Biazzo, A. Gilio, G. Sanfilippo. Some results on generalized coherence of conditional probability bounds. Proc. of The Third International Symposium on Imprecise Probabilities and their Applications (ISIPTA’03) Lugano, Switzerland, 62–76, 2003.
5. A. Capotorti. Benefits of embedding structural constraints in coherent diagnostic processes, International Journal of Approximate Reasoning, article in press, 2004.
6. A. Capotorti, S. Fagundes Leite. Reliability of GIST diagnosis based on partial information. in Applied Bayesian Statistical Studies In Biology And Medicine, (M. Di Bacco, G. D’Amore, F. Scalfari editors), Kluwer Academic Publishers, Boston/Dordrecht/London, 2003.
7. A. Capotorti, F. Lad. Reassessing accuracy rates from median decision procedures. Submitted to The American Statistician.
8. A. Capotorti, B. Vantaggi. An Algorithm for Coherent Conditional Probability Assessment. In Abstracts SIMAI’98, 1-5 June, Giardini Naxos (ME), Italy, 2:144–148, 1998.
9. A. Capotorti, B. Vantaggi. Locally strong coherence in an inference process. Annals of Mathematics and Artificial Intelligence, 35(1-4):125–149, 2002.
10. A. Capotorti, L. Galli and B. Vantaggi. How to use locally strong coherence in an inferential process based on upper-lower probabilities. Soft Computing, 7(5):280–87, 2003.
11. A. Capotorti, S. Gardi. Conditional Exchangeability and Locally Strong Coherence. Proc. of 6th workshop on Uncertainty Processing in Expert Systems WUPES’03, Hejnice, Czech Republic 13–24, 2003.
12. G. Coletti. Coherent Numerical and Ordinal Probabilistic Assessments.IEEE Trans. on Systems, Man, and Cybernetics, 24(12):1747–1754, 1994.
13. G. Coletti, R. Scozzafava. Exploiting zero probabilities. Proc. of EUFIT’97, Aachen, ELITE Foundation, 1499–1503, 1997.
14. G. Coletti and R. Scozzafava. Conditional measures: old and new. In New trends in Fuzzy Systems, World Scientific 107-120, 1998.
15. G. Coletti and R. Scozzafava. The role of coherence in eliciting and handling imprecise probability and its application to medical diagnosis. Information Sciences, 130:41–65, 2000.
16. G. Coletti, R. Scozzafava. Probabilistic Logic in a Coherent Setting,Dordrecht: Kluwer, Series “Trends in Logic”, 2002.
17. B. de Finetti. Sull’impostazione assiomatica del calcolo delle probabilitá. Annali Univ. di Trieste, 19:29–81, 1949. (English translation in: Probability, Induction, Statistics. Ch. 5. London Wiley, 1972).
18. L.E. Dubins. Finitely additive conditional probabilities, conglomerability and disintegration. Annals of Probability,3:89–99, 1975.
19. P. Hansen, B. Jaumard, M.P. de Aragao, F. Chauny, S. Perron. Probabilistic satisfiability with imprecise probabilities. International Journal of Approximate Reasoning, 24(2-3): 171–189, 2000.
20. S. Holzer. On coherence and conditional prevision. Bull. Unione Matematica Italiana, Analisi funzionale e applicazioni, 6(4):441–460, 1985.
21. F. Lad. Operational Subjective Statistical Methods: a mathematical, philosophical, and historical introduction, New York: John Wiley, 1996.
22. F. Lad, M. Di Bacco. Assessing the value of a second opinion: the role and structure of exchangeability. Annals of Mathematics and Artificial Intelligence, 35:227–252, 2002.
23. F. Lad, R. Scozzafava. Distributions agreeing with exchangeable sequential forecasting The American Statistician, 55:131–139, 2001.
24. E. Regazzini. Finitely additive conditional probabilities. Rend. Sem. Mat. Fis. Milano, 55:69–89, 1985.
25. P. Walley. Statistical reasoning with Imprecise Probabilities, Chapman and Hall, London, 1991.
26. P. Walley, R. Pelessoni and P. Vicig. Direct Algorithms for Checking Coherence and Making Inferences from Conditional Probability Assessments, Journal of Statistical Planning and Inference, 126(1):119–151, 2004.