Paraconsistent sensitivity analysis for bayesian significance tests

Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)

Volumn 3171, Issue , 2004, Pages 134-143

  Stern, Julio Michael ^a  

^a UNIVERSITY OF SÃO PAULO   (Brazil)

Author keywords

Hybrid probability possibility analysis; Hypothesis test; Paraconsistent logic; Uncertainty representation

Indexed keywords

ARTIFICIAL INTELLIGENCE; COMPUTATION THEORY; FORMAL LOGIC; SENSITIVITY ANALYSIS; UNCERTAINTY ANALYSIS;

BAYESIAN PROBABILITIES; FULL BAYESIAN SIGNIFICANCE TESTS; HYBRID PROBABILITY/POSSIBILITY ANALYSIS; HYPOTHESIS TESTS; PARACONSISTENT LOGIC; POSSIBILISTIC APPROACH; SENSITIVITY EVALUATION; UNCERTAINTY REPRESENTATION;

STATISTICAL TESTS;

EID: 33751227953     PISSN: 03029743     EISSN: 16113349     Source Type: Book Series    
DOI: 10.1007/978-3-540-28645-5_14     Document Type: Article

References (31)

1. Abe,J.M. Avila,B.C. Prado,J.P.A. (1998). Multi-Agents and Inconsistence. ICCIMA'98. 2nd International Conference on Computational Intelligence and Multimidia Applications. Traralgon, Australia.
2. Alcantara,J. Damasio,C.V. Pereira,L.M. (2002). Paraconsistent Logic Programs. JELIA-02. 8th European Conference on Logics in Artificial Intelligence. Lecture Notes in Computer Science, 2424, 345-356.
3. Arieli,O. Avron,A. (1996). Reasoning with Logical Bilattices. Journal of Logic, Language and Information, 5, 25-63.
4. Arnold,B.C. Balakrishnan,N. Nagaraja,H.N. (1992). A First Course in Order Statistics. NY: Wiley.
5. C.M.Barros, N.C.A.Costa, J.M.Abe (1995). Tópicos de Teoria dos Sistemas Ordenados. Lógica e Teoria da Ciência, 17,18,19. IEA, Univ. São Paulo.
6. N.D.Belnap (1977). A useful four-valued logic, pp 8-37 in G.Epstein, J.Dumm. Modern uses of Multiple Valued Logics. Dordrecht: Reidel.
7. Boothby,W. (2002). An Introduction to Differential Manifolds and Riemannian Geometry. Academic Press, NY.
8. N.C.A.Costa, V.S.Subrahmanian (1989). Paraconsistent Logics as a Formalism for Reasoning about Inconsistent Knowledge Bases. Artificial Inteligence in Medicine, 1, 167-174.
9. Costa, N.C.A. Abe,J.M. Subrahmanian,V.S. (1991). Remarks on Annotated Logic. Zeitschrift für Mathematische Logik und Grundlagen der Mathematik, 37, 561-570.
10. Darwiche,A.Y. Ginsberg,M.L. (1992). A Symbolic Generalization of Probability Theory. AAAI-92. 10th Natnl. Conf. on Artificial Intelligence. San Jose, USA.
11. Dugdale,J.S. (1996). Entropy and its Physical Meaning. Taylor-Francis,London.
12. Epstein,G. (1993). Multiple-Valued Logic Design. Inst.of Physics, Bristol.
13. M.Evans (1997). Bayesian Inference Procedures Derived via the Concept of Relative Surprise. Communications in Statistics, 26, 1125-1143.
14. M. Fitting (1988). Logic Programming on a Topological Bilattice. Fundamentae Informaticae, 11, 209-218.
15. Fitting,M. (1989). Bilattices and Theory of Truth. J. Phil. Logic, 18, 225-256.
16. M.H.DeGroot (1970). Optimal Statistical Decisions. NY: McGraw-Hill.
17. Ginsberg,M.L. (1988). Multivalued Logics. Computat. Intelligence, 4, 265-316.
18. Gokhale,D.V. (1999). On Joint Conditional Enptropies. Entropy Journal,1,21-24.
19. Good,I.J. (1983). Good Thinking. Univ. of Minnesota.
20. Good,I.J. (1989). Surprise indices and p-values. J. Statistical Computation and Simulation, 32, 90-92.
21. Kapur,J.N.(1989). Maximum Entropy Models in Science Engineering. Wiley, NY.
22. Lauretto,M. Pereira,C.A.B. Stern,J.M. Zacks,S. (2004). Comparing Parameters of Two Bivariate Normal Distributions Using the Invariant FBST. To appear, Brazilian Journal of Probability and Statistics.
23. Madruga,M.R. Esteves,L.G. Wechsler,S. (2001). On the Bayesianity of Pereira-Stern Tests. Test, 10, 291-299.
24. Madruga,M.R. Pereira,C.A.B. Stern,J.M. (2003). Bayesian Evidence Test for Precise Hypotheses. Journal of Statistical Planning and Inference, 117,185-198.
25. Pereira,C.A.B. Stern,J.M. (1999). Evidence and Credibility: Full Bayesian Significance Test for Precise Hypotheses. Entropy Journal, 1, 69-80.
26. Pereira,C.A.B. Stern,J.M. (2001). Model Selection: Full Bayesian Approach. Environmetrics, 12, 559-568.
27. Perny,P. Tsoukias,A. (1998). On the Continuous Extension of a Four Valued Logic for Preference Modelling. IPMU-98. 7th Conf. on Information Processing and Management of Uncertainty in Knowledge Based Systems. Paris, France.
28. Stern,J.M. Zacks,S. (2002). Testing the Independence of Poisson Variates under the Holgate Bivariate Distribution, The Power of a new Evidence Test. Statistical and Probability Letters, 60, 313-320.
29. Stern,J.M. (2003). Significance Tests, Belief Calculi, and Burden of Proof in Legal and Scientific Discourse. Laptec-2003, 4th Cong. Logic Applied to Technology. Frontiers in Artificial Intelligence and its Applications, 101, 139-147.
30. Zadeh,L.A. (1987). Fuzzy Sets and Applications. Wiley, NY.
31. Zellner,A. (1971). Introduction to Bayesian Inference in Econometrics. NY:Wiley.