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Conditional independence and its representations
Kybernetika, Tome 25 (1989), pp. 33-44
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Pearl, Judea; Geiger, Dan; Verma, Thomas. Conditional independence and its representations. Kybernetika, Tome 25 (1989), pp. 33-44. http://geodesic.mathdoc.fr/item/KYB_1989_25_Suppl_a5/

[1] C. Beeri: On the membership problem for functional and multivalued dependencies in relational database. ACM Trans. Database Systems 5 (1980), 3, 241-249.

[2] C. Beeri R. Fagin, R. A. Howard: A complete axiomatization of functional dependencies and multi-valued dependencies in database relations. In: Proceedings, 1977 ACM SIGMOD Internat. Conference on Management of Data, Toronto, Canada 1977, pp. 47-61.

[3] H. Cramer: Mathematical Methods of Statistics. Princeton Univ. Press, Princeton, N. J. 1946. | MR | Zbl

[4] A. P. Dawid: Conditional independence in statistical theory. J. Roy. Statist. Soc. Ser. B 41 (1979), 1,1-31. | MR | Zbl

[5] R. Fagin: Multivalued dependencies and a new form for relational databases. ACM Trans. Database Systems 2 (1977), 3, 262-278.

[6] W. Feller: An Introduction to Probability Theory and Its Applications (Chapter XV). John Wiley and Sons, New York 1968. | MR

[7] D. Geiger: Towards the Formalization of Informational Dependencies. Technical Report R-102, UCLA Cognitive Systems Laboratory, December 1987.

[8] D. Geiger A. Paz, J. Pearl: Axioms and Algorithms for Inferences Involving Probabilistic Independence. Technical Report R-119, January 1989.

[9] D. Geiger, J. Pearl: On the logic of causal models. In: Proc. of the 4th Workshop on Uncertainty in AI, St. Paul, Minn., August 1988, pp. 136-147.

[10] D. Geiger, J. Pearl: Logical and Algorithmic Properties of Conditional Independence. Technical Report 870066 (R-97), UCLA Cognitive Systems Laboratory, February 1988. In: Proc. of Workshop on Statistics and AI, Ft. Lauderdale, Fl., January 1989, 19-1 -- 19-10.

[11] D. Geiger T. Verma, J. Pearl: Identifying Independence in Bayesian Networks. Technical Report R-116, UCLA Cognitive Systems Laboratory.

[12] R. A. Howard, J. E. Matheson: Influence Diagrams. In: Principles and Applications of Decision Analysis, Strategic Decisions Group, Menlo Park, CA 1981.

[13] V. Isham: An introduction to spatial point processes and Markov random fields. International. Statist. Rev. 49 (1981), 21-43. | MR | Zbl

[14] S. L. Lauritzen: Lectures on Contingency Tables. University of Aalborg Press, Aalborg, Denmark 1982.

[15] J. S. Meditch: Stochastic Optimal Linear Estimation and Control. McGraw-Hill, New York 1969. | Zbl

[16] S. M. Olmsted: On Representing and Solving Decision Problems. Ph. D. Thesis, EES Dept., Stanford University, Stanford, CA 1983.

[17] J. Pearl: Probabilistic Reasoning in Intelligent Systems: Networks of Plausible Inference. Morgan Kaufmann, San Mateo, CA 1988. | MR

[18] J. Pearl D. Geiger, T. Verma: The logic of influence diagrams. In: Proceedings of the Conference on Influence Diagrams, Berkeley, CA, May 1988.

[19] J. Pearl, A. Paz: GRAPHOIDS: a Graph-based Logic for Reasoning about Relevance Relations. Technical Report 850038 (R-52), UCLA Computer Science Department, October 1985; also Proceedings, ECAI-86, Brighton, U. K. June 1986.

[20] J. Pearl, T. Verma: The logic of representing dependencies by directed acyclic graphs. In: Proceedings AAA-I, Seattle, Washington, July 1987, pp. 374-379.

[21] R. D. Shachter: Evaluating influence diagrams. Oper. Res. 34 (1986), 6, 871-882. | MR

[22] R. D. Shachter: Probabilistic inference and influence diagrams. Oper. Res. 36 (1988), 4, 589-604. | Zbl

[23] G. Shafer P. P. Shenoy, K. Mellouli: Propagating belief functions in qualitative Markov trees. Internat. J. of Approximate Reasoning 1 (1988), 4, 349-400. | MR

[24] J. Q. Smith: Influence Diagrams for Statistical Modeling. Technical Report No. 117, Department of Statistics, University of Warwick, Coventry, England, June 1987.

[25] M. Studený: Attempts at axiomatic description of conditional independence. In: Proceedings of the Workshop on Uncertainty Processing in Expert Systems. Kybernetika 25 (1989), Supplement to No. 1-3, pp. 65-72. | MR

[26] T. S. Verma: Causal Networks: Semantics and Expressiveness. Technical Report R-65, UCLA Cognitive Systems Laboratory, 1986; also in Proceedings of the 4th Workshop on Uncertainty in AI, St. Paul, Minn., August 1988, pp. 352-359.

[27] T. S. Verma: Some Mathematical Properties of Dependency Models. Technical Report R-103, UCLA Cognitive Systems Laboratory, 1987.

[28] T. S. Verma: On the Membership Problem in Semi-Graphoids. Technical Report R-115, UCLA Cognitive Systems Laboratory, 1988.

[29] T. Verma, J. Pearl: Causal networks: semantics and expressiveness. In: Proceedings of the 4th Workshop on Uncertainty in AI, St. Paul, Min. August 1988, pp. 352-359.