@article{KYB_1993_29_2_a4,
author = {Pittarelli, Michael},
title = {Probabilistic databases and decision problems: {Results} and a conjecture},
journal = {Kybernetika},
pages = {149--165},
year = {1993},
volume = {29},
number = {2},
mrnumber = {1227749},
zbl = {0799.68068},
language = {en},
url = {http://geodesic.mathdoc.fr/item/KYB_1993_29_2_a4/}
}
Pittarelli, Michael. Probabilistic databases and decision problems: Results and a conjecture. Kybernetika, Tome 29 (1993) no. 2, pp. 149-165. http://geodesic.mathdoc.fr/item/KYB_1993_29_2_a4/
[1] J. Aczel, Z. Daroczy: On Measures of Information and their Characterizations. Academic Press, New York 1975. | MR | Zbl
[2] D. Barbara H. Garcia-Molina, D. Porter: The management of probabilistic data. IEEE Trans. Knowl. Data Engrg., to appear.
[3] C. Berge: Graphs and Hypergraphs. North Holland, Amsterdam 1973. | MR | Zbl
[4] R. Cavallo: Lattices of structure models and database schemes. Internat. J. Gen. Systems 20 (1992), 247-274. | Zbl
[5] R. Cavallo, G. Klir: Reconstructability analysis of multi-dimensional relations: a theoretical basis for computer-aided determination of acceptable systems models. Internat. J. Gen. Systems 5 (1979), 143-171. | MR | Zbl
[6] R. Cavallo, M. Pittarelli: The theory of probabilistic databases. Proc. 13th Internat. Conf. Very Large Databases, 1987, pp. 71-81.
[7] W. Deming, F. Stephan: On the least squares adjustment of a sampled frequency table when the expected marginal totals are known. Ann. Math. Statist. 11 (1940), 427-444. | MR
[8] W. Domschke, A. Drexl: Location and Layout Planning: an international bibliography. Springer - Verlag, New York 1985. | MR
[9] D. Edwards, T. Havránek: A fast procedure for model search in multidimensional contingency tables. Biometrika 72 (1985), 339-351. | MR
[10] R. Fagin: Degrees of acyclicity for hypergraphs and relational database schemes. J. Assoc. Comput. Mach. 30 (1983), 514-550. | MR | Zbl
[11] P. Gardenfors: Forecasts, decisions and uncertain probabilities. Erkenntnis 14 (1979), 159-181.
[12] L. Hurwicz: Problems of incorrect and incomplete specification. Econometrica 19 (1951), 343-344.
[13] E. T. Jaynes: On the rationale of maximum-entropy methods. Proc. IEEE 70 (1982), 939-952.
[14] E. T. Jaynes: Prior information and ambiguity in inverse problems. SIAM-AMS Proceedings 14 (1984), 151-166. | MR | Zbl
[15] R. C. Jeffrey: The Logic of Decision. Second edition. University of Chicago Press, Chicago 1983. | MR
[16] G. Klir: Architecture of Systems Problem Solving. Plenum Press, New York 1985. | MR | Zbl
[17] K. Krippendorff: Information Theory: structural models for qualitative data. Sage Publications, Beverly Hills 1986. | MR
[18] I. Levi: The Enterprise of Knowledge. MIT Press, Cambridge, Mass. 1980.
[19] P. Lewis: Approximating probability distributions to reduce storage requirements. Inform, and Control 2 (1959), 214-225. | MR | Zbl
[20] R. Loui: Decisions with indeterminate probabilities. Theory and Decision 21 (1986), 283-309. | MR
[21] J. MacQueen, J. Marschak: Partial knowledge, entropy, and estimation. Proc. Nat. Acad. Sci. 72 (1975), 3819-3824. | MR | Zbl
[22] D. Maier: The Theory of Relational Databases. Computer Science Press, Rockville, MD 1983. | MR | Zbl
[23] D. Maier, J. Ullman: Connections in acyclic hypergraphs. Proc. ACM Symp. on Principles of Database Systems, 1982, pp. 34-39.
[24] A. Perez: e-admissible simplifications of the dependence structure of a set of random variables. Kybernetika 13 (1977), 439-449. | MR
[25] A. Perez: The barycenter concept of a set of probability measures as a tool in statistical decision. In: Probability Theory and Mathematical Statistics, vol. 2, VNU Science Press 1986, pp. 437-450. | MR
[26] A. Perez, R. Jiroušek: Constructing an intensional expert system (INES). In: Medical Decision Making: diagnostic strategies and expert systems, North Holland, Amsterdam 1985, pp. 307-315.
[27] F. Piepel: Calculating centroids in constrained mixture experiments. Technometrics 25 (1983), 279-283.
[28] M. Pittarelli: Uncertainty and estimation in reconstructability analysis. Internat. J. Gen. Systems 18 (1989), 1-58. | MR | Zbl
[29] M. Pittarelli: An algebra for probabilistic databases. IEEE Trans. Knowl. Data Engrg. To appear 1993. | MR
[30] K. Raju, A. Majumdar: The study of joins in fuzzy relational databases. Fuzzy Sets and Systems 21 (1987), 19-34. | MR | Zbl
[31] G. Schneller, G. Sphicas: Decision making under uncertainty: Starr's domain criterion. Theory and Decision 15 (1983), 321-336. | MR | Zbl
[32] T. Seidenfeld: Entropy and uncertainty. Philosophy of Science 55 (1986), 467-491. | MR