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\(\varepsilon\)-admissible simplifications of the dependence structure of a set of random variables. (English) Zbl 0382.62003


MSC:

62B10 Statistical aspects of information-theoretic topics

References:

[1] A. Perez: Notions generalisees d’incertitude, d’entropie et d’information du point de vue de la théorie des martingales. Transactions of the First Prague Conference on Information Theory, Statistical Decision Functions, Random Processes (1956), Prague 1957, 183 - 208.
[2] S. Watanabe: Information theoretical analysis of multivariate correlation. IBM J. Res. Develop. 4 (I960), 66-82. · Zbl 0097.35003 · doi:10.1147/rd.41.0066
[3] A. Perez: Information, e-Sufficiency and Data Reduction Problems. Kybernetika 4 (1965), 4, 297-323. · Zbl 0156.40603
[4] A. Perez: Information Theory Methods in Reducing Complex Decision Problems. Transactions of the Fourth Prague Conference on Information Theory, Statistical Decision Functions, Random Processes (1965), Prague 1967, 55-87.
[5] A. Perez: Information-Theoretic Risk Estimates in Statistical Decision. Kybernetika 3 (1967), 1, 1-21. · Zbl 0153.48403
[6] A. Perez: Risk estimates in terms of generalized f-entropies. Proceedings of the Colloquium on Information Theory, Debrecen (Hungary), 1967, 299-315.
[7] O. Kříž: A program on optimal coalition structure search. Institute of Information Theory and Automation, 1977, Prague.
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