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Title: Information, $\varepsilon$-sufficiency and data reduction problems (English)
Title: Informace, $\varepsilon$-suficientnost a problémy redukce dat (Czech)
Author: Perez, Albert
Language: English
Journal: Kybernetika
ISSN: 0023-5954
Volume: 1
Issue: 4
Year: 1965
Pages: (297)-323
Summary lang: Czech
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Category: math
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MSC: 62.05
MSC: 62.50
idZBL: Zbl 0156.40603
idMR: MR0205410
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Date available: 2009-09-24T15:35:46Z
Last updated: 2012-06-04
Stable URL: http://hdl.handle.net/10338.dmlcz/125715
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Reference: [1] Perez A.: Sur la théorie de l'information et la discernabilité dans les problèmes de décision statistique.In: Transactions of the Second Prague Conference on Information Theory, Statistical Decision Functions, Random Processes (1959). Prague 1960, 413-497.
Reference: [2] Perez A.: Information Theory in Data Reduction Problems.Paper presented at the Third Prague Conference on Information Theory, Statistical Decision Functions, Random Processes, 1962.
Reference: [3] Perez A.: Theory of Information and Cybernetics, Part II.(in Czech). In: Kybernetika a její využití - Transactions of the First Conference on Cybernetics in Czechoslovakia (1962). Prague 1965.
Reference: [4] Perez A., Tondl L.: On the Role of Information Theory in Certain Scientific Procedures.In: Information and Prediction (Dockx and Bernays, Brussels 1962), Academic Press, New York 1965.
Reference: [5] Perez A.: Contributions de la théorie de l'information en cybernétique.Paper presented at the IVth International Congress of Cybernetics, Namur 1964. To appear in the Transactions of the Congress.
Reference: [6] Perez A.: Extensions of Shannon-McMillan's Limit Theorem to more general Stochastic Processes.In: Transactions of the Third Prague Conference on Information Theory, Statistical Decision Functions, Random Processes (1962). Prague 1964, 545-574. MR 0165996
Reference: [7] Wald A.: Statistical Decision Functions.New York 1950. Zbl 0040.36402, MR 0036976
Reference: [8] Blackwell D., Girschick M. A.: Theory of Games and Statistical Decisions.New York 1955.
Reference: [9] Perez A.: Notions généralisées d'incertitude, d'entropie et d'information du point de vue de la théorie des martingales.In: Transactions of the First Prague Conference on Information Theory, Statistical Decision Functions, Random Processes (1956). Prague 1957, 183-208. MR 0099889
Reference: [10] Pinsker M. S.: Information and Information Stability of Random Variables and Processes.Moscow 1960. MR 0191718
Reference: [11] Perez A.: Transformation ou $/sigma$-algèbre suffisante at minimum de la probabilité d'erreur.Czechosl. Mathem. Journ., Vol. 7 (1957), 115-123. MR 0090909
Reference: [12] Csiszár I.: Eine informationstheoretische Ungleichung and ihre Anwendung auf den Beweis der Ergodizität von Markoffschen Ketten.Publications of the Mathematical Institute of the Hungarian Academy of Sciences, Vol. VIII, Series A, Fasc. 1-2 (1963), 85-108. MR 0164374
Reference: [13] Hájek J.: A property of J-divergences of marginal probability distributions.Czechosl. Mathem. Journ., Vol. 8 (1958), 460-463. MR 0099712
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