Information, ε -sufficiency and data reduction problems

Albert Pérez

Kybernetika (1965)

  • Volume: 01, Issue: 4, page (297)-323
  • ISSN: 0023-5954

How to cite

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Pérez, Albert. "Information, $\varepsilon $-sufficiency and data reduction problems." Kybernetika 01.4 (1965): (297)-323. <http://eudml.org/doc/28869>.

@article{Pérez1965,
author = {Pérez, Albert},
journal = {Kybernetika},
keywords = {information, communication},
language = {eng},
number = {4},
pages = {(297)-323},
publisher = {Institute of Information Theory and Automation AS CR},
title = {Information, $\varepsilon $-sufficiency and data reduction problems},
url = {http://eudml.org/doc/28869},
volume = {01},
year = {1965},
}

TY - JOUR
AU - Pérez, Albert
TI - Information, $\varepsilon $-sufficiency and data reduction problems
JO - Kybernetika
PY - 1965
PB - Institute of Information Theory and Automation AS CR
VL - 01
IS - 4
SP - (297)
EP - 323
LA - eng
KW - information, communication
UR - http://eudml.org/doc/28869
ER -

References

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  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. (1959) 
  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. (1962) 
  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. (1962) 
  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. (1962) 
  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. (1964) 
  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. (1962) MR0165996
  7. Wald A., Statistical Decision Functions, New York 1950. (1950) Zbl0040.36402MR0036976
  8. Blackwell D., Girschick M. A., Theory of Games and Statistical Decisions, New York 1955. (1955) 
  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. (1956) MR0099889
  10. Pinsker M. S., Information and Information Stability of Random Variables and Processes, Moscow 1960. (1960) MR0191718
  11. Perez A., Transformation ou / s i g m a -algèbre suffisante at minimum de la probabilité d’erreur, Czechosl. Mathem. Journ., Vol. 7 (1957), 115-123. (1957) MR0090909
  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. (1963) MR0164374
  13. Hájek J., A property of J-divergences of marginal probability distributions, Czechosl. Mathem. Journ., Vol. 8 (1958), 460-463. (1958) MR0099712

Citations in EuDML Documents

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  1. Albert Pérez, Information-theoretic risk estimates in statistical decision
  2. Igor Vajda, The synchronization problem of information theory
  3. Jan T. Białasiewicz, Statistical data reduction via construction of sample space partitions
  4. Albert Pérez, Information-theoretic approach to measurement reduction problems
  5. Albert Pérez, ε -admissible simplifications of the dependence structure of a set of random variables
  6. Miroslav Kárný, Katalin M. Hangos, One-sided approximation of Bayes rule and its application to regression model with Cauchy noise
  7. Igor Vajda, On the statistical decision problems with discrete parameter space
  8. Igor Vajda, On the statistical decision problems with finite parameter space
  9. Radim Jiroušek, A short note on Perez’s approximation by dependence structure simplification
  10. Jiří Grim, Neuromorphic features of probabilistic neural networks

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