On the concept of the asymptotic Rényi distances for random fields

Martin Janžura

Kybernetika (1999)

  • Volume: 35, Issue: 3, page [353]-366
  • ISSN: 0023-5954

Abstract

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The asymptotic Rényi distances are explicitly defined and rigorously studied for a convenient class of Gibbs random fields, which are introduced as a natural infinite-dimensional generalization of exponential distributions.

How to cite

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Janžura, Martin. "On the concept of the asymptotic Rényi distances for random fields." Kybernetika 35.3 (1999): [353]-366. <http://eudml.org/doc/33432>.

@article{Janžura1999,
abstract = {The asymptotic Rényi distances are explicitly defined and rigorously studied for a convenient class of Gibbs random fields, which are introduced as a natural infinite-dimensional generalization of exponential distributions.},
author = {Janžura, Martin},
journal = {Kybernetika},
language = {eng},
number = {3},
pages = {[353]-366},
publisher = {Institute of Information Theory and Automation AS CR},
title = {On the concept of the asymptotic Rényi distances for random fields},
url = {http://eudml.org/doc/33432},
volume = {35},
year = {1999},
}

TY - JOUR
AU - Janžura, Martin
TI - On the concept of the asymptotic Rényi distances for random fields
JO - Kybernetika
PY - 1999
PB - Institute of Information Theory and Automation AS CR
VL - 35
IS - 3
SP - [353]
EP - 366
AB - The asymptotic Rényi distances are explicitly defined and rigorously studied for a convenient class of Gibbs random fields, which are introduced as a natural infinite-dimensional generalization of exponential distributions.
LA - eng
UR - http://eudml.org/doc/33432
ER -

References

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  1. Csiszár I., Information–type measures of difference of probability distributions and indirect observations, Stud. Sci. Math. Hungar. 2 (1967), 299–318 (1967) Zbl0157.25802MR0219345
  2. Georgii H. O., Gibbs Measures and Place Transitions, de Gruyter, Berlin 1988 MR0956646
  3. Liese F., Vajda I., Convex Statistical Problems, Teubner, Leipzig 1987 MR0926905
  4. Perez A., Risk estimates in terms of generalized f –entropies, In: Proc. Colloq. Inform. Theory (A. Rényi, ed.), Budapest 1968 MR0263542
  5. Rényi A., On measure of entropy and information, In: Proc. 4th Berkeley Symp. Math. Statist. Probab., Univ. of Calif. Press, Berkeley 1961, Vol. 1, pp. 547–561 (1961) MR0132570
  6. Vajda I., 10.1007/BF02018663, Period. Math. Hungar. 2 (1972), 223–234 (1972) Zbl0248.62001MR0335163DOI10.1007/BF02018663
  7. Vajda I., The Theory of Statistical Inference and Information, Kluwer, Dordrecht – Boston – London 1989 

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