Asymptotic Rényi distances for random fields: properties and applications

Martin Janžura

Kybernetika (1999)

  • Volume: 35, Issue: 4, page [507]-525
  • ISSN: 0023-5954

Abstract

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The approach introduced in Janžura [Janzura 1997] is further developed and the asymptotic Rényi distances are studied mostly from the point of their monotonicity properties. The results are applied to the problems of statistical inference.

How to cite

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Janžura, Martin. "Asymptotic Rényi distances for random fields: properties and applications." Kybernetika 35.4 (1999): [507]-525. <http://eudml.org/doc/33444>.

@article{Janžura1999,
abstract = {The approach introduced in Janžura [Janzura 1997] is further developed and the asymptotic Rényi distances are studied mostly from the point of their monotonicity properties. The results are applied to the problems of statistical inference.},
author = {Janžura, Martin},
journal = {Kybernetika},
keywords = {statistical inference},
language = {eng},
number = {4},
pages = {[507]-525},
publisher = {Institute of Information Theory and Automation AS CR},
title = {Asymptotic Rényi distances for random fields: properties and applications},
url = {http://eudml.org/doc/33444},
volume = {35},
year = {1999},
}

TY - JOUR
AU - Janžura, Martin
TI - Asymptotic Rényi distances for random fields: properties and applications
JO - Kybernetika
PY - 1999
PB - Institute of Information Theory and Automation AS CR
VL - 35
IS - 4
SP - [507]
EP - 525
AB - The approach introduced in Janžura [Janzura 1997] is further developed and the asymptotic Rényi distances are studied mostly from the point of their monotonicity properties. The results are applied to the problems of statistical inference.
LA - eng
KW - statistical inference
UR - http://eudml.org/doc/33444
ER -

References

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  5. Janžura M., Asymptotic behaviour of the error probabilities in the pseudo–likelihood ratio test for Gibbs–Markov distributions, In: Asymptotic Statistics (P. Mandl and M. Hušková, eds.), Physica–Verlag 1994, pp. 285–296 (1994) MR1311947
  6. Janžura M., On the concept of asymptotic Rényi distances for random fields, Kybernetika 5 (1999), 3, 353–366 (1999) 
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  9. Rényi A., On measure of entropy and information, In: Proc. 4th Berkeley Symp. Math. Statist. Prob., Univ of Calif. Press, Berkeley 1961, Vol. 1, pp. 547–561 (1961) MR0132570
  10. Vajda I., 10.1007/BF02018663, Period. Math. Hungar. 2 (1972), 223–234 (1972) Zbl0248.62001MR0335163DOI10.1007/BF02018663
  11. Vajda I., The Theory of Statistical Inference and Information, Kluwer, Dordrecht – Boston – London 1989 
  12. Younès L., 10.1007/BF00341287, Probab. Theory Related Fields 82 (1989), 625–645 (1989) MR1002904DOI10.1007/BF00341287

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