Minimum entropy of error estimate for multi-dimensional parameter and finite-state-space observations

Antonín Otáhal

Kybernetika (1995)

  • Volume: 31, Issue: 4, page 331-335
  • ISSN: 0023-5954

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Otáhal, Antonín. "Minimum entropy of error estimate for multi-dimensional parameter and finite-state-space observations." Kybernetika 31.4 (1995): 331-335. <http://eudml.org/doc/27838>.

@article{Otáhal1995,
author = {Otáhal, Antonín},
journal = {Kybernetika},
keywords = {minimum entropy of error estimate; finite mixture of probability densities; finite-dimensional Euclidean space; conditional expectation; counter-example; symmetric non-isotropic densities},
language = {eng},
number = {4},
pages = {331-335},
publisher = {Institute of Information Theory and Automation AS CR},
title = {Minimum entropy of error estimate for multi-dimensional parameter and finite-state-space observations},
url = {http://eudml.org/doc/27838},
volume = {31},
year = {1995},
}

TY - JOUR
AU - Otáhal, Antonín
TI - Minimum entropy of error estimate for multi-dimensional parameter and finite-state-space observations
JO - Kybernetika
PY - 1995
PB - Institute of Information Theory and Automation AS CR
VL - 31
IS - 4
SP - 331
EP - 335
LA - eng
KW - minimum entropy of error estimate; finite mixture of probability densities; finite-dimensional Euclidean space; conditional expectation; counter-example; symmetric non-isotropic densities
UR - http://eudml.org/doc/27838
ER -

References

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  1. S. Ikeda, Continuity and characterization of Shannon-Wiener information measure for continuous probability distributions, Ann. Inst. Statist. Math. 11 (1959), 131-144. (1959) Zbl0125.09301MR0114682
  2. M. Janžura T. Koski, A. Otáhal, Minimum entropy of error principle in estimation, Inform. Sci., to appear. 
  3. M. Janžura T. Koski, A. Otáhal, Minimum entropy of error principle in estimation: a short survey, In: Proceedings of 6th Joint Swedish-Russian Internat. Workshop on Inform. Theory, Moelle 1993, pp. 429-431. (1993) 
  4. A. Otáhal, Finiteness and Continuity of Differential Entropy. Asymptotic Statistics, In: Procee lings of 5th Prague Symposium on Asymptotic Statistics (P. Mandl and M. Huskova, eds.), Physica-Verlag, Heidelberg 1993, pp. 415-419. (1993) MR1311960
  5. I. Vajda, Theory of Statistical Inference and Information, Kluwer, Dodrecht-Boston-London 1989. (1989) Zbl0711.62002
  6. H. L. Weidemann, E. B. Stear, Entropy analysis of parameter estimation, Inform, and Control 14 (1969), 493-506. (1969) Zbl0212.23301MR0246699
  7. H. L. Weidemann, E. B. Stear, Entropy analysis of estimation systems, IEEE Trans. Inform. Theory 16 (1970), 264-270. (1970) MR0272531

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