Measures of information associated with Csiszár's divergences

Miquel Salicrú

Kybernetika (1994)

  • Volume: 30, Issue: 5, page 563-573
  • ISSN: 0023-5954

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Salicrú, Miquel. "Measures of information associated with Csiszár's divergences." Kybernetika 30.5 (1994): 563-573. <http://eudml.org/doc/28294>.

@article{Salicrú1994,
author = {Salicrú, Miquel},
journal = {Kybernetika},
keywords = {divergences measures; Fisher's information; information measures},
language = {eng},
number = {5},
pages = {563-573},
publisher = {Institute of Information Theory and Automation AS CR},
title = {Measures of information associated with Csiszár's divergences},
url = {http://eudml.org/doc/28294},
volume = {30},
year = {1994},
}

TY - JOUR
AU - Salicrú, Miquel
TI - Measures of information associated with Csiszár's divergences
JO - Kybernetika
PY - 1994
PB - Institute of Information Theory and Automation AS CR
VL - 30
IS - 5
SP - 563
EP - 573
LA - eng
KW - divergences measures; Fisher's information; information measures
UR - http://eudml.org/doc/28294
ER -

References

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  1. J. Aggarwal, Sur l'information de Fisher, In: Théories de l'Information (J. Kampé de Fériet, ed.), Springer-Verlag, Berlin--New York 1974, pp. 111-117. (1974) Zbl0299.94016MR0347450
  2. S. Amari, Differential-Geometric Methods in Statistics, (Lecture Notes in Statistics 28.) Springer-Verlag, Berlin--New York 1985. (1985) MR0788689
  3. D. E. Boekee, The D f information of order s , In: Trans, of the Eighth Prague Conference, Academia, Prague 1978, Vol. C, pp. 55-66. (1978) MR0557706
  4. J. Burbea, Informative geometry in probability spaces, Exposition. Math. 4 (1986), 345-365. (1986) MR0867963
  5. J. Burbea, C. R. Rao, Entropy differential metric, distance and divergence measures in probability spaces: a unified approach, J. Multivariate Anal. 12 (1982), 575-596. (1982) Zbl0526.60015MR0680530
  6. K. Ferentinos, T. Papaioannou, New parametric measures of information, Inform. and Control 51 (1981), 193-208. (1981) Zbl0524.62005MR0686839
  7. C. Fourgeaud, A. Fuchs, Statistique, Dunod, Paris 1972. (1972) Zbl0234.62001MR0258161
  8. A. M. Kagan, On the theory of Fisher's amount of information, Soviet Math. Dokl. 4 (1963), 991-993. (1963) Zbl0138.14902
  9. C. R. Rao, Differential metrics in probability spaces, In: Differential Geometry in Statistical Inference (Shanti S. Gupta, series ed.), 1987, pp. 217-240. (1987) 
  10. C. R. Rao, Linear Statistical Inference and its Applications, Wiley, New York 1973. (1973) Zbl0256.62002MR0346957
  11. M. Salicrú, Medidas de divergencia en an lisis de datos (Tesis doctoral.), Univ. Barcelona 1987. (1987) 
  12. M. Salicrú, Matrices Riemanianas asociadas a M-divergencias, In: XVII Congreso SEIO, 1988, pp. 51-54. (1988) 
  13. M. Salicrú, Matrices informativas asociadas a medidas de Csiszár, In: XVIII Congreso SEIO, 1989, pp. 462-467. (1989) 
  14. M. Salicrú, P. Sanchez, Matrices informativas asociadas a J-divergencias, In: II Conferencia española de Biometria, 1989, pp. 249-251. (1989) 
  15. I. Vajda, χ 2 -divergence and generalized Fisher’s information, In: Trans. of the Sixth Prague Conference, Academia, Prague 1971, pp. 873-886. (1971) MR0356302

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