Logarithmic information of degree q linked with an extension of Fisher’s information

Bernadette Bouchon; Franquiberto Pessoa

Kybernetika (1985)

  • Volume: 21, Issue: 5, page 346-359
  • ISSN: 0023-5954

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Bouchon, Bernadette, and Pessoa, Franquiberto. "Logarithmic information of degree $q$ linked with an extension of Fisher’s information." Kybernetika 21.5 (1985): 346-359. <http://eudml.org/doc/28147>.

@article{Bouchon1985,
author = {Bouchon, Bernadette, Pessoa, Franquiberto},
journal = {Kybernetika},
keywords = {non-additivity; Fisher information; average Fisher information; logarithmic information; lower bound; moment; extension of Cramer-Rao inequality},
language = {eng},
number = {5},
pages = {346-359},
publisher = {Institute of Information Theory and Automation AS CR},
title = {Logarithmic information of degree $q$ linked with an extension of Fisher’s information},
url = {http://eudml.org/doc/28147},
volume = {21},
year = {1985},
}

TY - JOUR
AU - Bouchon, Bernadette
AU - Pessoa, Franquiberto
TI - Logarithmic information of degree $q$ linked with an extension of Fisher’s information
JO - Kybernetika
PY - 1985
PB - Institute of Information Theory and Automation AS CR
VL - 21
IS - 5
SP - 346
EP - 359
LA - eng
KW - non-additivity; Fisher information; average Fisher information; logarithmic information; lower bound; moment; extension of Cramer-Rao inequality
UR - http://eudml.org/doc/28147
ER -

References

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  1. N. L. Aggarwal, Measures d'information et questionnaires arborescents, Thése, Besancon 1974. (1974) 
  2. D. E. Boekee, Generalized Fisher information with application to estimation problems, In: Information and Systems (Proc. IFAC Workshop, Compiegne, 1977), pp. 75-82. Pergamon Press, Oxford 1978. (1977) MR0531027
  3. I. Csiszár, Information-type measures of difference of probability distributions and indirect observations, Studia Sci. Math. (1967), 2, 299-316. (1967) MR0219345
  4. P. E. Ferreira, Miscellanea, extending Fisher's measure of information, Biometrika 68 (1981), 3, 695-698. (1981) MR0637790
  5. J. J. Gart, An extension of the Cramer-Rao inequality, Ann. Math. Statist. 30 (1959), 367- 379. (1959) Zbl0093.15804MR0106524
  6. G. G. Roussas, A First Course in Mathematical Statistics, Addision-Wesley, 1973. (1973) Zbl0271.62001
  7. I. Vajda, χ α -divergence and generalized Fisher’s information, In: Trans. 6th Prague Conf. on Inform. Theory, Statist. Dec. Functions and Random Processes, pp. 873 - 886. Academia, Prague 1973. (1973) MR0356302
  8. I. Vincze, On the Cramer-Fréchet-Rao inequality in the non regular case, In: Contributions to Statistics (J. Hajek Memorial Volume), pp. 253 - 262. Academia, Prague 1979. (1979) Zbl0419.62029MR0561273

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