On an axiomatic characterization of entropy of order α (theoretic measure)

Abul Basar Khan

Kybernetika (1979)

  • Volume: 15, Issue: 4, page (293)-298
  • ISSN: 0023-5954

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Khan, Abul Basar. "On an axiomatic characterization of entropy of order $\alpha $ (theoretic measure)." Kybernetika 15.4 (1979): (293)-298. <http://eudml.org/doc/28351>.

@article{Khan1979,
author = {Khan, Abul Basar},
journal = {Kybernetika},
keywords = {entropy of order alpha; Kullback's relative information; Pearson's chi- square statistics},
language = {eng},
number = {4},
pages = {(293)-298},
publisher = {Institute of Information Theory and Automation AS CR},
title = {On an axiomatic characterization of entropy of order $\alpha $ (theoretic measure)},
url = {http://eudml.org/doc/28351},
volume = {15},
year = {1979},
}

TY - JOUR
AU - Khan, Abul Basar
TI - On an axiomatic characterization of entropy of order $\alpha $ (theoretic measure)
JO - Kybernetika
PY - 1979
PB - Institute of Information Theory and Automation AS CR
VL - 15
IS - 4
SP - (293)
EP - 298
LA - eng
KW - entropy of order alpha; Kullback's relative information; Pearson's chi- square statistics
UR - http://eudml.org/doc/28351
ER -

References

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  1. L. L. Campbell, Characterization of entropy of probability distributions on real lines, Information and control 21 (1972), 329-338. (1972) MR0323447
  2. A. Hobson, A new theorem of information theory, J. Stat. Phys. 1 (1969), 383-391. (1969) MR0321609
  3. P. L. Kannappan, On Shannon entropy, directed divergence and inaccuracy, Z. Wahrs. verw. Geb. 22 (1972), 95-100. (1972) MR0308635
  4. S. Kullback, Information theory and statistics, Dover Publications, Inc., New York (1959). (1959) Zbl0088.10406MR0103557
  5. P. N. Rathie P. L. Kannappan, A directed divergence function of type β , Information and Control 20 (1972), 38-45. (1972) MR0414234
  6. A. Rényi, On measures of entropy and informations, Proc. 4th Berkley Symposium on Probability and Stat., Berkley 1961, Vol. 1, 547-561. (1961) MR0132570
  7. B. D. Sharma R. Autar, Relative information functions and their type ( α , β ). Generalizations, Metrika 21 (1973). (1973) MR0363704
  8. B. D. Sharma I. J. Taneja, On axiomatic characterization of information-theoretic measures, J. Statist. Phys. 10 (1974), 4, 337-346. (1974) MR0403809
  9. I. Vajda, On the amount of information contained in a sequence of independent observations, Kybernetika 6 (1970), 4, 306-324. (1970) Zbl0202.17802MR0301831
  10. I. Vajda, Limit theorem for total variation of Cartesian product measures, Studia Scientiarum Mathematicarum Hungarica 6 (1971), 317-333. (1971) MR0310950
  11. C. T. Ng, Representation for measures of information with the branching property, Information and Control 25 (1974), 45-56. (1974) Zbl0279.94018MR0342273

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