On characterization of directed divergence of type β through information equation

Ramji P. Singh; Ravindar Kumar Khanna

Kybernetika (1984)

  • Volume: 20, Issue: 2, page 159-167
  • ISSN: 0023-5954

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Singh, Ramji P., and Khanna, Ravindar Kumar. "On characterization of directed divergence of type $\beta $ through information equation." Kybernetika 20.2 (1984): 159-167. <http://eudml.org/doc/27645>.

@article{Singh1984,
author = {Singh, Ramji P., Khanna, Ravindar Kumar},
journal = {Kybernetika},
language = {eng},
number = {2},
pages = {159-167},
publisher = {Institute of Information Theory and Automation AS CR},
title = {On characterization of directed divergence of type $\beta $ through information equation},
url = {http://eudml.org/doc/27645},
volume = {20},
year = {1984},
}

TY - JOUR
AU - Singh, Ramji P.
AU - Khanna, Ravindar Kumar
TI - On characterization of directed divergence of type $\beta $ through information equation
JO - Kybernetika
PY - 1984
PB - Institute of Information Theory and Automation AS CR
VL - 20
IS - 2
SP - 159
EP - 167
LA - eng
UR - http://eudml.org/doc/27645
ER -

References

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  1. J. Aczel, Results on entropy equation, Bull. Acad. Polon. Sci. Sér. Sci. Math. 25 (1977), 12-17. (1977) MR0437968
  2. L. L. Campbell, Characterization of Entropy in Arbitrary Probability Spaces, Preprint No. 1970-32, Queen's University, Kingston, Ontario 1970. (1970) 
  3. D. G. Gallager, Information Theory and Reliable Communication, John Wiley and Sons, New York 1968, 523-524. (1968) Zbl0198.52201
  4. A. Kamiński, J. Mikusiński, On the entropy equation, Bull. Acad. Polon. Sci. Sér. Sci. Math. 22 (1974), 319-323. (1974) MR0340870
  5. S. Kullback, Information Theory and Statistics, John Wiley and Sons, New York 1959. (1959) Zbl0088.10406MR0103557
  6. P. L. Kannappan, P. N. Rathie, An application of a functional equation to information theory, Ann. Polon. Math. XXVI (1972). (1972) Zbl0235.39001MR0304909
  7. D. F. Kerridge (1961), Inaccuracy and inference, J. Roy. Statist. Soc. Ser. A 23 (1961), 184-194. (1961) MR0123375
  8. P. N. Rathie, P. L. Kannappan, A directed divergence function of type β , Inform. and Control 20 (1972), 38-45. (1972) Zbl0231.94015MR0414234
  9. A. Rényi, On measures of entropy and information, Proc. Fourth Berkeley Symposium Math. Statist. and Probability 1 (1961), 547-561. (1961) MR0132570
  10. B. D. Sharma, Ram Autar, Relative information functions and their type ( α , β ) generalizations, Metrika.27 (1974), 41-50. (1974) MR0363704
  11. B. D. Sharma, R. S. Soni, A new generalized functional equation for inaccuracy and entropy of kind β , Funkcial. Ekvac. 17 (1974), 1-11. (1974) Zbl0312.94009MR0403808
  12. H. Theil, Economics and Information Theory, North-Holland, Amsterdam 1967. (1967) 

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