On axiomatic characterization of entropy of type ( α , β )

Inder Jeet Taneja

Aplikace matematiky (1977)

  • Volume: 22, Issue: 6, page 409-417
  • ISSN: 0862-7940

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Taneja, Inder Jeet. "On axiomatic characterization of entropy of type $(\alpha ,\beta )$." Aplikace matematiky 22.6 (1977): 409-417. <http://eudml.org/doc/15026>.

@article{Taneja1977,
author = {Taneja, Inder Jeet},
journal = {Aplikace matematiky},
language = {eng},
number = {6},
pages = {409-417},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {On axiomatic characterization of entropy of type $(\alpha ,\beta )$},
url = {http://eudml.org/doc/15026},
volume = {22},
year = {1977},
}

TY - JOUR
AU - Taneja, Inder Jeet
TI - On axiomatic characterization of entropy of type $(\alpha ,\beta )$
JO - Aplikace matematiky
PY - 1977
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 22
IS - 6
SP - 409
EP - 417
LA - eng
UR - http://eudml.org/doc/15026
ER -

References

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  1. T. W. Chaundy J. B. McLeod, On a functional equation, Proc. Edin. Math. Soc. Edin. Math. Notes 43 (1960), 6-7. (1960) MR0151748
  2. Z. Daróczy, 10.1016/S0019-9958(70)80040-7, Information and Control 16 (1970), 36-51. (1970) MR0272528DOI10.1016/S0019-9958(70)80040-7
  3. J. Havrda F. Charvát, Quantification Method of Classification Processes. Concept of Structural a-Entropy, Kybernetika 3 (1967), 30-35. (1967) MR0209067
  4. C. E. Channon, A mathematical theory of communication, B.S.T.J. 27 (1948), 379 - 423, 623-656. (1948) MR0026286
  5. B. D. Sharma I. J. Taneja, Functional Measures in Information Theory, Funkcialaj Ekvacioj 17(1974), 181-191. (1974) MR0379033
  6. B. D. Sharma I. J. Taneja, 10.1007/BF01899728, Metrika 22 (1975), 205-215. (1975) MR0398670DOI10.1007/BF01899728
  7. B. D. Sharma I. J. Taneja, Three Generalized-Additive Measures of Entropy, E. I. K. (Germany), vol. 13 (1977), 271-285. (1977) MR0530208
  8. I. J. Taneja, A Joint Characterization of Shannon’s Entropy and Entropy of Type β through a Functional Equation, Journal of Mathematical Sciences (India) 10 (1975), 69-74. (1975) MR0539497
  9. I. J. Taneja, On the Branching Property of Entropy, To appear in Annales Polonici Mathematici (Poland), Vol. XXXV, 1978. (1978) MR0499877
  10. I. J. Taneja, A Functional Equation of Type ( α , β ) in Information Theory, Communicated. 
  11. I. Vajda, Axioms for a-Entropy of a Generalized Probability Scheme, Kybernetika 2 (1968), 105-112. (1968) Zbl0193.48201MR0233626

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