On axiomatic characterization of information-theoretic measure type α β γ δ

Inder Jeet Taneja; H. C. Gupta

Kybernetika (1979)

  • Volume: 15, Issue: 3, page (204)-214
  • ISSN: 0023-5954

How to cite

top

Taneja, Inder Jeet, and Gupta, H. C.. "On axiomatic characterization of information-theoretic measure type $\left( \begin{array}{cc} \alpha & \beta \\ \gamma & \delta \end{array} \right)$." Kybernetika 15.3 (1979): (204)-214. <http://eudml.org/doc/28914>.

@article{Taneja1979,
author = {Taneja, Inder Jeet, Gupta, H. C.},
journal = {Kybernetika},
keywords = {Relative Information; Inaccuracy; Measure of Information; Functional Equations},
language = {eng},
number = {3},
pages = {(204)-214},
publisher = {Institute of Information Theory and Automation AS CR},
title = {On axiomatic characterization of information-theoretic measure type $\left( \begin\{array\}\{cc\} \alpha & \beta \\ \gamma & \delta \end\{array\} \right)$},
url = {http://eudml.org/doc/28914},
volume = {15},
year = {1979},
}

TY - JOUR
AU - Taneja, Inder Jeet
AU - Gupta, H. C.
TI - On axiomatic characterization of information-theoretic measure type $\left( \begin{array}{cc} \alpha & \beta \\ \gamma & \delta \end{array} \right)$
JO - Kybernetika
PY - 1979
PB - Institute of Information Theory and Automation AS CR
VL - 15
IS - 3
SP - (204)
EP - 214
LA - eng
KW - Relative Information; Inaccuracy; Measure of Information; Functional Equations
UR - http://eudml.org/doc/28914
ER -

References

top
  1. T. W. Chaundy J. B. McLeod, On a functional equation, Proc. Edin. Math. Soc. Edin. Math. Notes 43 (1960-61), 6-7. (1960) MR0151748
  2. Z. Daróczy, Generalized information functions, Information and Control 11 (1970), 36-51. (1970) MR0272528
  3. A. Feinstein, Foundations of Information Theory, McGraw-Hill, New York 1958. (1958) Zbl0082.34602MR0095087
  4. J. Havrda F. Charvát, Quantification method of classification processes, concept of structural a-entropy, Kybernetika 3 (1967), 30 - 35. (1967) MR0209067
  5. D. F. Kerridge, Inaccuracy and inference, J. Royal Stat. Soc. Ser. B 23 (1961), 1, 184-194. (1961) Zbl0112.10302MR0123375
  6. A. I. Khinchine, Mathematical Foundations in Information Theory, Dover Publication, Inc., New York 1958. (1958) 
  7. S. Kullback, Information Theory and Statistics, Dover Pub. Inc., New York 1968. (1968) MR1461541
  8. C. E. Shannon, A mathematical theory of communication, Bell System Tech. J. 27 (1948), 379-423, 623-656. (1948) Zbl1154.94303MR0026286
  9. B. D. Sharma R. Autar, On characterization of a generalized inaccuracy measure in information theory, J. Appl. Prob. 10 (1973), 464-468. (1973) MR0389406
  10. B. D. Sharma R. Autar, Relative-information functions and their type ( α , β ) generalizations, Metrika 21 (1974), 41-50. (1974) MR0363704
  11. B. D. Sharma H. C. Gupta, Sub-additive measures of relative-information, and inaccuracy, Metrika 23 (1976), 155-165. (1976) MR0437211
  12. B. D. Sharma I. J. Taneja, On axiomatic characterization of information-theoretic measures, J. Stat. Phys. 10 (1974), 337-346. (1974) MR0403809
  13. B. D. Sharma I. J. Taneja, Entropy of type ( α , β ) and other generalized measures in information theory, Metrika 22 (1975), 205 - 215. (1975) MR0398670
  14. I. J. Taneja, On the branching property of entropy, Annales Polonici Mathematici 35 (1977), 67-75. (1977) Zbl0424.94005MR0499877
  15. I. J. Taneja H. C. Gupta, On generalized measures of relative-information and inaccuracy, Aplikace matematiky 23 (1978). (1978) MR0504368
  16. I. Vajda, Axioms for a-entropy of generalized probability scheme, Kybernetika 4 (1968), 2, 105-112. (1968) MR0233626

NotesEmbed ?

top

You must be logged in to post comments.

To embed these notes on your page include the following JavaScript code on your page where you want the notes to appear.

Only the controls for the widget will be shown in your chosen language. Notes will be shown in their authored language.

Tells the widget how many notes to show per page. You can cycle through additional notes using the next and previous controls.

    
                

Note: Best practice suggests putting the JavaScript code just before the closing </body> tag.