| Title:
|
On axiomatic characterization of information-theoretic measure type $\left( \begin{array}{cc} \alpha & \beta \\ \gamma & \delta \end{array} \right)$ (English) |
| Author:
|
Taneja, I. J. |
| Author:
|
Gupta, H. C. |
| Language:
|
English |
| Journal:
|
Kybernetika |
| ISSN:
|
0023-5954 |
| Volume:
|
15 |
| Issue:
|
3 |
| Year:
|
1979 |
| Pages:
|
(204)-214 |
| . |
| Category:
|
math |
| . |
| MSC:
|
39B99 |
| MSC:
|
94A17 |
| idZBL:
|
Zbl 0406.94003 |
| idMR:
|
MR542176 |
| . |
| Date available:
|
2009-09-24T17:07:38Z |
| Last updated:
|
2012-06-05 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/125760 |
| . |
| Reference:
|
[1] T. W. Chaundy J. B. McLeod: On a functional equation.Proc. Edin. Math. Soc. Edin. Math. Notes 43 (1960-61), 6-7. MR 0151748 |
| Reference:
|
[2] Z. Daróczy: Generalized information functions.Information and Control 11 (1970), 36-51. MR 0272528 |
| Reference:
|
[3] A. Feinstein: Foundations of Information Theory.McGraw-Hill, New York 1958. Zbl 0082.34602, MR 0095087 |
| Reference:
|
[4] J. Havrda F. Charvát: Quantification method of classification processes, concept of structural a-entropy.Kybernetika 3 (1967), 30 - 35. MR 0209067 |
| Reference:
|
[5] D. F. Kerridge: Inaccuracy and inference.J. Royal Stat. Soc. Ser. B 23 (1961), 1, 184-194. Zbl 0112.10302, MR 0123375 |
| Reference:
|
[6] A. I. Khinchine: Mathematical Foundations in Information Theory.Dover Publication, Inc., New York 1958. |
| Reference:
|
[7] S. Kullback: Information Theory and Statistics.Dover Pub. Inc., New York 1968. MR 1461541 |
| Reference:
|
[8] C. E. Shannon: A mathematical theory of communication.Bell System Tech. J. 27 (1948), 379-423, 623-656. Zbl 1154.94303, MR 0026286 |
| Reference:
|
[9] B. D. Sharma R. Autar: On characterization of a generalized inaccuracy measure in information theory.J. Appl. Prob. 10 (1973), 464-468. MR 0389406 |
| Reference:
|
[10] B. D. Sharma R. Autar: Relative-information functions and their type ($\alpha$, $\beta$) generalizations.Metrika 21 (1974), 41-50. MR 0363704 |
| Reference:
|
[11] B. D. Sharma H. C. Gupta: Sub-additive measures of relative-information, and inaccuracy.Metrika 23 (1976), 155-165. MR 0437211 |
| Reference:
|
[12] B. D. Sharma I. J. Taneja: On axiomatic characterization of information-theoretic measures.J. Stat. Phys. 10 (1974), 337-346. MR 0403809 |
| Reference:
|
[13] B. D. Sharma I. J. Taneja: Entropy of type ($\alpha$, $\beta$) and other generalized measures in information theory.Metrika 22 (1975), 205 - 215. MR 0398670 |
| Reference:
|
[14] I. J. Taneja: On the branching property of entropy.Annales Polonici Mathematici 35 (1977), 67-75. Zbl 0424.94005, MR 0499877 |
| Reference:
|
[15] I. J. Taneja H. C. Gupta: On generalized measures of relative-information and inaccuracy.Aplikace matematiky 23 (1978). MR 0504368 |
| Reference:
|
[16] I. Vajda: Axioms for a-entropy of generalized probability scheme.Kybernetika 4 (1968), 2, 105-112. MR 0233626 |
| . |
