| Title:
|
On characterization of directed divergence of type $\beta$ through information equation (English) |
| Author:
|
Singh, R. P. |
| Author:
|
Khanna, R. K. |
| Language:
|
English |
| Journal:
|
Kybernetika |
| ISSN:
|
0023-5954 |
| Volume:
|
20 |
| Issue:
|
2 |
| Year:
|
1984 |
| Pages:
|
159-167 |
| . |
| Category:
|
math |
| . |
| MSC:
|
94A17 |
| idZBL:
|
Zbl 0548.94009 |
| idMR:
|
MR747066 |
| . |
| Date available:
|
2009-09-24T17:40:08Z |
| Last updated:
|
2012-06-05 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/124490 |
| . |
| Reference:
|
[1] J. Aczel: Results on entropy equation.Bull. Acad. Polon. Sci. Sér. Sci. Math. 25 (1977), 12-17. MR 0437968 |
| Reference:
|
[2] L. L. Campbell: Characterization of Entropy in Arbitrary Probability Spaces.Preprint No. 1970-32, Queen's University, Kingston, Ontario 1970. |
| Reference:
|
[3] D. G. Gallager: Information Theory and Reliable Communication.John Wiley and Sons, New York 1968, 523-524. Zbl 0198.52201 |
| Reference:
|
[4] A. Kamiński, J. Mikusiński: On the entropy equation.Bull. Acad. Polon. Sci. Sér. Sci. Math. 22 (1974), 319-323. MR 0340870 |
| Reference:
|
[5] S. Kullback: Information Theory and Statistics.John Wiley and Sons, New York 1959. Zbl 0088.10406, MR 0103557 |
| Reference:
|
[6] P. L. Kannappan, P. N. Rathie: An application of a functional equation to information theory.Ann. Polon. Math. XXVI (1972). Zbl 0235.39001, MR 0304909 |
| Reference:
|
[7] D. F. Kerridge (1961): Inaccuracy and inference.J. Roy. Statist. Soc. Ser. A 23 (1961), 184-194. MR 0123375 |
| Reference:
|
[8] P. N. Rathie, P. L. Kannappan: A directed divergence function of type $\beta$.Inform. and Control 20 (1972), 38-45. Zbl 0231.94015, MR 0414234 |
| Reference:
|
[9] A. Rényi: On measures of entropy and information.Proc. Fourth Berkeley Symposium Math. Statist. and Probability 1 (1961), 547-561. MR 0132570 |
| Reference:
|
[10] B. D. Sharma, Ram Autar: Relative information functions and their type $(\alpha, \beta)$ generalizations.Metrika.27 (1974), 41-50. MR 0363704 |
| Reference:
|
[11] B. D. Sharma, R. S. Soni: A new generalized functional equation for inaccuracy and entropy of kind $\beta$.Funkcial. Ekvac. 17 (1974), 1-11. Zbl 0312.94009, MR 0403808 |
| Reference:
|
[12] H. Theil: Economics and Information Theory.North-Holland, Amsterdam 1967. |
| . |
