| Title:
|
On an axiomatic characterization of entropy of order $\alpha$ (theoretic measure) (English) |
| Author:
|
Khan, A. Basar |
| Language:
|
English |
| Journal:
|
Kybernetika |
| ISSN:
|
0023-5954 |
| Volume:
|
15 |
| Issue:
|
4 |
| Year:
|
1979 |
| Pages:
|
(293)-298 |
| . |
| Category:
|
math |
| . |
| MSC:
|
62B10 |
| MSC:
|
94A17 |
| idZBL:
|
Zbl 0424.94004 |
| idMR:
|
MR551573 |
| . |
| Date available:
|
2009-09-24T17:08:43Z |
| Last updated:
|
2012-06-05 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/125196 |
| . |
| Reference:
|
[1] L. L. Campbell: Characterization of entropy of probability distributions on real lines.Information and control 21 (1972), 329-338. MR 0323447 |
| Reference:
|
[2] A. Hobson: A new theorem of information theory.J. Stat. Phys. 1 (1969), 383-391. MR 0321609 |
| Reference:
|
[3] P. L. Kannappan: On Shannon entropy, directed divergence and inaccuracy.Z. Wahrs. verw. Geb. 22 (1972), 95-100. MR 0308635 |
| Reference:
|
[4] S. Kullback: Information theory and statistics.Dover Publications, Inc., New York (1959). Zbl 0088.10406, MR 0103557 |
| Reference:
|
[5] P. N. Rathie P. L. Kannappan: A directed divergence function of type $\beta$.Information and Control 20 (1972), 38-45. MR 0414234 |
| Reference:
|
[6] A. Rényi: On measures of entropy and informations.Proc. 4th Berkley Symposium on Probability and Stat., Berkley 1961, Vol. 1, 547-561. MR 0132570 |
| Reference:
|
[7] B. D. Sharma R. Autar: Relative information functions and their type ($\alpha$, $\beta$). Generalizations.Metrika 21 (1973). MR 0363704 |
| Reference:
|
[8] B. D. Sharma I. J. Taneja: On axiomatic characterization of information-theoretic measures.J. Statist. Phys. 10 (1974), 4, 337-346. MR 0403809 |
| Reference:
|
[9] I. Vajda: On the amount of information contained in a sequence of independent observations.Kybernetika 6 (1970), 4, 306-324. Zbl 0202.17802, MR 0301831 |
| Reference:
|
[10] I. Vajda: Limit theorem for total variation of Cartesian product measures.Studia Scientiarum Mathematicarum Hungarica 6 (1971), 317-333. MR 0310950 |
| Reference:
|
[11] C. T. Ng: Representation for measures of information with the branching property.Information and Control 25 (1974), 45-56. Zbl 0279.94018, MR 0342273 |
| . |
