Title:
|
On additive and non-additive measures of directed divergence (English) |
Author:
|
Behara, M. |
Author:
|
Nath, P. |
Language:
|
English |
Journal:
|
Kybernetika |
ISSN:
|
0023-5954 |
Volume:
|
16 |
Issue:
|
1 |
Year:
|
1980 |
Pages:
|
(1)-12 |
. |
Category:
|
math |
. |
MSC:
|
39B99 |
MSC:
|
60A05 |
MSC:
|
60A10 |
MSC:
|
94A15 |
MSC:
|
94A17 |
idZBL:
|
Zbl 0442.60007 |
idMR:
|
MR575413 |
. |
Date available:
|
2009-09-24T17:11:40Z |
Last updated:
|
2012-06-05 |
Stable URL:
|
http://hdl.handle.net/10338.dmlcz/124260 |
. |
Reference:
|
[1] J. Aczél: Lectures on Functional Equations and Their Applications.Academic Press, New York 1966. MR 0208210 |
Reference:
|
[2] M. Behara P. Nath: Information and Entropy of Countable Measurable Positions I.Kybernetika 10 (1974), 6, 491-503. MR 0379020 |
Reference:
|
[3] Z. Daróczy: Generalized Information Functions.Information and Control 16 (1970), 1, 36-51. MR 0272528 |
Reference:
|
[4] J. Havrda F. Charvát: Quantification Method of Classification Processes. The Concept of Structural a-entropy.Kybernetika 3 (1967), 1, 30-35. MR 0209067 |
Reference:
|
[5] D. F. Kerridge: Inaccuracy and Inference.J. Roy. Statist. Soc. Ser. B 23 (1961), 184-194. Zbl 0112.10302, MR 0123375 |
Reference:
|
[6] S. Kullback: Information Theory and Statistics.John Wiley & Sons, New York; Chapman & Hall, London 1959. Zbl 0088.10406, MR 0103557 |
Reference:
|
[7] P. Nath: An Axiomatic Characterization of Inaccuracy for Discrete Generalized Probability Distributions.Opsearch 7 (1970), 115 - 133. MR 0283847 |
Reference:
|
[8] P. Nath: Some Axiomatic Characterizations of a Non-Additive Measure of Divergence in Information.Jour. Math. Sciences 7 (1972), 57-68. MR 0490452 |
Reference:
|
[9] A. Rényi: On Measures of Entropy and Information.Proc. 4th Berkeley Symp. Math. Statist. Probability 1 (1960), 547-561. MR 0132570 |
Reference:
|
[10] C. E. Shannon: A Mathematical Theory of Communication.Bell System Technical Journal 27 (1968), 379-423, 623-656. MR 0026286 |
Reference:
|
[11] I. Vajda: Axioms for a-entropy of a Generalized Probability Scheme.(Czech). Kybernetika 4 (1968), 2, 105-112. Zbl 0193.48201, MR 0233626 |
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