| Title:
|
On non-additive measures of inaccuracy (English) |
| Author:
|
Gupta, H. C. |
| Author:
|
Sharma, Bhu Dev |
| Language:
|
English |
| Journal:
|
Czechoslovak Mathematical Journal |
| ISSN:
|
0011-4642 (print) |
| ISSN:
|
1572-9141 (online) |
| Volume:
|
26 |
| Issue:
|
4 |
| Year:
|
1976 |
| Pages:
|
584-595 |
| Summary lang:
|
Russian |
| . |
| Category:
|
math |
| . |
| MSC:
|
94A15 |
| idZBL:
|
Zbl 0353.94021 |
| idMR:
|
MR0439416 |
| DOI:
|
10.21136/CMJ.1976.101429 |
| . |
| Date available:
|
2008-06-09T14:20:32Z |
| Last updated:
|
2020-07-28 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/101429 |
| . |
| Reference:
|
[1] Aczel J.: Lectures on Functional Equations and Their Applications.Academic Press, 1966. Zbl 0139.09301, MR 0208210 |
| Reference:
|
[2] Daroćzy Z.: Generalized Information Functions.Information and Control, 16 (1970), 36-51. MR 0272528, 10.1016/S0019-9958(70)80040-7 |
| Reference:
|
[3] Gallager R. G.: Information Theory and Reliable Communications.John Wiley and Sons, Inc. New York, 1968, pp. 523. |
| Reference:
|
[4] Havrda J. F. Charvát: Quantification Method of Classification Process. The concept of structural a - entropy.Kybernetika 3 (1967), 30-35. MR 0209067 |
| Reference:
|
[5] Hardy G. H. J. E. Littlewood G. Pólya: Inequalities.Cambridge University Press, 1964. |
| Reference:
|
[6] Kerridge D. F.: Inaccuracy and Inference.J. R. Statist. Soc., series В 23 (1961), 184-194. Zbl 0112.10302, MR 0123375 |
| Reference:
|
[7] Rényi A.: On Measures of Entropy and Information.Proc. Fourth Berkeley Symp. on Math. Stat. and Probability, University of California Press, (1960), 547-561. MR 0132570 |
| Reference:
|
[8] Sharma B. D.: A Mean Value Study of Quantities in Information Theory.Ph. D. Thesis, Delhi University, 1970. |
| Reference:
|
[9] Sharma B. D. D. P. Mittal: New Non-additive Measures of Entropy for Discrete Probability Distributions.Journal of Mathematical Sciences, Vol. 10 (1975), 28 - 40. MR 0539493 |
| Reference:
|
[10] Sharma B. D. I. J. Taneja: Entropy of Type ($\alpha$, $\beta$) and Other Generalized Measures in Information Theory.METRIKA, Vol. 22 (1975), 205-215. MR 0398670 |
| Reference:
|
[11] Sharma B. D., Ram Autar: On Characterization of a Generalized Inaccuracy Measure in Information Theory.Journal of Applied Probability, Vol. 10 (1973), 464-468. MR 0389406, 10.2307/3212366 |
| Reference:
|
[12] Shannon C. E.: A Mathematical Theory of Communication.Bell System Tech. Journal, 27 (1948), 379-423. Zbl 1154.94303, MR 0026286, 10.1002/j.1538-7305.1948.tb01338.x |
| Reference:
|
[13] Vajda I.: Axioms for a - entropy of a Generalized Probability Scheme.Kybernetika 2 (1968), 105-112. Zbl 0193.48201, MR 0233626 |
| . |
