| Title:
|
A summary on entropy statistics (English) |
| Author:
|
Esteban, María Dolores |
| Author:
|
Morales, Domingo |
| Language:
|
English |
| Journal:
|
Kybernetika |
| ISSN:
|
0023-5954 |
| Volume:
|
31 |
| Issue:
|
4 |
| Year:
|
1995 |
| Pages:
|
337-346 |
| . |
| Category:
|
math |
| . |
| MSC:
|
62B10 |
| MSC:
|
62E20 |
| MSC:
|
94A17 |
| idZBL:
|
Zbl 0857.62002 |
| idMR:
|
MR1357348 |
| . |
| Date available:
|
2009-09-24T18:56:19Z |
| Last updated:
|
2012-06-06 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/124679 |
| . |
| Reference:
|
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| Reference:
|
[2] S. Arimoto: Information-theoretical considerations on estimation problems.Inform. and Control 19(1971), 181-194. Zbl 0222.94022, MR 0309224 |
| Reference:
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[3] M. Belis, S. Guiasu: A quantitative-qualitative measure of information in cybernetics systems.IEEE Trans. Inform. Theory IT-4 (1968), 593-594. |
| Reference:
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[4] J. Feistauerova, I. Vajda: Testing system entropy and prediction error probability.IEEE Trans. Systems Man Cybernet. 23 (1993), 1352-1358. |
| Reference:
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[5] C. Ferreri: Hypoentropy and related heterogeneity divergence measures.Statistica 40 (1980), 55-118. MR 0586545 |
| Reference:
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[6] P. Gil: Medidas de incertidumbre e informacion en problemas de decision estadistica.Rev. Real Acad. Cienc. Exact. Fis. Natur. Madrid LXIX (1975), 549-610. MR 0394956 |
| Reference:
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[7] J. Havrda, F. Charvát: Concept of structural $\alpha$-entropy.Kybernetika 3 (1967), 30-35. MR 0209067 |
| Reference:
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[8] J. N. Kapur: Generalized entropy of order a and type $\beta$.The Math. Seminar 4 (1967), 78-82. MR 0269428 |
| Reference:
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[9] H. B. Mann, A. Wald: On the choice of the number of class intervals in the application of the chi-squared test.Ann. Math. Statist. 13 (1942), 306-317. MR 0007224 |
| Reference:
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[10] C. F. Picard: The use of Information theory in the study of the diversity of biological populations.In: Proc. Fifth Berk. Symp. IV, 1979, pp. 163-177. |
| Reference:
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[11] C. R. Rao: Linear Statistical Inference and its Applications.Second edition. J. Wiley, New York 1973. Zbl 0256.62002, MR 0346957 |
| Reference:
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[12] A. Renyi: On the measures of entropy and information.In: Proc. 4th Berkeley Symp. Math. Statist, and Prob., 1, 1961, pp. 547-561. MR 0132570 |
| Reference:
|
[13] A. P. Sant'anna, I. J. Taneja: Trigonometric entropies, ensen difference divergences and error bounds.Inform. Sci. 35 (1985), 145-156. MR 0794765 |
| Reference:
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[14] C. E. Shannon: A mathematical theory of communication.Bell. System Tech. J. 21 (1948), 379-423. Zbl 1154.94303, MR 0026286 |
| Reference:
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[15] B. D. Sharma, D. P. Mittal: New non-additive measures of relative information.J. Combin. Inform. System Sci. 2 (1975), 122-133. MR 0476167 |
| Reference:
|
[16] B. D. Sharma, I. J. Taneja: Entropy of type ($\alpha$, $\beta$) and other generalized measures in information theory.Metrika 22 (1975), 205-215. Zbl 0328.94012, MR 0398670 |
| Reference:
|
[17] B. D. Sharma, I. J. Taneja: Three generalized additive measures of entropy.Elektron. Informationsverarb. Kybernet. 13 (1977), 419-433. Zbl 0372.94021, MR 0530208 |
| Reference:
|
[18] I. J. Taneja: A Study of Generalized Measures in Information Theory.Ph.D. Thesis, University of Delhi 1975. |
| Reference:
|
[19] R. S. Varma: Generalizations of Renyi's entropy of order $\alpha$.J. Math. Sci. 1 (1966), 34-48. Zbl 0166.15401, MR 0210515 |
| . |
