| Title:
|
Discretization problems on generalized entropies and $R$-divergences (English) |
| Author:
|
Pardo, L. |
| Author:
|
Morales, D. |
| Author:
|
Ferentinos, K. |
| Author:
|
Zografos, K. |
| Language:
|
English |
| Journal:
|
Kybernetika |
| ISSN:
|
0023-5954 |
| Volume:
|
30 |
| Issue:
|
4 |
| Year:
|
1994 |
| Pages:
|
445-460 |
| . |
| Category:
|
math |
| . |
| MSC:
|
62B10 |
| MSC:
|
62E20 |
| MSC:
|
62F10 |
| MSC:
|
94A17 |
| idZBL:
|
Zbl 0813.62005 |
| idMR:
|
MR1303295 |
| . |
| Date available:
|
2009-09-24T18:49:18Z |
| Last updated:
|
2012-06-06 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/124158 |
| . |
| Reference:
|
[1] M. W. Birch: A new proof of the Pearson-Fisher Theorem.Ann. Math. Statist. 35 (1964), 817-824. Zbl 0259.62017, MR 0169324 |
| Reference:
|
[2] J. Burbea, C. R. Rao: Entropy differential metric, distance and divergence measures in probability spaces: A unified approach.J. Multivariate Anal. 12 (1982), 575-596. Zbl 0526.60015, MR 0680530 |
| Reference:
|
[3] T. M. Cover, J. B. Thomas: Elements of Information Theory.J. Wiley, New York 1991. Zbl 0762.94001, MR 1122806 |
| Reference:
|
[4] I. Csiszár: Generalized entropy and quantization problem.In: Trans. of the Sixth Prague Conference, Academia, Prague 1973, pp. 159-174. MR 0359995 |
| Reference:
|
[5] S. G. Ghurye, B. Johnson: Discrete approximations to the information integral.Canad. J. Statist. 9 (1981), 27-37. Zbl 0473.62007, MR 0638384 |
| Reference:
|
[6] D. Morales L. Pardo M. Salicrú, M. L. Menéndez: Information measures associated to R-divergences.In: Multivariate analysis: Future directions 2. (C. M. Cuadras and C. R. Rao, eds.) Elsevier Science Publishers, B. V. 1982. |
| Reference:
|
[7] M. Salicrú M. L. Menéndez L. Pardo, D. Morales: Asymptotic distribution of $(h,\phi)$-entropies.Comm. Statist. A -- Theory Methods (to appear). MR 1238377 |
| Reference:
|
[8] I. J. Taneja: On generalized information measures and their applications.Adv. Elect. and Elect. Phys. 76 (1989), 327-413. |
| Reference:
|
[9] I. Vajda, K. Vašek: Majorization, concave entropies and comparison of experiments.Problems Control Inform. Theory 14 (1985), 105-115. MR 0806056 |
| Reference:
|
[10] K. Zografos K. Ferentinos, T. Papaioannou: Discrete approximations to the Csiszár, Rényi, and Fisher measures of information.Canadian J. Statist. 14 (1986), 4, 355-366. MR 0876762 |
| . |
