Title:
|
Measures of information associated with Csiszár's divergences (English) |
Author:
|
Salicrú, Miquel |
Language:
|
English |
Journal:
|
Kybernetika |
ISSN:
|
0023-5954 |
Volume:
|
30 |
Issue:
|
5 |
Year:
|
1994 |
Pages:
|
563-573 |
. |
Category:
|
math |
. |
MSC:
|
62B10 |
MSC:
|
94A15 |
MSC:
|
94A17 |
idZBL:
|
Zbl 0837.94007 |
idMR:
|
MR1314352 |
. |
Date available:
|
2009-09-24T18:50:49Z |
Last updated:
|
2012-06-06 |
Stable URL:
|
http://hdl.handle.net/10338.dmlcz/125139 |
. |
Reference:
|
[1] J. Aggarwal: Sur l'information de Fisher.In: Théories de l'Information (J. Kampé de Fériet, ed.), Springer-Verlag, Berlin--New York 1974, pp. 111-117. Zbl 0299.94016, MR 0347450 |
Reference:
|
[2] S. Amari: Differential-Geometric Methods in Statistics.(Lecture Notes in Statistics 28.) Springer-Verlag, Berlin--New York 1985. MR 0788689 |
Reference:
|
[3] D. E. Boekee: The $D_f$ information of order $s$.In: Trans, of the Eighth Prague Conference, Academia, Prague 1978, Vol. C, pp. 55-66. MR 0557706 |
Reference:
|
[4] J. Burbea: Informative geometry in probability spaces.Exposition. Math. 4 (1986), 345-365. MR 0867963 |
Reference:
|
[5] 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:
|
[6] K. Ferentinos, T. Papaioannou: New parametric measures of information.Inform. and Control 51 (1981), 193-208. Zbl 0524.62005, MR 0686839 |
Reference:
|
[7] C. Fourgeaud, A. Fuchs: Statistique.Dunod, Paris 1972. Zbl 0234.62001, MR 0258161 |
Reference:
|
[8] A. M. Kagan: On the theory of Fisher's amount of information.Soviet Math. Dokl. 4 (1963), 991-993. Zbl 0138.14902 |
Reference:
|
[9] C. R. Rao: Differential metrics in probability spaces.In: Differential Geometry in Statistical Inference (Shanti S. Gupta, series ed.), 1987, pp. 217-240. |
Reference:
|
[10] C. R. Rao: Linear Statistical Inference and its Applications.Wiley, New York 1973. Zbl 0256.62002, MR 0346957 |
Reference:
|
[11] M. Salicrú: Medidas de divergencia en an lisis de datos (Tesis doctoral.).Univ. Barcelona 1987. |
Reference:
|
[12] M. Salicrú: Matrices Riemanianas asociadas a M-divergencias.In: XVII Congreso SEIO, 1988, pp. 51-54. |
Reference:
|
[13] M. Salicrú: Matrices informativas asociadas a medidas de Csiszár.In: XVIII Congreso SEIO, 1989, pp. 462-467. |
Reference:
|
[14] M. Salicrú, P. Sanchez: Matrices informativas asociadas a J-divergencias.In: II Conferencia española de Biometria, 1989, pp. 249-251. |
Reference:
|
[15] I. Vajda: $\chi^2$-divergence and generalized Fisher's information.In: Trans. of the Sixth Prague Conference, Academia, Prague 1971, pp. 873-886. MR 0356302 |
. |