Geodesic
Measures of information associated with Csiszár's divergences
Kybernetika, Tome 30 (1994) no. 5, pp. 563-573

Voir la notice de l'article provenant de la source Czech Digital Mathematics Library

MR Zbl
Classification : 62B10, 94A15, 94A17 
Salicrú, Miquel. Measures of information associated with Csiszár's divergences. Kybernetika, Tome 30 (1994) no. 5, pp. 563-573. http://geodesic.mathdoc.fr/item/KYB_1994_30_5_a9/
@article{KYB_1994_30_5_a9,
     author = {Salicr\'u, Miquel},
     title = {Measures of information associated with {Csisz\'ar's} divergences},
     journal = {Kybernetika},
     pages = {563--573},
     year = {1994},
     volume = {30},
     number = {5},
     mrnumber = {1314352},
     zbl = {0837.94007},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/KYB_1994_30_5_a9/}
}
TY  - JOUR
AU  - Salicrú, Miquel
TI  - Measures of information associated with Csiszár's divergences
JO  - Kybernetika
PY  - 1994
SP  - 563
EP  - 573
VL  - 30
IS  - 5
UR  - http://geodesic.mathdoc.fr/item/KYB_1994_30_5_a9/
LA  - en
ID  - KYB_1994_30_5_a9
ER  - 
%0 Journal Article
%A Salicrú, Miquel
%T Measures of information associated with Csiszár's divergences
%J Kybernetika
%D 1994
%P 563-573
%V 30
%N 5
%U http://geodesic.mathdoc.fr/item/KYB_1994_30_5_a9/
%G en
%F KYB_1994_30_5_a9

[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. | MR | Zbl

[2] S. Amari: Differential-Geometric Methods in Statistics. (Lecture Notes in Statistics 28.) Springer-Verlag, Berlin--New York 1985. | MR

[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

[4] J. Burbea: Informative geometry in probability spaces. Exposition. Math. 4 (1986), 345-365. | MR

[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. | MR | Zbl

[6] K. Ferentinos, T. Papaioannou: New parametric measures of information. Inform. and Control 51 (1981), 193-208. | MR | Zbl

[7] C. Fourgeaud, A. Fuchs: Statistique. Dunod, Paris 1972. | MR | Zbl

[8] A. M. Kagan: On the theory of Fisher's amount of information. Soviet Math. Dokl. 4 (1963), 991-993. | Zbl

[9] C. R. Rao: Differential metrics in probability spaces. In: Differential Geometry in Statistical Inference (Shanti S. Gupta, series ed.), 1987, pp. 217-240.

[10] C. R. Rao: Linear Statistical Inference and its Applications. Wiley, New York 1973. | MR | Zbl

[11] M. Salicrú: Medidas de divergencia en an lisis de datos (Tesis doctoral.). Univ. Barcelona 1987.

[12] M. Salicrú: Matrices Riemanianas asociadas a M-divergencias. In: XVII Congreso SEIO, 1988, pp. 51-54.

[13] M. Salicrú: Matrices informativas asociadas a medidas de Csiszár. In: XVIII Congreso SEIO, 1989, pp. 462-467.

[14] M. Salicrú, P. Sanchez: Matrices informativas asociadas a J-divergencias. In: II Conferencia española de Biometria, 1989, pp. 249-251.

[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