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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
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Category: math
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MSC: 62B10
MSC: 94A15
MSC: 94A17
idZBL: Zbl 0837.94007
idMR: MR1314352
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Date available: 2009-09-24T18:50:49Z
Last updated: 2012-06-06
Stable URL: http://hdl.handle.net/10338.dmlcz/125139
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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
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