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Article

Title: Multivariate statistical pattern recognition with nonreduced dimensionality (English)
Author: Grim, Jiří
Language: English
Journal: Kybernetika
ISSN: 0023-5954
Volume: 22
Issue: 2
Year: 1986
Pages: 142-157
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Category: math
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MSC: 62H30
MSC: 68T10
idZBL: Zbl 0609.62099
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Date available: 2009-09-24T17:52:24Z
Last updated: 2012-06-05
Stable URL: http://hdl.handle.net/10338.dmlcz/125022
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Reference: [1] L. E. Baum T. Petrie G. Soules, N. Weiss: A maximization technique occurring in the statistical analysis of probabilistic functions of Markov chains.Ann. Math. Statist. 41 (1970), 164-171. MR 0287613
Reference: [2] A. P. Dempster N. M. Laird, and D. B. Rubin: Maximum likelihood from incomplete data via the EM algorithm.J. Roy. Statist. Soc. B 39 (1977), 1 - 38. MR 0501537
Reference: [3] J. Grim: An algorithm for maximizing a finite sum of positive functions and its application to cluster analysis.Problems Control Inform. Theory 10 (1981), 427-437. Zbl 0476.65100, MR 0643728
Reference: [4] J. Grim: On numerical evaluation of maximum-likelihood estimates for finite mixtures of distributions.Kybernetika 18 (1982), 173-190. Zbl 0489.62028, MR 0680154
Reference: [5] J. Grim: Application of finite mixtures to multivariate statistical pattern recognition.In: Proceedings of DIANA Conf. held in Liblice near Prague, September 27-October 1, 1982.
Reference: [6] J. Grim: Design and optimization of multilevel homogeneous structures for multivariate pattern recognition.In: Proc. Fourth Formator Symposium (J. Beneš, L. Bakule, eds.), Academia, Prague 1983, pp. 223-240. Zbl 0533.62071, MR 0726960
Reference: [7] J. Grim: On structural approximating multivariate discrete probability distributions.Kybernetika 20 (1984), 1-17. Zbl 0547.62034, MR 0741419
Reference: [8] S. Kullback: Information Theory and Statistics.Dover, New York 1968. MR 1461541
Reference: [9] M. A. G. Mattoso Maia, M. C. Fairhurst: On the use of I-divergence for generating distribution approximations.IEEE Trans. Pattern Anal, and Mach. Intel. PAMI-5 (1983), 661-664. Zbl 0527.62027
Reference: [10] R. A. Redner, H. F. Walker: Mixture densities, maximum likelihood and the EM algorithm.SIAM Review 26 (1984), 195-239. Zbl 0536.62021, MR 0738930
Reference: [11] M. I. Shlezinger: Relation between learning and self-learning in pattern recognition.(in Russian). Kibernetika (Kiev) (1968), 2, 81-88.
Reference: [12] C. F. J. Wu: On the convergence properties of the EM algorithm.Ann. Statist. 11 (1983), 95-103. Zbl 0517.62035, MR 0684867
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