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REFERENCES
S. A. Aivazian, V. M. Bukhshtaber, I. S. Enyukov, and L. D. Meshalkin, Applied Statistics: Classification and Dimensionality Reduction [in Russian], Finansy i Statistika, Moscow (1989).
Yu. S. Kharin and E. E. Zhuk, “Asymptotic robustness in cluster analysis for the case of Tukey-Huber distortions, ” in: Information and Classification: Concepts, Methods, and Applications, Springer, New York (1993), pp. 31–39.
A. P. Kovalenko, “Algorithm to construct unimodal clusters by the k closest neighbor method, ” Avtomat. Telemekh., No. 5, 100–105 (1993).
A. A. Borovkov, Mathematical Statistics, Gordon and Breach, Amsterdam (1998).
A. V. Milenkii, Signal Classification under Undetermined Conditions [in Russian], Sovetskoe Radio, Moscow (1975).
Yu. S. Kharin, Robustness in Statistical Pattern Recognition, Kluwer, Dordrecht (1996).
E. E. Zhuk, “Robust decision rule of L-means in the case of uniform contamination, ” Vestnik Beloruss. Gos. Univ., Ser. 1, Fiz. Mat. Inform., No. 1, 45–50 (1995).
H. H. Bock, “On some significance tests in cluster analysis, ” J. Classification, 77–108 (1985).
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Zhuk, E.E. Cluster Analysis of a Mixture of Multivariate Probability Distributions under Uniform ‘Contamination’. Journal of Mathematical Sciences 103, 604–611 (2001). https://doi.org/10.1023/A:1009562314684
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DOI: https://doi.org/10.1023/A:1009562314684