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Trimming algorithms for clustering contaminated grouped data and their robustness

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  • María Gallegos
  • Gunter Ritter

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    Abstract

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    File URL: http://hdl.handle.net/10.1007/s11634-009-0044-9
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    Bibliographic Info

    Article provided by Springer in its journal Advances in Data Analysis and Classification.

    Volume (Year): 3 (2009)
    Issue (Month): 2 (September)
    Pages: 135-167

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    Handle: RePEc:spr:advdac:v:3:y:2009:i:2:p:135-167

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    Web page: http://www.springer.com/statistics/statistical+theory+and+methods/journal/11634

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    Related research

    Keywords: Statistical clustering; Robust clustering; Trimming algorithm; Breakdown points; Heteroscedasticity; HDBT ratio; Primary 62H30; Secondary 62F35;

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    References

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    1. Neykov, N. & Filzmoser, P. & Dimova, R. & Neytchev, P., 2007. "Robust fitting of mixtures using the trimmed likelihood estimator," Computational Statistics & Data Analysis, Elsevier, vol. 52(1), pages 299-308, September.
    2. Hanfeng Chen & Jiahua Chen & John D. Kalbfleisch, 2004. "Testing for a finite mixture model with two components," Journal of the Royal Statistical Society Series B, Royal Statistical Society, vol. 66(1), pages 95-115.
    3. H. Bock, 1985. "On some significance tests in cluster analysis," Journal of Classification, Springer, vol. 2(1), pages 77-108, December.
    4. Glenn Milligan & Martha Cooper, 1985. "An examination of procedures for determining the number of clusters in a data set," Psychometrika, Springer, vol. 50(2), pages 159-179, June.
    5. Robert Tibshirani & Guenther Walther & Trevor Hastie, 2001. "Estimating the number of clusters in a data set via the gap statistic," Journal of the Royal Statistical Society Series B, Royal Statistical Society, vol. 63(2), pages 411-423.
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    Cited by:
    1. C. Ruwet & L. García-Escudero & A. Gordaliza & A. Mayo-Iscar, 2012. "The influence function of the TCLUST robust clustering procedure," Advances in Data Analysis and Classification, Springer, vol. 6(2), pages 107-130, July.
    2. Gallegos, María Teresa & Ritter, Gunter, 2010. "Using combinatorial optimization in model-based trimmed clustering with cardinality constraints," Computational Statistics & Data Analysis, Elsevier, vol. 54(3), pages 637-654, March.
    3. Gallegos, María Teresa & Ritter, Gunter, 2013. "Strong consistency of k-parameters clustering," Journal of Multivariate Analysis, Elsevier, vol. 117(C), pages 14-31.
    4. Luis García-Escudero & Alfonso Gordaliza & Carlos Matrán & Agustín Mayo-Iscar, 2010. "A review of robust clustering methods," Advances in Data Analysis and Classification, Springer, vol. 4(2), pages 89-109, September.

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