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Trimmed best k-nets: A robustified version of an L[infinity]-based clustering method

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  • Cuesta-Albertos, J. A.
  • Gordaliza, A.
  • Matrán, C.

Abstract

The "impartial trimming" methodology in clustering analysis was initially designed (see Cuesta-Albertos et al., 1997) to gain protection against outliers and bridging objects (objects intermediate between clusters). In this work the methodology is applied to best k-nets. We include a study of optimal regions, which parallels that of trimmed k-means, showing that only non-pathological regions arise from impartial trimming procedures. Also we prove the strong consistency of the method by suitably varying the level of trimming with the size of the sample. A section is devoted to comparing the performance in a real data set of the suggested procedure with that of trimmed k-means.

Suggested Citation

  • Cuesta-Albertos, J. A. & Gordaliza, A. & Matrán, C., 1998. "Trimmed best k-nets: A robustified version of an L[infinity]-based clustering method," Statistics & Probability Letters, Elsevier, vol. 36(4), pages 401-413, January.
    • Handle: RePEc:eee:stapro:v:36:y:1998:i:4:p:401-413
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    References listed on IDEAS

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    1. S. L. Hakimi, 1965. "Optimum Distribution of Switching Centers in a Communication Network and Some Related Graph Theoretic Problems," Operations Research, INFORMS, vol. 13(3), pages 462-475, June.
    2. Gordaliza, A., 1991. "On the breakdown point of multivariate location estimators based on trimming procedures," Statistics & Probability Letters, Elsevier, vol. 11(5), pages 387-394, May.
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