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

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

Statistics & Probability Letters, 1998, vol. 36, issue 4, 401-413

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.

Keywords: Best; k-nets; Trimmed; best; k-nets; k-means; Trimmed; k-means; Bridging; objects; Clustering; methods; Consistency; Robustness (search for similar items in EconPapers)
Date: 1998
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