On the breakdown behavior of the TCLUST clustering procedure
Clustering procedures allowing for general covariance structures of the obtained clusters need some constraints on the solutions. With this in mind, several proposals have been introduced in the literature. The TCLUST procedure works with a restriction on the “eigenvalues-ratio” of the clusters scat...
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Published in | Test (Madrid, Spain) Vol. 22; no. 3; pp. 466 - 487 |
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Main Authors | , , , |
Format | Journal Article Web Resource |
Language | English |
Published |
Berlin/Heidelberg
Springer Berlin Heidelberg
01.09.2013
Springer Nature B.V Springer |
Subjects | |
Online Access | Get full text |
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Summary: | Clustering procedures allowing for general covariance structures of the obtained clusters need some constraints on the solutions. With this in mind, several proposals have been introduced in the literature. The TCLUST procedure works with a restriction on the “eigenvalues-ratio” of the clusters scatter matrices. In order to try to achieve robustness with respect to outliers, the procedure allows to trim off a proportion
α
of the most outlying observations. The resistance to infinitesimal contamination of the TCLUST has already been studied. This paper aims to look at its resistance to a higher amount of contamination by means of the study of its breakdown behavior. The rather new concept of restricted breakdown point will demonstrate that the TCLUST procedure resists to a proportion
α
of contamination as soon as the data set is sufficiently “well clustered”. |
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Bibliography: | ObjectType-Article-2 SourceType-Scholarly Journals-1 ObjectType-Feature-1 content type line 23 scopus-id:2-s2.0-84889674769 |
ISSN: | 1133-0686 1863-8260 1863-8260 |
DOI: | 10.1007/s11749-012-0312-4 |