Article (Scientific journals)
On the breakdown behavior of TCLUST clustering procedure
Ruwet, Christel; Garcia-Escudero, Luis Angel; Gordaliza, Alfonso et al.
2013In TEST, 22 (3), p. 466-487
Peer reviewed
 

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Keywords :
Breakdown point; Clustering; Robustness; TCLUST; Trimming
Abstract :
[en] 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 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 of contamination equal to the trimming rate as soon as the data set is sufficiently "well clustered".
Disciplines :
Mathematics
Author, co-author :
Ruwet, Christel ;  Université de Liège - ULiège > Département de mathématique > Statistique mathématique
Garcia-Escudero, Luis Angel;  Universidad de Valladolid > Departamento de estadística e investigación operativa
Gordaliza, Alfonso;  Universidad de Valladolid > Departamento de estadística e investigación operativa
Mayo-Iscar, Agustin;  Universidad de Valladolid > Departamento de estadística e investigación operativa
Language :
English
Title :
On the breakdown behavior of TCLUST clustering procedure
Publication date :
August 2013
Journal title :
TEST
ISSN :
1133-0686
eISSN :
1863-8260
Publisher :
Springer, Heidelberg, Germany
Volume :
22
Issue :
3
Pages :
466-487
Peer reviewed :
Peer reviewed
Funders :
The Spanish Ministerio de Ciencia y Tecnología and the FEDER grant MTM2011-28657-C02-01
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