Reference : On the breakdown behavior of TCLUST clustering procedure
Scientific journals : Article
Physical, chemical, mathematical & earth Sciences : Mathematics
http://hdl.handle.net/2268/104215
On the breakdown behavior of TCLUST clustering procedure
English
Ruwet, Christel mailto [Université de Liège - ULg > Département de mathématique > Statistique mathématique >]
Garcia-Escudero, Luis Angel mailto [Universidad de Valladolid > Departamento de estadística e investigación operativa > > >]
Gordaliza, Alfonso mailto [Universidad de Valladolid > Departamento de estadística e investigación operativa > > >]
Mayo-Iscar, Agustin mailto [Universidad de Valladolid > Departamento de estadística e investigación operativa > > >]
Aug-2013
Test
22
3
466-487
Yes (verified by ORBi)
International
1133-0686
1863-8260
Spain
[en] Breakdown point ; Clustering ; Robustness ; TCLUST ; Trimming
[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".
The Spanish Ministerio de Ciencia y Tecnolog\'{i}a and the FEDER grant MTM2011-28657-C02-01
http://hdl.handle.net/2268/104215
10.1007/s11749-012-0312-4
The final publication is available at www.springerlink.com

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