Reference : The influence function of the TCLUST robust clustering procedure
Scientific journals : Article
Physical, chemical, mathematical & earth Sciences : Mathematics
The influence function of the TCLUST robust clustering procedure
Ruwet, Christel mailto [Université de Liège - ULiège > Département de mathématique > Statistique mathématique >]
García-Escudero, Luis Angel mailto [Universidad deValladolid - UVa > > > >]
Gordaliza, Alfonso mailto [Universidad deValladolid - UVa > > > >]
Mayo-Iscar, Agustin mailto [Universidad deValladolid - UVa > > > >]
Advances in Data Analysis and Classification
Yes (verified by ORBi)
[en] Heterogeneous Clustering ; Influence function ; Robustness ; Trimmin
[en] The TCLUST procedure performs robust
clustering with the aim of finding clusters with different scatter
structures and proportions. An Eigenvalue Ratio constraint is considered by TCLUST in order to avoid finding spurious clusters. In order to guarantee the robustness of the method against the presence
of outliers and background noise, the method allows for trimming of a
given proportion of observations self determined by the data.
This article studies robustness properties of the TCLUST procedure
by means of the influence function, obtaining a robustness behavior
close to that of the trimmed k-means.
Spanish Ministerio de Ciencia e Innovación ; Communauté française de Belgique - CfB
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