A general trimming approach to robust cluster analysis
Verlag: Comité organizador del XXX Congreso Nacional de Estadística e Investigación Operativa y IV Jornadas de Estadística Pública
ISBN: 978-84-690-7249-3
Datum der Publikation: 2007
Kongress: Congreso Nacional de Estadística e Investigación Operativa (30. 2007. Valladolid)
Art: Konferenz-Beitrag
Zusammenfassung
We introduce a new method for performing clustering with the aim of ¯tting clusters with di®erent scatters and weights. It is designed by allowing to handle a proportion ® of contaminating data to guarantee the robustness of the method. As a characteristic feature, restrictions on the ratio between the maximum and the minimum eigenvalues of the groups scatter matrices are introduced. This makes the problem to be well-de¯ned and guarantees the consistency of the sample solutions to the population ones. The method covers a wide range of clustering approaches depending on the strength of the chosen restrictions. The proposal includes an algorithm (the TCLUST method) for approximately solving the sample problem.