Impartial trimmed k-means for functional data

Authors:
Juan Antonio Cuesta-Albertos;Ricardo Fraiman
Affiliations:
Departamento de Matemáticas, Estadística y Computación, Universidad de Cantabria, Spain;Departamento de Matemáticas, Universidad de San Andrés, Argentina and Centro de Matemática, Universidad de la República, Uruguay
Venue:
Computational Statistics & Data Analysis
Year:
2007

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Abstract

A robust cluster procedure for functional data is introduced. It is based on the notion of impartial trimming. Existence and consistency results are obtained. Furthermore, a feasible algorithm is proposed and implemented in a real data example, where patterns of electrical power consumers are observed.