The Annals of Statistics
- Ann. Statist.
- Volume 36, Number 3 (2008), 1324-1345.
A general trimming approach to robust cluster Analysis
We introduce a new method for performing clustering with the aim of fitting clusters with different scatters and weights. It is designed by allowing to handle a proportion α 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 defined 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. Our proposal includes an algorithm for approximately solving the sample problem.
Ann. Statist., Volume 36, Number 3 (2008), 1324-1345.
First available in Project Euclid: 26 May 2008
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García-Escudero, Luis A.; Gordaliza, Alfonso; Matrán, Carlos; Mayo-Iscar, Agustin. A general trimming approach to robust cluster Analysis. Ann. Statist. 36 (2008), no. 3, 1324--1345. doi:10.1214/07-AOS515. https://projecteuclid.org/euclid.aos/1211819566