Robust estimation of multivariate location and scatter in the presence of cellwise and casewise contamination

Multivariate location and scatter matrix estimation is a cornerstone in multivariate data analysis. We consider this problem when the data may contain independent cellwise and casewise outliers. Flat data sets with a large number of variables and a relatively small number of cases are common place i...

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Autores principales: Agostinelli, C., Leung, A., Yohai, V.J., Zamar, R.H.
Formato: JOUR
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Acceso en línea:http://hdl.handle.net/20.500.12110/paper_11330686_v24_n3_p441_Agostinelli
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Sumario:Multivariate location and scatter matrix estimation is a cornerstone in multivariate data analysis. We consider this problem when the data may contain independent cellwise and casewise outliers. Flat data sets with a large number of variables and a relatively small number of cases are common place in modern statistical applications. In these cases, global down-weighting of an entire case, as performed by traditional robust procedures, may lead to poor results. We highlight the need for a new generation of robust estimators that can efficiently deal with cellwise outliers and at the same time show good performance under casewise outliers. © 2015, Sociedad de Estadística e Investigación Operativa.