Title | Robust estimation of multivariate location and scatter in the presence of cellwise and casewise contamination |
Publication Type | Journal Article |
Year of Publication | 2015 |
Authors | Agostinelli, C, Leung, A, Yohai, VJ, Zamar, RH |
Journal | TEST |
Volume | 24 |
Pagination | 441-461 |
Date Published | SEP |
Type of Article | Article |
ISSN | 1133-0686 |
Keywords | Cellwise contamination, Multivariate data analysis, Multivariate location and scatter, Robust estimation |
Abstract | 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. |
DOI | 10.1007/s11749-015-0450-6 |