Asymptotics of Reweighted Estimators of Multivariate Location and Scatter

We investigate the asymptotic behavior of a weighted sample mean and covariance, where the weights are determined by the Mahalanobis distances with respect to initial robust estimators. We derive an explicit expansion for the weighted estimators. From this expansion it can be seen that reweighting d...

Ausführliche Beschreibung

Bibliographische Detailangaben
Veröffentlicht in:The Annals of Statistics. - Institute of Mathematical Statistics. - 27(1999), 5, Seite 1638-1665
1. Verfasser: Lopuhaa, Hendrik P. (VerfasserIn)
Format: Online-Aufsatz
Sprache:English
Veröffentlicht: 1999
Zugriff auf das übergeordnete Werk:The Annals of Statistics
Schlagworte:Robust Estimation of Multivariate Location and Covariance Reweighted Least Squares Application of Empirical Process Theory Mathematics Behavioral sciences