𝔖 Bobbio Scriptorium
✦   LIBER   ✦

Some robust estimates of principal components

✍ Scribed by John I. Marden


Publisher
Elsevier Science
Year
1999
Tongue
English
Weight
161 KB
Volume
43
Category
Article
ISSN
0167-7152

No coin nor oath required. For personal study only.

✦ Synopsis


Robust estimates of principal components are developed using appropriate deΓΏnitions of multivariate signs and ranks. Simulations and a data example are used to compare these methods to the regular method and one based on the minimum-volume-ellipsoid estimate of the covariance matrix. The sign and rank procedures are quite robust unless there is severe contamination, in which case the minimum-volume-ellipsoid estimate is preferable.


πŸ“œ SIMILAR VOLUMES


Robust principal components regression b
✍ M.H. Zhang; Q.S. Xu; D.L. Massart πŸ“‚ Article πŸ“… 2003 πŸ› Elsevier Science 🌐 English βš– 438 KB

A robust method called robust principal components regression based on principal sensitivity vectors (RPPSV) is developed for outlier detection in regression. The method is evaluated by its outlier detection ability and the root mean square error of prediction (RMSEP) for a test set using simulated

A Class of Robust Principal Component Ve
✍ Hidehiko Kamiya; Shinto Eguchi πŸ“‚ Article πŸ“… 2001 πŸ› Elsevier Science 🌐 English βš– 293 KB

This paper is concerned with a study of robust estimation in principal component analysis. A class of robust estimators which are characterized as eigenvectors of weighted sample covariance matrices is proposed, where the weight functions recursively depend on the eigenvectors themselves. Also, a fe