Some robust estimates of principal components
β 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.
β¦ 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.
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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
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