This article proposes a reweighted estimator of multivariate location and scatter, with weights adaptively computed from the data. Its breakdown point and asymptotic behavior under elliptical distributions are established. This adaptive estimator is able to attain simultaneously the maximum possible
The influence function of the Stahel–Donoho estimator of multivariate location and scatter
✍ Scribed by Daniel Gervini
- Publisher
- Elsevier Science
- Year
- 2002
- Tongue
- English
- Weight
- 176 KB
- Volume
- 60
- Category
- Article
- ISSN
- 0167-7152
No coin nor oath required. For personal study only.
✦ Synopsis
This article derives the in uence function of the Stahel-Donoho estimator of multivariate location and scatter for elliptical distributions. Local robustness and asymptotic relative e ciency are studied. The expressions obtained for the in uence functions coincide with those of one-step reweighted estimators.
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Using ideas and techniques from related disciplines frequently proves productive and often yields new insights and methods. In this paper, a method from experimental design is applied to the robust estimation of multivariate location and scatter. In particular, the procedure of determining discrete