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Contribution Details

Type Journal Article
Scope Discipline-based scholarship
Title R-NL: covariance matrix estimation for elliptical distributions based on nonlinear shrinkage
Organization Unit
Authors
  • Simon Hediger
  • Jeffrey Näf
  • Michael Wolf
Item Subtype Original Work
Refereed Yes
Status Published in final form
Language
  • English
Journal Title IEEE Transactions on Signal Processing
Publisher Institute of Electrical and Electronics Engineers
Geographical Reach international
ISSN 1053-587X
Volume 71
Page Range 1657 - 1668
Date 2023
Abstract Text We combine Tyler's robust estimator of the dispersion matrix with nonlinear shrinkage. This approach delivers a simple and fast estimator of the dispersion matrix in elliptical models that is robust against both heavy tails and high dimensions. We prove convergence of the iterative part of our algorithm and demonstrate the favorable performance of the estimator in a wide range of simulation scenarios. Finally, an empirical application demonstrates its state-of-the-art performance on real data.
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Digital Object Identifier 10.1109/tsp.2023.3270742
Other Identification Number merlin-id:24299
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Keywords Electrical and electronic engineering, signal processing, heavy tails, nonlinear shrinkage, portfolio optimization
Additional Information Auch publiziert bei ArXiv.org (10.48550/arXiv.2210.14854).