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Robust signal dimension estimation via SURE

Statistics Theory 2022-03-31 v1 Statistics Theory

Abstract

The estimation of signal dimension under heavy-tailed latent factor models is studied. As a primary contribution, robust extensions of an earlier estimator based on Gaussian Stein's unbiased risk estimation are proposed. These novel extensions are based on the framework of elliptical distributions and robust scatter matrices. Extensive simulation studies are conducted in order to compare the novel methods with several well-known competitors in both estimation accuracy and computational speed. The novel methods are applied to a financial asset return data set.

Keywords

Cite

@article{arxiv.2203.16233,
  title  = {Robust signal dimension estimation via SURE},
  author = {Joni Virta and Niko Lietzen and Henri Nyberg},
  journal= {arXiv preprint arXiv:2203.16233},
  year   = {2022}
}

Comments

29 pages, 5 figures

R2 v1 2026-06-24T10:31:39.451Z