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Spiked sample covariance matrices with possibly multiple bulk components

Probability 2020-01-01 v3

Abstract

In this paper, we study the convergent limits and rates of the eigenvalues and eigenvectors for spiked sample covariance matrices whose spectrum can have multiple bulk components. Our model is an extension of Johnstone's spiked covariance matrix model. Based on our results, we can extend many statistical applications based on Johnstone's spiked covariance matrix model.

Keywords

Cite

@article{arxiv.1708.06296,
  title  = {Spiked sample covariance matrices with possibly multiple bulk components},
  author = {Xiucai Ding},
  journal= {arXiv preprint arXiv:1708.06296},
  year   = {2020}
}
R2 v1 2026-06-22T21:19:44.495Z