Spiked sample covariance matrices with possibly multiple bulk components

Xiucai Ding

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arXiv · 1708.06296

Spiked sample covariance matrices with possibly multiple bulk components

Xiucai Ding

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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.

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Xiucai Ding. 2017-08-21. Spiked sample covariance matrices with possibly multiple bulk components. https://arxiv.org/abs/1708.06296

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