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Statistics of spectral properties of matrix-valued random variables.

3 votes
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Concentration inequality for the sample covariance matrix

A variant of this (taking $\frac1m$ instead of $\frac1{m-1}$ for the empirical covariance) is answered on Proposition 2.6, page 10 of https://arxiv.org/pdf/2110.06357.pdf .
Uzu Lim's user avatar
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3 votes
1 answer
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Concentration inequality for the sample covariance matrix

I'd like to know if there is a concentration inequality for the sample covariance matrix that don't assume the knowledge of the true mean. Background. Given a probability distribution $\mu$ on $\math …
Uzu Lim's user avatar
  • 903