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Statistics of spectral properties of matrix-valued random variables.

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Lower bound for expectation of minimum eigenvalue

Let $X$ be a random (symmetric) matrix drawn from an unknown distribution. I have an estimate of $\lambda_{\min}(\mathbf{E}[X])$. Specifically, I have $$\lambda_{\min}(\mathbf{E}[X]) \geq c$$ a consta …
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