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This paper establishes the first analytical formula for optimal nonlinear shrinkage of large-dimensional covariance matrices. We achieve this by identifying and mathematically exploiting a deep connection between nonlinear shrinkage and nonparametric estimation of the Hilbert transform of the...
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Statistical inferences for sample correlation matrices are important in high dimensional data analysis. Motivated by … sample correlation matrices for the case where the dimension <I>p</I> and the sample size <I>n</I> are comparable. This …
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