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The MENS attains the robustness of rank-based estimation and the efficiency of nonlinear shrinkage at once within this class, and delivers a better-conditioned covariance estimate, lower realized portfolio volatility, and lower turnover than linear shrinkage in an out-of-sample minimum-variance backtest on S&P 500 stoc...
We study estimation of the p*p residual scatter (shape) matrix in a high-dimensional multivariate linear regression, where p and n grow proportionally. When the coefficient matrix obeys a known linear restriction of rank q<d, as in multivariate analysis of variance, growth-curve models, and reduced-rank regression, the...
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