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Robust shrinkage estimation of high-dimensional covariance matrices

Robust shrinkage estimation of high-dimensional covariance matrices

Abstract-We address high dimensional covariance estimation for elliptical distributed samples. Specifically we consider shrinkage methods that are suitable for high dimensional problems with a small number of samples (large p small n). We start from a classical robust covariance estimator [Tyler(1987)], which is distribution-free within the family of elliptical distribution …