PhilBoileau / cvCovEst

An R package for assumption-lean covariance matrix estimation in high dimensions
https://philboileau.github.io/cvCovEst/
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Spiked Covariance Model Estimators #64

Closed PhilBoileau closed 2 years ago

PhilBoileau commented 2 years ago

This PR adds three new shrinkage estimators derived specifically for use in Gaussian spiked covariance models, addressing issue #63. These are the spikedOperatorShrinkEst(), the spikedFrobeniusShrinkEst() and the spikedSteinShrinkEst(). They provide the asymptotically optimal shrinkage of the sample covariance matrix eigenvalues with respect to the operator, Frobenius and Stein losses, respectively, in Gaussian spiked covariance models.