<p>Shrinkage of the eigenvalues of the MAP of the covariance matrix as <i>r</i> = <i>α</i>. When <i>n</i> < <i>p</i>, all eigenvalues increase when <i>r</i> is small but when <i>r</i> increases, the increment gets more moderate (black lines). When <i>n</i> increases, shrunken eigenvalues get closer to the sample eigenvalues and the growth of <i>r</i> does not significantly affect the estimated eigenvalues (red lines). When <i>n</i> ≫ <i>p</i>, estimated eigenvalues start to coincide to the sample eigenvalues (blue lines).</p
<p>Eigenvalues of the </p><p></p><p></p><p></p><p></p><p><mi>ϑ</mi></p><p><mo></mo><mi>τ</mi></p><mo...
<p>(A) Eigenvalue distribution of an example population covariance matrix () computed from the van ...
Abstract—Covariance matrix estimates are an essential part of many signal processing algorithms, and...
<p>Shrinkage of the eigenvalues of the MAP of the covariance matrix, as <i>r</i> is fixed and <i>α</...
<p>The largest eigenvalue of MAP (black line), ML-estimate (blue line), posterior mean (purple line)...
The concept of shrinkage, as (1) a statistical phenomenon of estimator bias, and (2) a reduction in...
Under rotation-equivariant decision theory, sample covariance matrix eigenvalues can be optimally sh...
This paper constructs a new estimator for large covariance matrices by drawing a bridge between the ...
<p>Eigenvalues of the principal components demonstrate an abrupt drop near the 20<sup>th</sup> princ...
Three methods for estimating the eigenvalues of the parameter covariance matrix in a Wishart distrib...
Many statistical applications require an estimate of a covariance matrix and/or its inverse. When th...
<p>Note that prior to parameter reduction there is a substantial fraction of eigenvalues which mean...
Integrated covariance matrices arise in intra-day models of asset returns, which allow volatility to...
The first eigenvalue of a correlation matrix indicates the maximum amount of the variance of the var...
<p>In contrast to the case of no back mutation in <a href="http://www.ploscompbiol.org/article/info:...
<p>Eigenvalues of the </p><p></p><p></p><p></p><p></p><p><mi>ϑ</mi></p><p><mo></mo><mi>τ</mi></p><mo...
<p>(A) Eigenvalue distribution of an example population covariance matrix () computed from the van ...
Abstract—Covariance matrix estimates are an essential part of many signal processing algorithms, and...
<p>Shrinkage of the eigenvalues of the MAP of the covariance matrix, as <i>r</i> is fixed and <i>α</...
<p>The largest eigenvalue of MAP (black line), ML-estimate (blue line), posterior mean (purple line)...
The concept of shrinkage, as (1) a statistical phenomenon of estimator bias, and (2) a reduction in...
Under rotation-equivariant decision theory, sample covariance matrix eigenvalues can be optimally sh...
This paper constructs a new estimator for large covariance matrices by drawing a bridge between the ...
<p>Eigenvalues of the principal components demonstrate an abrupt drop near the 20<sup>th</sup> princ...
Three methods for estimating the eigenvalues of the parameter covariance matrix in a Wishart distrib...
Many statistical applications require an estimate of a covariance matrix and/or its inverse. When th...
<p>Note that prior to parameter reduction there is a substantial fraction of eigenvalues which mean...
Integrated covariance matrices arise in intra-day models of asset returns, which allow volatility to...
The first eigenvalue of a correlation matrix indicates the maximum amount of the variance of the var...
<p>In contrast to the case of no back mutation in <a href="http://www.ploscompbiol.org/article/info:...
<p>Eigenvalues of the </p><p></p><p></p><p></p><p></p><p><mi>ϑ</mi></p><p><mo></mo><mi>τ</mi></p><mo...
<p>(A) Eigenvalue distribution of an example population covariance matrix () computed from the van ...
Abstract—Covariance matrix estimates are an essential part of many signal processing algorithms, and...