Lower bounds on the smallest eigenvalue of a sample covariance matrix.
暂无分享,去创建一个
We provide tight lower bounds on the smallest eigenvalue of a sample covariance matrix of a centred isotropic random vector under weak or no assumptions on its components.
[1] B. S. Kašin,et al. DIAMETERS OF SOME FINITE-DIMENSIONAL SETS AND CLASSES OF SMOOTH FUNCTIONS , 1977 .
[2] V. Koltchinskii,et al. Bounding the smallest singular value of a random matrix without concentration , 2013, 1312.3580.
[3] Roberto Imbuzeiro Oliveira,et al. The lower tail of random quadratic forms with applications to ordinary least squares , 2013, ArXiv.
[4] R. Vershynin,et al. Covariance estimation for distributions with 2+ε moments , 2011, 1106.2775.