How close is the sample covariance matrix to the actual covariance matrix?
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Publication:715740
DOI10.1007/s10959-010-0338-zzbMath1365.62208arXiv1004.3484OpenAlexW2094644779MaRDI QIDQ715740
Publication date: 1 November 2012
Published in: Journal of Theoretical Probability (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1004.3484
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Cites Work
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- Sharp bounds on the rate of convergence of the empirical covariance matrix
- Limit of the smallest eigenvalue of a large dimensional sample covariance matrix
- Partial estimation of covariance matrices
- Approximating the moments of marginals of high-dimensional distributions
- Spectral norm of products of random and deterministic matrices
- Concentration of mass on convex bodies
- Optimization of a convex program with a polynomial perturbation
- Asymptotic theory of finite dimensional normed spaces. With an appendix by M. Gromov: Isoperimetric inequalities in Riemannian manifolds
- Random vectors in the isotropic position
- Frame expansions with erasures: an approach through the non-commutative operator theory
- Weak convergence and empirical processes. With applications to statistics
- Non-asymptotic theory of random matrices: extreme singular values
- Sampling convex bodies: a random matrix approach
- Quantitative estimates of the convergence of the empirical covariance matrix in log-concave ensembles
- Random walks and anO*(n5) volume algorithm for convex bodies
- The Expected Norm of Random Matrices
- Some estimates of norms of random matrices
- Generalized Thresholding of Large Covariance Matrices
- RANDOM POINTS IN ISOTROPIC UNCONDITIONAL CONVEX BODIES
