Tracy-Widom limit for the largest eigenvalue of high-dimensional covariance matrices in elliptical distributions
DOI10.3150/21-BEJ1443OpenAlexW4293494105WikidataQ114038736 ScholiaQ114038736MaRDI QIDQ2676949
Xie Jiahui, Wen Jun, Zhou Wang, Yu Long
Publication date: 28 September 2022
Published in: Bernoulli (Search for Journal in Brave)
Full work available at URL: https://projecteuclid.org/journals/bernoulli/volume-28/issue-4/Tracy-Widom-limit-for-the-largest-eigenvalue-of-high-dimensional/10.3150/21-BEJ1443.full
tail probabilityelliptical distributionsTracy-Widom distributionsample covariance matricesedge universality
Multivariate analysis (62Hxx) Probability theory on algebraic and topological structures (60Bxx) Special matrices (15Bxx)
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Cites Work
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- Averaging fluctuations in resolvents of random band matrices
- Rigidity of eigenvalues of generalized Wigner matrices
- Anisotropic local laws for random matrices
- Multivariate analysis and Jacobi ensembles: largest eigenvalue, Tracy-Widom limits and rates of convergence
- Spectral analysis of large dimensional random matrices
- Concentration of measure and spectra of random matrices: applications to correlation matrices, elliptical distributions and beyond
- Level-spacing distributions and the Airy kernel
- A note on universality of the distribution of the largest eigenvalues in certain sample covariance matrices
- A necessary and sufficient condition for edge universality at the largest singular values of covariance matrices
- High-dimensional covariance matrices in elliptical distributions with application to spherical test
- On the distribution of the largest eigenvalue in principal components analysis
- Bulk universality for generalized Wigner matrices
- Distributed linear regression by averaging
- Universality for the largest eigenvalue of sample covariance matrices with general population
- Optimal estimation and rank detection for sparse spiked covariance matrices
- Tracy-Widom limit for the largest eigenvalue of a large class of complex sample covariance matrices
- The Tracy-Widom limit for the largest eigenvalues of singular complex Wishart matrices
- A necessary and sufficient condition for edge universality of Wigner matrices
- Universality of covariance matrices
- Testing high-dimensional covariance matrices under the elliptical distribution and beyond
- Universality of Wigner random matrices: a survey of recent results
- Testing Hypotheses About the Number of Factors in Large Factor Models
- On Structure Testing for Component Covariance Matrices of a High Dimensional Mixture
- Central Limit Theorem for Mutual Information of Large MIMO Systems With Elliptically Correlated Channels
- Roy’s largest root test under rank-one alternatives
- Determining the Number of Factors in Approximate Factor Models
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