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Spectral analysis of large dimensional random matrices
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| Auteurs principaux : | , |
|---|---|
| Format : | Livre |
| Langue : | anglais |
| Titre complet : | Spectral analysis of large dimensional random matrices / Zhidong Bai, Jack W. Silverstein |
| Édition : | 2nd edition |
| Publié : |
New York, Heidelberg, London [etc.] :
Springer
, cop. 2010 |
| Description matérielle : | 1 vol. (XVI- 551 p.) |
| Collection : | Springer series in statistics |
| Sujets : |
- 1. Introduction
- 2. Wigner matrices and semicircular law
- 3. sample covariance matrices and the Marcenko-Pastur law
- 4. Product of two matrices
- 5. Limits of extreme eigenvalues
- 6. Spectral separation
- 7. Semicircular law for Hadamard products
- 8. Convergence rates of ESD
- 9. CLT for linear spectral statistics
- 10. Eigenvectors of sample covariance matrices
- 11. Circular law
- 12. Some applications of RMT
- A. Some results in linear algebra
- B. Miscellanies