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Volumn 106, Issue , 2012, Pages 167-177

On sample eigenvalues in a generalized spiked population model

Author keywords

Central limit theorems; Extreme eigenvalues; Largest eigenvalue; Primary; Sample covariance matrices; Secondary; Spiked population model

Indexed keywords


EID: 84855813409     PISSN: 0047259X     EISSN: 10957243     Source Type: Journal    
DOI: 10.1016/j.jmva.2011.10.009     Document Type: Article
Times cited : (157)

References (17)
  • 1
    • 22044453079 scopus 로고    scopus 로고
    • No eigenvalues outside the support of the limiting spectral distribution of large dimensional sample covariance matrices
    • Bai Z.D., Silverstein J.W. No eigenvalues outside the support of the limiting spectral distribution of large dimensional sample covariance matrices. Ann. Probab. 1998, 26:316-345.
    • (1998) Ann. Probab. , vol.26 , pp. 316-345
    • Bai, Z.D.1    Silverstein, J.W.2
  • 2
    • 0033164056 scopus 로고    scopus 로고
    • Exact separation of eigenvalues of large dimensional sample covariance matrices
    • Bai Z.D., Silverstein J.W. Exact separation of eigenvalues of large dimensional sample covariance matrices. Ann. Probab. 1999, 27(3):1536-1555.
    • (1999) Ann. Probab. , vol.27 , Issue.3 , pp. 1536-1555
    • Bai, Z.D.1    Silverstein, J.W.2
  • 4
    • 63849341672 scopus 로고    scopus 로고
    • Central limit theorems for eigenvalues in a spiked population model
    • Bai Z.D., Yao J.F. Central limit theorems for eigenvalues in a spiked population model. Ann. Inst. H. Poincaré Probab. Statist. 2008, 44:447-474.
    • (2008) Ann. Inst. H. Poincaré Probab. Statist. , vol.44 , pp. 447-474
    • Bai, Z.D.1    Yao, J.F.2
  • 5
    • 33646507506 scopus 로고    scopus 로고
    • Eigenvalues of large sample covariance matrices of spiked population models
    • Baik J., Silverstein J.W. Eigenvalues of large sample covariance matrices of spiked population models. J. Multivariate. Anal. 2006, 97:1382-1408.
    • (2006) J. Multivariate. Anal. , vol.97 , pp. 1382-1408
    • Baik, J.1    Silverstein, J.W.2
  • 6
    • 27644476898 scopus 로고    scopus 로고
    • Phase transition of the largest eigenvalue for nonnull complex sample covariance matrices
    • Baik J., Ben Arous G., Péché S. Phase transition of the largest eigenvalue for nonnull complex sample covariance matrices. Ann. Probab. 2005, 33(5):1643-1697.
    • (2005) Ann. Probab. , vol.33 , Issue.5 , pp. 1643-1697
    • Baik, J.1    Ben Arous, G.2    Péché, S.3
  • 7
    • 77949542267 scopus 로고    scopus 로고
    • The eigenvalues and eigenvectors of finite, low rank perturbations of large random matrices
    • arxiv:0910.2120, Technical Report.
    • F. Benaych-Georges, N. Raj Rao, The eigenvalues and eigenvectors of finite, low rank perturbations of large random matrices, Technical Report, 2009, arxiv:0910.2120.
    • (2009)
    • Benaych-Georges, F.1    Raj Rao, N.2
  • 8
    • 79952697984 scopus 로고    scopus 로고
    • Fluctuations of the extreme eigenvalues of finite rank deformations of random matrices
    • Technical Report. arxiv:1009.0145
    • F. Benaych-Georges, A. Guionnet, M. Maïda, Fluctuations of the extreme eigenvalues of finite rank deformations of random matrices, Technical Report, 2010, arxiv:1009.0145.
    • (2010)
    • Benaych-Georges, F.1    Guionnet, A.2    Maïda, M.3
  • 9
    • 63049133332 scopus 로고    scopus 로고
    • The largest eigenvalues of finite rank deformation of large Wigner matrices: convergence and nonuniversality of the fluctuations
    • Capitaine Mireille, Donati-Martin Catherine, Féral Delphine The largest eigenvalues of finite rank deformation of large Wigner matrices: convergence and nonuniversality of the fluctuations. Ann. Probab. 2009, 37(1):1-47.
    • (2009) Ann. Probab. , vol.37 , Issue.1 , pp. 1-47
    • Capitaine, M.1    Donati-Martin, C.2    Féral, D.3
  • 10
    • 34248227713 scopus 로고    scopus 로고
    • The largest eigenvalue of rank one deformation of large Wigner matrices
    • Féral D., Péché S. The largest eigenvalue of rank one deformation of large Wigner matrices. Comm. Math. Phys. 2007, 272(1):185-228.
    • (2007) Comm. Math. Phys. , vol.272 , Issue.1 , pp. 185-228
    • Féral, D.1    Péché, S.2
  • 11
    • 0035641726 scopus 로고    scopus 로고
    • On the distribution of the largest eigenvalue in principal components analysis
    • Johnstone I. On the distribution of the largest eigenvalue in principal components analysis. Ann. Statistics 2001, 29(2):295-327.
    • (2001) Ann. Statistics , vol.29 , Issue.2 , pp. 295-327
    • Johnstone, I.1
  • 12
    • 0000263234 scopus 로고
    • Distribution of eigenvalues for some sets of random matrices
    • Marčenko V.A., Pastur L.A. Distribution of eigenvalues for some sets of random matrices. Math. USSR-Sb 1967, 1:457-483.
    • (1967) Math. USSR-Sb , vol.1 , pp. 457-483
    • Marčenko, V.A.1    Pastur, L.A.2
  • 13
    • 84856666815 scopus 로고    scopus 로고
    • Asymptotics of the principal components estimator of large factor models with weak factors
    • Alexei Onatski, Technical Report, Columbia University.
    • Alexei Onatski, Asymptotics of the principal components estimator of large factor models with weak factors, Technical Report, Columbia University, 2005.
    • (2005)
  • 14
    • 38549175880 scopus 로고    scopus 로고
    • Asymptotics of sample eigenstruture for a large dimensional spiked covariance mode
    • Paul Debashis Asymptotics of sample eigenstruture for a large dimensional spiked covariance mode. Statistica Sinica 2007, 17:1617-1642.
    • (2007) Statistica Sinica , vol.17 , pp. 1617-1642
    • Paul, D.1
  • 15
    • 28144463102 scopus 로고    scopus 로고
    • The largest eigenvalue of small rank perturbations of Hermitian random matrices
    • Péché S. The largest eigenvalue of small rank perturbations of Hermitian random matrices. Probab. Theory Related Fields 2006, 134(1):127-173.
    • (2006) Probab. Theory Related Fields , vol.134 , Issue.1 , pp. 127-173
    • Péché, S.1
  • 16
    • 0002627253 scopus 로고
    • Strong convergence of the empirical distribution of eigenvalues of large-dimensional random matrices
    • Silverstein Jack W. Strong convergence of the empirical distribution of eigenvalues of large-dimensional random matrices. J. Multivariate Anal. 1995, 55(2):331-339.
    • (1995) J. Multivariate Anal. , vol.55 , Issue.2 , pp. 331-339
    • Silverstein, J.W.1
  • 17
    • 58149320175 scopus 로고
    • Analysis of the limiting spectral distribution of large-dimensional random matrices
    • Silverstein Jack W., Choi Sang-Il Analysis of the limiting spectral distribution of large-dimensional random matrices. J. Multivariate Anal. 1995, 54(2):295-309.
    • (1995) J. Multivariate Anal. , vol.54 , Issue.2 , pp. 295-309
    • Silverstein, J.W.1    Choi, S.-I.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.