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Volumn 1, Issue 1, 2012, Pages

No Eigenvalues Outside the Support of the Limiting Spectral Distribution of Information-Plus-Noise Type Matrices

Author keywords

Empirical spectral distribution; information plus noise model; Stieltjes transform

Indexed keywords


EID: 84879217849     PISSN: 20103263     EISSN: 20103271     Source Type: Journal    
DOI: 10.1142/S2010326311500043     Document Type: Article
Times cited : (31)

References (17)
  • 1
    • 22044453079 scopus 로고    scopus 로고
    • No eigenvalues outside the support of the limiting spectral distribution of large-dimensional sample covariance matrices
    • Z. D. Bai and J. W. Silverstein, No eigenvalues outside the support of the limiting spectral distribution of large-dimensional sample covariance matrices, Ann. Probab. 26 (1998) 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
    • Z. D. Bai and J. W. Silverstein, Exact separation of eigenvalues of large dimensional sample covariance matrices, Ann. Probab. 27(3) (1999) 1536-1555.
    • (1999) Ann Probab. , vol.27 , Issue.3 , pp. 1536-1555
    • Bai, Z.D.1    Silverstein, J.W.2
  • 5
    • 0002455942 scopus 로고
    • Distribution function inequalities for martingals
    • D. L. Burkholder, Distribution function inequalities for martingals, Ann. Probab. 1 (1973) 19-42.
    • (1973) Ann. Probab. , vol.1 , pp. 19-42
    • Burkholder, D.L.1
  • 6
    • 63049133332 scopus 로고    scopus 로고
    • The largest eigenvalue of finite rank deformation of large Wigner matrices: Convergence and non-universality of the fluctuations
    • M. Capitaine, C. Donati-Martin and D. Féral, The largest eigenvalue of finite rank deformation of large Wigner matrices: Convergence and non-universality of the fluctuations, Ann. Probab. 37(1) (2009), 147 pp.
    • (2009) Ann. Probab. , vol.37 , Issue.1 , pp. 147
    • Capitaine, M.1    Donati-Martin, C.2    Féral, D.3
  • 8
    • 33846999295 scopus 로고    scopus 로고
    • On the empirical distribution of eigenvalues of large dimensional information-plus-noise type matrices
    • R. B. Dozier and J. W. Silverstein, On the empirical distribution of eigenvalues of large dimensional information-plus-noise type matrices, J. Multivariate Anal. 98(4) (2007) 678-694.
    • (2007) J. Multivariate Anal. , vol.98 , Issue.4 , pp. 678-694
    • Dozier, R.B.1    Silverstein, J.W.2
  • 9
    • 34047246348 scopus 로고    scopus 로고
    • Analysis of the limiting spectral distribution of large dimensional information-plus-noise type matrices
    • R. B. Dozier and J. W. Silverstein, Analysis of the limiting spectral distribution of large dimensional information-plus-noise type matrices, J. Multivariate Anal. 98(6) (2007) 1099-1122.
    • (2007) J. Multivariate Anal. , vol.98 , Issue.6 , pp. 1099-1122
    • Dozier, R.B.1    Silverstein, J.W.2
  • 10
    • 33747181901 scopus 로고    scopus 로고
    • A random matrix approach to the lack of projections in Cred(F2)
    • U. Haagerup, H. Schultz and S. Thorbjørnsen, A random matrix approach to the lack of projections in Cred(F2), Adv. Math. 204 (2006) 1-83.
    • (2006) Adv. Math. , vol.204 , pp. 1-83
    • Haagerup, U.1    Schultz, H.2    Thorbjørnsen, S.3
  • 13
    • 55049106385 scopus 로고    scopus 로고
    • No eigenvalues outside the support of the limiting empirical spectral distribution of a separable covariance matrix
    • D. Paul and J. W. Silverstein, No eigenvalues outside the support of the limiting empirical spectral distribution of a separable covariance matrix, J. Multivariate Anal. 100(1) (2009) 37-57.
    • (2009) J. Multivariate Anal. , vol.100 , Issue.1 , pp. 37-57
    • Paul, D.1    Silverstein, J.W.2
  • 17
    • 58849106418 scopus 로고    scopus 로고
    • On the trace inequality for products of Hermitian matrix power
    • Z. P. Yang and X. X. Feng, On the trace inequality for products of Hermitian matrix power, J. Inequalities Pure Appl. Math. 3(5) (2002) Article 78.
    • (2002) J Inequalities Pure Appl. Math. , vol.3 , Issue.5
    • Yang, Z.P.1    Feng, X.X.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.