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Volumn 23, Issue 1, 2010, Pages 1-20

Almost sure limit of the smallest eigenvalue of some sample correlation matrices

Author keywords

Random matrix; Sample correlation coefficient matrix; Sample covariance matrix; Smallest eigenvalue

Indexed keywords


EID: 75749144554     PISSN: 08949840     EISSN: 15729230     Source Type: Journal    
DOI: 10.1007/s10959-009-0270-2     Document Type: Article
Times cited : (15)

References (9)
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    • (2004) Ann. Probab. , vol.32 , pp. 553-605
    • Bai, Z.D.1    Silverstein, J.W.2
  • 2
    • 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. 26, 316-345 (1998).
    • (1998) Ann. Probab. , vol.26 , pp. 316-345
    • Bai, Z.D.1    Silverstein, J.W.2
  • 4
    • 0001758959 scopus 로고
    • Limit of the smallest eigenvalue of large dimensional covariance matrix
    • Bai, Z. D., Yin, Y. Q.: Limit of the smallest eigenvalue of large dimensional covariance matrix. Ann. Probab. 21, 1275-1294 (1993).
    • (1993) Ann. Probab. , vol.21 , pp. 1275-1294
    • Bai, Z.D.1    Yin, Y.Q.2
  • 6
    • 47849095724 scopus 로고    scopus 로고
    • The limiting distributions of eigenvalues of sample correlation matrices
    • Jiang, T.: The limiting distributions of eigenvalues of sample correlation matrices. Sankhyā 66, 35-48 (2004).
    • (2004) Sankhyā , vol.66 , pp. 35-48
    • Jiang, T.1
  • 7
    • 0003981320 scopus 로고
    • 3rd edn., Princeton: Van Nostrand
    • Loève, M.: Probability Theory, 3rd edn. van Nostrand, Princeton (1963).
    • (1963) Probability Theory
    • Loève, M.1
  • 8
    • 0000602132 scopus 로고
    • On the empirical distribution of eigenvalues of a class of large dimensional random matrices
    • Silverstein, J. W., Bai, Z. D.: On the empirical distribution of eigenvalues of a class of large dimensional random matrices. J. Multivar. Anal. 54, 175-192 (1995).
    • (1995) J. Multivar. Anal. , vol.54 , pp. 175-192
    • Silverstein, J.W.1    Bai, Z.D.2
  • 9
    • 0001136512 scopus 로고
    • On the limit of the largest eigenvalue of the large dimensional sample covariance matrix
    • Yin, Y. Q., Bai, Z. D., Krishnaiah, P. R.: On the limit of the largest eigenvalue of the large dimensional sample covariance matrix. Probab. Theory Relat. Fields 78, 509-521 (1988).
    • (1988) Probab. Theory Relat. Fields , vol.78 , pp. 509-521
    • Yin, Y.Q.1    Bai, Z.D.2    Krishnaiah, P.R.3


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.