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Volumn , Issue , 2011, Pages 423-458

Asymptotic distribution of the smallest eigenvalue of wishart(N, n) when N, n →∞such that N/n → 0

Author keywords

[No Author keywords available]

Indexed keywords

ASYMPTOTIC DISTRIBUTIONS; GAUSSIANS; HERMITIANS; N-MATRIX; SMALLEST EIGENVALUE; WISHART;

EID: 84974588248     PISSN: None     EISSN: None     Source Type: Book    
DOI: 10.1142/9789814366571_0022     Document Type: Chapter
Times cited : (2)

References (21)
  • 1
    • 27644476898 scopus 로고    scopus 로고
    • Phase transition of the largest eigenvalue for non-null complex covariance matrices
    • Baik, J., Ben Arous, G. And Peche, S. (2005). Phase transition of the largest eigenvalue for non-null complex covariance matrices, Annals of Probability, 33, 1643-1697.
    • (2005) Annals of Probability , vol.33 , pp. 1643-1697
    • Baik, J.1    Ben Arous, G.2    Peche, S.3
  • 2
    • 0032563047 scopus 로고    scopus 로고
    • Random matrix ensembles with an effective external charge
    • Baker, T. H., Forrester, P. J. And Pearce, P. A. (1998). Random matrix ensembles with an effective external charge, Journal of Physics A, 31, 6087-6101.
    • (1998) Journal of Physics A , vol.31 , pp. 6087-6101
    • Baker, T.H.1    Forrester, P.J.2    Pearce, P.A.3
  • 4
    • 33947507043 scopus 로고    scopus 로고
    • A rate of convergence result for the largest eigenvalue of complex white Wishart matrices
    • El Karoui, N. (2005). A rate of convergence result for the largest eigenvalue of complex white Wishart matrices, Annals of Probability, 34, 2077-2117.
    • (2005) Annals of Probability , vol.34 , pp. 2077-2117
    • El Karoui, N.1
  • 6
    • 0035641726 scopus 로고    scopus 로고
    • On the distribution of the largest principal component
    • Johnstone, I. M. (2001). On the distribution of the largest principal component, Annals of Statistics, 29, 295-327.
    • (2001) Annals of Statistics , vol.29 , pp. 295-327
    • Johnstone, I.M.1
  • 7
    • 77952660905 scopus 로고    scopus 로고
    • Accuracy of the Tracy-Widom limit for the largest eigenvalue in white Wishart matrices
    • Stanford University
    • Ma, Z. (2008). Accuracy of the Tracy-Widom limit for the largest eigenvalue in white Wishart matrices, Technical Report, Stanford University.
    • (2008) Technical Report
    • Ma, Z.1
  • 11
    • 0009621320 scopus 로고
    • Whittaker functions with both parameter large: Uniform asymptotic expansions in terms of parabolic cylinder functions
    • Olver, F. W. J. (1980). Whittaker functions with both parameter large: uniform asymptotic expansions in terms of parabolic cylinder functions, Proceedings of Royal Society of Edinburgh, 86A, 213-234.
    • (1980) Proceedings of Royal Society of Edinburgh , vol.86A , pp. 213-234
    • Olver, F.W.J.1
  • 12
    • 27644583178 scopus 로고    scopus 로고
    • Universality of local eigenvalue statistics for random sample covariance matrices
    • Ecole Polytechnique Federale de Lausanne
    • Peche, S. (2003). Universality of local eigenvalue statistics for random sample covariance matrices, Ph. D. Thesis, Ecole Polytechnique Federale de Lausanne.
    • (2003) Ph. D. Thesis
    • Peche, S.1
  • 14
    • 0141450345 scopus 로고    scopus 로고
    • A note on universality of the distribution of the largest eigenvalues in certain sample covariance matrices
    • Soshnikov, A. (2002). A note on universality of the distribution of the largest eigenvalues in certain sample covariance matrices, Journal of Statistical Physics, 108, 1033-1056.
    • (2002) Journal of Statistical Physics , vol.108 , pp. 1033-1056
    • Soshnikov, A.1
  • 16
  • 18
    • 0003025563 scopus 로고
    • Fredholm determinants, differential equations and matrix models
    • Tracy, C. And Widom, H. (1994b). Fredholm determinants, differential equations and matrix models, Communications in Mathematical Physics, 163, 33-72.
    • (1994) Communications in Mathematical Physics , vol.163 , pp. 33-72
    • Tracy, C.1    Widom, H.2
  • 20
    • 0032163852 scopus 로고    scopus 로고
    • Correlation functions, cluster functions and spacing distribution of random matrices
    • Tracy, C. And Widom, H. (1998). Correlation functions, cluster functions and spacing distribution of random matrices, Journal of Statistical Physics, 92, 809-835.
    • (1998) Journal of Statistical Physics , vol.92 , pp. 809-835
    • Tracy, C.1    Widom, H.2
  • 21
    • 0033074163 scopus 로고    scopus 로고
    • On the relation between orthogonal, symplectic and unitary ensembles
    • Widom, H. (1999). On the relation between orthogonal, symplectic and unitary ensembles, Journal of Statistical Physics, 94, 347-363.
    • (1999) Journal of Statistical Physics , vol.94 , pp. 347-363
    • Widom, H.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.