G. Anderson, A. Guionnet, and O. , Zeitouni An Introduction to Random Matrices. Cambridge studies in advanced mathematics, p.2760897, 2009.

Z. D. Bai and J. W. , Silverstein No eigenvalues outside the suppport of the limiting spectral distribution of large dimensional random matrices, Annals of Probability, vol.26, issue.1, pp.316-345, 1998.

Z. D. Bai and J. W. , Silverstein CLT of linear spectral statistics of large dimensional sample covariance matrices, Annals of Probability, vol.32, issue.1A, pp.553-605, 2004.

Z. D. Bai and J. W. , Silverstein Spectral analysis of large dimensional random matrices, p.2567175, 2009.

Z. D. Bai and J. F. , On the convergence of the spectral empirical process of Wigner matrices, Bernoulli, vol.11, issue.6, pp.1059-1092, 2005.
DOI : 10.3150/bj/1137421640

Z. D. Bai and Y. , Necessary and Sufficient Conditions for Almost Sure Convergence of the Largest Eigenvalue of a Wigner Matrix, The Annals of Probability, vol.16, issue.4, pp.1729-1741, 1988.
DOI : 10.1214/aop/1176991594

Z. D. Bai and J. Yao, Central limit theorems for eigenvalues in a spiked population model, Annales de l'Institut Henri Poincare (B) Probability and Statistics, vol.44, issue.3, pp.447-474, 2008.
DOI : 10.1214/07-AIHP118

URL : https://hal.archives-ouvertes.fr/hal-00129331

Z. D. Bai, X. Wang, and W. Zhou, CLT for Linear Spectral Statistics of Wigner matrices, Electronic Journal of Probability, vol.14, issue.0, pp.2391-2417, 2009.
DOI : 10.1214/EJP.v14-705

J. Baik and G. , Phase transition of the largest eigenvalue for nonnull complex sample covariance matrices, The Annals of Probability, vol.33, issue.5, pp.1643-1697, 2005.
DOI : 10.1214/009117905000000233

F. Benaych-georges and R. N. Rao, The eigenvalues and eigenvectors of finite, low rank perturbations of large random matrices, Advances in Mathematics, vol.227, issue.1, pp.494-521, 2011.
DOI : 10.1016/j.aim.2011.02.007

URL : https://hal.archives-ouvertes.fr/hal-00423593

F. Benaych-georges, A. Guionnet, and M. Maida, Large deviations of extreme eigenvalues of finite rank deformations of deterministic matrices To appear in Prob, Th. and Rel. Fields, 2011.

M. Capitaine, C. Donati-martin, and D. , The largest eigenvalues of finite rank deformation of large Wigner matrices: Convergence and nonuniversality of the fluctuations, The Annals of Probability, vol.37, issue.1, pp.1-47, 2009.
DOI : 10.1214/08-AOP394

URL : https://hal.archives-ouvertes.fr/hal-00939972

M. Capitaine, C. Donati-martin, and D. , Féral Central limit theorems for eigenvalues of deformations of Wigner matrices. To appear in Ann, Inst. H. Poincaré Probab. Statist, 2011.

P. Deift and D. Gioev, Universality at the edge of the spectrum for unitary, orthogonal, and symplectic ensembles of random matrices, Communications on Pure and Applied Mathematics, vol.94, issue.161, pp.867-910, 2007.
DOI : 10.1002/cpa.20164

L. Erdös, B. Schlein, and H. , Yau Wegner estimate and level repulsion for Wigner random matrices, Int. Math. Res. Not, pp.436-479, 2010.

L. Erdös, H. T. Yau, and J. , Yin Bulk universality for generalized Wigner matrices

L. Erdös, B. Schlein, H. T. Yau, and J. , Yin The local relaxation flow approach to universality of the local statistics for random matrices To appear in Ann, Inst. H. Poincaré Probab. Statist, 2011.

D. Féral and S. , The Largest Eigenvalue of Rank One Deformation of Large Wigner Matrices, Communications in Mathematical Physics, vol.163, issue.1, pp.185-228, 2007.
DOI : 10.1007/s00220-007-0209-3

D. Féral and S. Péché, The largest eigenvalues of sample covariance matrices for a spiked population: Diagonal case, Journal of Mathematical Physics, vol.50, issue.7, p.2548630, 2009.
DOI : 10.1063/1.3155785

P. Forrester, The spectrum edge of random matrix ensembles, Nuclear Physics B, vol.402, issue.3, pp.709-728, 1993.
DOI : 10.1016/0550-3213(93)90126-A

A. Guionnet and E. , Maurel-Segala Combinatorial aspects of matrix models ALEA Lat, Am. J. Probab. Math. Stat, vol.1, pp.241-279, 2006.

D. L. Hanson and F. T. , A Bound on Tail Probabilities for Quadratic Forms in Independent Random Variables, The Annals of Mathematical Statistics, vol.42, issue.3, pp.1079-1083, 1971.
DOI : 10.1214/aoms/1177693335

J. Galambos, The Asymptotic Theory of Extreme Order Statistics Wiley, MR0455075 [26] E. J. Gumbel Statistics of extremes Columbia University Press, p.96342, 1958.

A. Intarapanich, P. Shaw, A. Assawamakin, P. Wangkumhang, C. Ngamphiw et al., Piriyapongsa and S.Tongsima Iterative pruning PCA improves resolution of highly structured populations http, pp.1471-2105382

S. Kritchman and B. Nadler, Non-Parametric Detection of the Number of Signals: Hypothesis Testing and Random Matrix Theory, IEEE Transactions on Signal Processing, vol.57, issue.10, pp.3930-3941, 2009.
DOI : 10.1109/TSP.2009.2022897

A. Lytova and L. A. Pastur, Central limit theorem for linear eigenvalue statistics of random matrices with independent entries, The Annals of Probability, vol.37, issue.5, pp.1778-1840, 2009.
DOI : 10.1214/09-AOP452

C. Mâle, Norm of polynomials in large random and deterministic matrices To appear in Prob, Th. and Rel. Fields, 2011.

V. A. Mar?enko and L. A. Pastur, Distribution of eigenvalues in certain sets of random matrices, Mat. Sb, issue.114, pp.72507-536, 1967.

T. Nagao, M. Taro, and . Wadati, Correlation Functions of Random Matrix Ensembles Related to Classical Orthogonal Polynomials. III, MR1177976 [34] N. Patterson, A. Price and D. Reich Population Structure and Eigenanalysis http, p.61, 1910.
DOI : 10.1143/JPSJ.61.1910

L. Pastur, Limiting laws of linear eigenvalue statistics for Hermitian matrix models, Journal of Mathematical Physics, vol.47, issue.10, p.2268864, 2006.
DOI : 10.1063/1.2356796

S. Péché, The largest eigenvalue of small rank perturbations of Hermitian random matrices. Probab. Theory Related Fields, pp.127-173, 2006.

S. Péché, Universality results for the largest eigenvalues of some sample covariance matrix ensembles Probab. Theory Related Fields, pp.481-516, 2009.

F. Perra, R. Garello, and M. , Spirito Probability of Missed Detection in Eigenvalue Ratio Spectrum Sensing http, p.29, 1109.

T. Tao, V. Vu-random, and . Matrices, Random Matrices: Universality of Local Eigenvalue Statistics up to the Edge, Communications in Mathematical Physics, vol.177, issue.1, pp.549-572, 2010.
DOI : 10.1007/s00220-010-1044-5

T. Tao and V. Vu-random, Matrices: Localization of the eigenvalues and the necessity of four moments

C. Tracy and H. Widom, Level-spacing distributions and the Airy kernel, Communications in Mathematical Physics, vol.21, issue.1, pp.151-174, 1994.
DOI : 10.1007/BF02100489

C. Tracy and H. Widom, On orthogonal and symplectic matrix ensembles, Communications in Mathematical Physics, vol.163, issue.3, pp.727-754, 1996.
DOI : 10.1007/BF02099545

D. Wang, The largest sample eigenvalue distribution in the rank 1 quaternionic spiked model of Wishart ensemble, The Annals of Probability, vol.37, issue.4, pp.1273-1328, 2009.
DOI : 10.1214/08-AOP432

M. Shcherbina, Edge Universality for Orthogonal Ensembles of Random Matrices, Journal of Statistical Physics, vol.94, issue.3, pp.35-50, 2009.
DOI : 10.1007/s10955-009-9766-5