- A. Gelman, J. B. Carlin, H. S. Stern, D. B. Rubin, Bayesian data analysis, Vol. 2, Taylor & Francis, 2014.
Paper not yet in RePEc: Add citation now
- A. Guionnet, M. Maı̈da, A Fourier view on the R-transform and related asymptotics of spherical integrals, Journal of Functional Analysis 222 (2) (2005) 435 – 490.
Paper not yet in RePEc: Add citation now
- A. Guionnet, O. Zeitouni, Large deviations asymptotics for spherical integrals, Journal of functional analysis 188 (2) (2002) 461–515.
Paper not yet in RePEc: Add citation now
- A. M. Khorunzhy, L. Pastur, On the eigenvalue distribution of the deformed Wigner ensemble of random matrices, Advances in Soviet Mathematics 19 (1994) 97–127.
Paper not yet in RePEc: Add citation now
- A. M. Tulino, S. VerduÃŒÂ, Random matrix theory and wireless communications, Communications and Information theory 1 (1) (2004) 1–182.
Paper not yet in RePEc: Add citation now
- A. Matytsin, On the large-n limit of the Itzykson-Zuber integral, Nuclear Physics B 411 (1994) 805–820.
Paper not yet in RePEc: Add citation now
A. Onatski, Determining the number of factors from empirical distribution of eigenvalues, The Review of Economics and Statistics 92 (4) (2010) 1004–1016.
- A. Sengupta, P. P. Mitra, Distributions of singular values for some random matrices, Physical Review E 60 (3) (1999) 3389.
Paper not yet in RePEc: Add citation now
- A. Takemura, An orthogonally invariant minimax estimator of the covariance matrix of a multivariate normal population, Tech. rep., DTIC Document (1983).
Paper not yet in RePEc: Add citation now
- A. Zee, Law of addition in random matrix theory, Nuclear Physics B 474 (3) (1996) 726–744.
Paper not yet in RePEc: Add citation now
- B. Charles, D. Chafai, Around the circular law, Probability Surveys 9 (2012) 1–89.
Paper not yet in RePEc: Add citation now
- B. Collins, A. Guionnet, E. Maurel-Segala, Asymptotics of unitary and orthogonal matrix integrals, Advances in Mathematics 222 (1) (2009) 172–215.
Paper not yet in RePEc: Add citation now
- B. Efron, C. Morris, Multivariate empirical Bayes and estimation of covariance matrices, The Annals of Statistics (1976) 22–32.
Paper not yet in RePEc: Add citation now
- B. Efron, C. N. Morris, Stein’s paradox in statistics, WH Freeman, 1977.
Paper not yet in RePEc: Add citation now
- C. A. Tracy, H. Widom, Level-spacing distributions and the Airy kernel, Communications in Mathematical Physics 159 (1) (1994) 151–174.
Paper not yet in RePEc: Add citation now
- C. Itzykson, J.-B. Zuber, The planar approximation. ii, Journal of Mathematical Physics 21 (1980) 411–421.
Paper not yet in RePEc: Add citation now
- C. Nadal, S. N. Majumdar, A simple derivation of the tracy–widom distribution of the maximal eigenvalue of a Gaussian unitary random matrix, Journal of Statistical Mechanics: Theory and Experiment 2011 (04) (2011) P04001.
Paper not yet in RePEc: Add citation now
- C. Stein, Inadmissibility of the usual estimator for the mean of a multivariate normal distribution, in: Proceedings of the Third Berkeley symposium on mathematical statistics and probability, Vol. 1, 1956, pp. 197–206.
Paper not yet in RePEc: Add citation now
- C. W. Beenakker, Random-matrix theory of quantum transport, Reviews of modern physics 69 (3) (1997) 731.
Paper not yet in RePEc: Add citation now
- D. Bartz, K. Hatrick, C. W. Hesse, K.-R. Müller, S. Lemm, Directional variance adjustment: Bias reduction in covariance matrices based on factor analysis with an application to portfolio optimization, PloS one 8 (7) (2013) e67503.
Paper not yet in RePEc: Add citation now
- D. Bartz, K.-R. Müller, Covariance shrinkage for autocorrelated data, in: Advances in Neural Information Processing Systems, 2014, pp. 1592–1600.
Paper not yet in RePEc: Add citation now
- D. E. Tyler, A distribution-free m-estimator of multivariate scatter, The Annals of Statistics 15 (1) (1987) 234–251.
Paper not yet in RePEc: Add citation now
- D. Hoyle, M. Rattray, Limiting form of the sample covariance eigenspectrum in pca and kernel pca, in: Advances in Neural Information Processing Systems, 2003, p. None.
Paper not yet in RePEc: Add citation now
- D. Paul, A. Aue, Random matrix theory in statistics: a review, Journal of Statistical Planning and Inference 150 (2014) 1–29.
Paper not yet in RePEc: Add citation now
- D. Paul, Asymptotics of sample eigenstructure for a large dimensional spiked covariance model, Statistica Sinica (2007) 1617–1642.
Paper not yet in RePEc: Add citation now
D. Paul, J. W. Silverstein, No eigenvalues outside the support of the limiting empirical spectral distribution of a separable covariance matrix, Journal of Multivariate Analysis 100 (1) (2009) 37–57.
- D. S. Dean, S. N. Majumdar, Extreme value statistics of eigenvalues of Gaussian random matrices, Physical Review E 77 (4) (2008) 041108.
Paper not yet in RePEc: Add citation now
- D. S. Dean, S. N. Majumdar, Large deviations of extreme eigenvalues of random matrices, Physical review letters 97 (16) (2006) 160201.
Paper not yet in RePEc: Add citation now
- D. Shlyakhtenko, Random Gaussian band matrices and freeness with amalgamation, International Mathematics Research Notices 1996 (20) (1996) 1013–1025. A. Harish-Chandra–Itzykson-Zuber integrals A.1. Definitions and results. The (generalized) Harish-Chandra-Itzykson-Zuber (HCIZ) integral
Paper not yet in RePEc: Add citation now
- D. Voiculescu, K. Dykema, A. Nica, Free random variables, American Mathematical Soc., 1992.
Paper not yet in RePEc: Add citation now
- D. Voiculescu, Limit laws for random matrices and free products, Inventiones mathematicae 104 (1) (1991) 201–220.
Paper not yet in RePEc: Add citation now
- D. Voiculescu, Symmetries of some reduced free product C*-algebras, Springer, 1985.
Paper not yet in RePEc: Add citation now
- E. BreÃŒÂzin, C. Itzykson, G. Parisi, J.-B. Zuber, Planar diagrams, Communications in Mathematical Physics 59 (1) (1978) 35–51.
Paper not yet in RePEc: Add citation now
- E. BreÃŒÂzin, S. Hikami, A. Zee, Universal correlations for deterministic plus random Hamiltonians, Physical Review E 51 (6) (1995) 5442.
Paper not yet in RePEc: Add citation now
E. F. Fama, K. R. French, Common risk factors in the returns on stocks and bonds, Journal of financial economics 33 (1) (1993) 3–56.
- E. Marinari, G. Parisi, F. Ritort, Replica field theory for deterministic models. ii. a nonrandom spin glass with glassy behaviour, Journal of Physics A: Mathematical and General 27 (23) (1994) 7647.
Paper not yet in RePEc: Add citation now
- E. P. Wigner, On the statistical distribution of the widths and spacings of nuclear resonance levels, in: Mathematical Proceedings of the Cambridge Philosophical Society, Vol. 47, Cambridge Univ Press, 1951, pp. 790–798.
Paper not yet in RePEc: Add citation now
E. Pantaleo, M. Tumminello, F. Lillo, R. N. Mantegna, When do improved covariance matrix estimators enhance portfolio optimization? an empirical comparative study of nine estimators, Quantitative Finance 11 (7) (2011) 1067–1080.
- E. Tarquini, G. Biroli, M. Tarzia, Level statistics and localization transitions of LeÃŒÂvy matrices, Physical Review Letters 116 (1) (2016) 010601.
Paper not yet in RePEc: Add citation now
- F. Benaych-Georges, R. R. Nadakuditi, The eigenvalues and eigenvectors of finite, low rank perturbations of large random matrices, Advances in Mathematics 227 (1) (2011) 494–521.
Paper not yet in RePEc: Add citation now
F. Benaych-Georges, R. R. Nadakuditi, The singular values and vectors of low rank perturbations of large rectangular random matrices, Journal of Multivariate Analysis 111 (2012) 120–135.
- F. J. Dyson, A brownian-motion model for the eigenvalues of a random matrix, Journal of Mathematical Physics 3 (1962) 1191–1198.
Paper not yet in RePEc: Add citation now
- G. Akemann, J. Baik, P. Di Francesco, The Oxford handbook of random matrix theory, Oxford University Press, 2011.
Paper not yet in RePEc: Add citation now
- G. Ben Arous, A. Guionnet, The spectrum of heavy tailed random matrices, Communications in Mathematical Physics 278 (3) (2008) 715–751.
Paper not yet in RePEc: Add citation now
- G. Biroli, J.-P. Bouchaud, M. Potters, On the top eigenvalue of heavy-tailed random matrices, EPL (Europhysics Letters) 78 (1) (2007) 10001.
Paper not yet in RePEc: Add citation now
G. Chamberlain, M. Rothschild, Arbitrage, factor structure, and mean-variance analysis on large asset markets (1982).
- G. Hooft, A planar diagram theory for strong interactions, Nuclear Physics B 72 (3) (1974) 461–473.
Paper not yet in RePEc: Add citation now
G. Kapetanios, A new method for determining the number of factors in factor models with large datasets, Tech. rep., Working Paper, Department of Economics, Queen Mary, University of London (2004).
- G. Parisi, A sequence of approximated solutions to the sk model for spin glasses, Journal of Physics A: Mathematical and General 13 (4) (1980) L115.
Paper not yet in RePEc: Add citation now
- G. W. Anderson, A. Guionnet, O. Zeitouni, An introduction to random matrices, Cambridge University Press, 2010.
Paper not yet in RePEc: Add citation now
- G. W. Furnas, S. Deerwester, S. T. Dumais, T. K. Landauer, R. A. Harshman, L. A. Streeter, K. E. Lochbaum, Information retrieval using a singular value decomposition model of latent semantic structure, in: Proceedings of the 11th annual international ACM SIGIR conference on Research and development in information retrieval, ACM, 1988, pp. 465–480.
Paper not yet in RePEc: Add citation now
- H. Hotelling, Relations between two sets of variates, Biometrika 28 (3/4) (1936) 321–377.
Paper not yet in RePEc: Add citation now
- H. M. Markowitz, Portfolio selection: efficient diversification of investments, Vol. 16, Yale University Press, 1968.
Paper not yet in RePEc: Add citation now
H. Markowitz, Portfolio selection, The journal of finance 7 (1) (1952) 77–91.
- H. Weidenmüller, G. Mitchell, Random matrices and chaos in nuclear physics: Nuclear structure, Reviews of Modern Physics 81 (2) (2009) 539.
Paper not yet in RePEc: Add citation now
- H. Weyl, Inequalities between the two kinds of eigenvalues of a linear transformation, Proceedings of the national academy of sciences 35 (7) (1949) 408–411.
Paper not yet in RePEc: Add citation now
- Harish-Chandra, Differential operators on a semisimple lie algebra, American Journal of Mathematics (1957) 87–120.
Paper not yet in RePEc: Add citation now
I. I. Dimov, P. N. Kolm, L. Maclin, D. Y. Shiber, Hidden noise structure and random matrix models of stock correlations, Quantitative Finance 12 (4) (2012) 567–572.
- I. M. Johnstone, Multivariate analysis and jacobi ensembles: Largest eigenvalue, tracy–widom limits and rates of convergence, Annals of statistics 36 (6) (2008) 2638.
Paper not yet in RePEc: Add citation now
- I. M. Johnstone, On the distribution of the largest eigenvalue in principal components analysis, Annals of statistics (2001) 295–327.
Paper not yet in RePEc: Add citation now
- J. A. Mingo, A. Nica, Annular noncrossing permutations and partitions, and second-order asymptotics for random matrices, International Mathematics Research Notices 2004 (28) (2004) 1413–1460.
Paper not yet in RePEc: Add citation now
- J. Baik, G. Ben Arous, S. PeÃŒÂcheÃŒÂ, Phase transition of the largest eigenvalue for nonnull complex sample covariance matrices, Annals of Probability (2005) 1643–1697.
Paper not yet in RePEc: Add citation now
- J. Bun, J. P. Bouchaud, S. N. Majumdar, M. Potters, Instanton approach to large n harishchandra -itzykson-zuber integrals, Phys. Rev. Lett. 113 (2014) 070201.
Paper not yet in RePEc: Add citation now
- J. Eisert, M. Friesdorf, C. Gogolin, Quantum many-body systems out of equilibrium, Nature Physics 11 (2) (2015) 124–130.
Paper not yet in RePEc: Add citation now
- J. Friedman, T. Hastie, R. Tibshirani, The elements of statistical learning, Vol. 1, Springer series in statistics Springer, Berlin, 2001.
Paper not yet in RePEc: Add citation now
- J. M. Deutsch, Quantum statistical mechanics in a closed system, Physical Review A 43 (4) (1991) 2046.
Paper not yet in RePEc: Add citation now
- J. Ramirez, B. Rider, B. ViraÃŒÂg, Beta ensembles, stochastic airy spectrum, and a diffusion, Journal of the American Mathematical Society 24 (4) (2011) 919–944.
Paper not yet in RePEc: Add citation now
- J. W. Silverstein, Eigenvalues and eigenvectors of large dimensional sample covariance matrices, Contemporary Mathematics 50 (1986) 153–159.
Paper not yet in RePEc: Add citation now
J. W. Silverstein, On the eigenvectors of large dimensional sample covariance matrices, Journal of multivariate analysis 30 (1) (1989) 1–16.
J. W. Silverstein, S.-I. Choi, Analysis of the limiting spectral distribution of large dimensional random matrices, Journal of Multivariate Analysis 54 (2) (1995) 295–309.
J. W. Silverstein, Strong convergence of the empirical distribution of eigenvalues of large dimensional random matrices, Journal of Multivariate Analysis 55 (2) (1995) 331–339.
J. W. Silverstein, Z. Bai, On the empirical distribution of eigenvalues of a class of large dimensional random matrices, Journal of Multivariate analysis 54 (2) (1995) 175–192.
- J. Wishart, The generalised product moment distribution in samples from a normal multivariate population, Biometrika (1928) 32–52.
Paper not yet in RePEc: Add citation now
- J. Yao, A. Kammoun, J. Najim, Eigenvalue estimation of parameterized covariance matrices of large dimensional data, Signal Processing, IEEE Transactions on 60 (11) (2012) 5893–5905.
Paper not yet in RePEc: Add citation now
- J.-B. Zuber, Introduction to random matrices (2012).
Paper not yet in RePEc: Add citation now
- J.-B. Zuber, The large-n limit of matrix integrals over the orthogonal group, Journal of Physics A: Mathematical and Theoretical 41 (38) (2008) 382001.
Paper not yet in RePEc: Add citation now
J.-P. Bouchaud, L. Laloux, M. A. Miceli, M. Potters, Large dimension forecasting models and random singular value spectra, The European Physical Journal B 55 (2) (2007) 201–207.
- J.-P. Bouchaud, M. Potters, Financial applications of random matrix theory: a short review, in: The Oxford handbook of Random Matrix Theory, Oxford University Press, 2011, pp. 824–850.
Paper not yet in RePEc: Add citation now
J.-P. Bouchaud, M. Potters, Theory of financial risk and derivative pricing: from statistical physics to risk management, Cambridge university press, 2003.
- K. Johansson, Shape fluctuations and random matrices, Communications in mathematical physics 209 (2) (2000) 437–476.
Paper not yet in RePEc: Add citation now
- K. W. Wachter, The limiting empirical measure of multiple discriminant ratios, The Annals of Statistics (1980) 937–957.
Paper not yet in RePEc: Add citation now
- L. Erdős, Universality of Wigner random matrices: a survey of recent results, Russian Mathematical Surveys 66 (3) (2011) 507.
Paper not yet in RePEc: Add citation now
- L. H. Dicker, et al., Ridge regression and asymptotic minimax estimation over spheres of growing dimension, Bernoulli 22 (1) (2016) 1–37.
Paper not yet in RePEc: Add citation now
L. Haff, An identity for the Wishart distribution with applications, Journal of Multivariate Analysis 9 (4) (1979) 531–544.
- L. Haff, Empirical Bayes estimation of the multivariate normal covariance matrix, The Annals of Statistics (1980) 586–597.
Paper not yet in RePEc: Add citation now
L. Haff, Minimax estimators for a multinormal precision matrix, Journal of Multivariate Analysis 7 (3) (1977) 374–385.
- L. Laloux, P. Cizeau, J.-P. Bouchaud, M. Potters, Noise dressing of financial correlation matrices, Physical review letters 83 (7) (1999) 1467.
Paper not yet in RePEc: Add citation now
L. Laloux, P. Cizeau, M. Potters, J.-P. Bouchaud, Random matrix theory and financial correlations, International Journal of Theoretical and Applied Finance 3 (03) (2000) 391–397.
L. P. Hansen, Large sample properties of generalized method of moments estimators, Econometrica: Journal of the Econometric Society (1982) 1029–1054.
- M. J. Bowick, EÃŒÂ. BreÃŒÂzin, Universal scaling of the tail of the density of eigenvalues in random matrix models, Physics Letters B 268 (1) (1991) 21–28.
Paper not yet in RePEc: Add citation now
- M. L. Mehta, Random matrices, Vol. 142, Academic press, 2004.
Paper not yet in RePEc: Add citation now
M. Marsili, Dissecting financial markets: sectors and states, Quantitative Finance 2 (4) (2002) 297–302.
- M. MeÃŒÂzard, M. A. Virasoro, G. Parisi, Spin glass theory and beyond, World Scientific, 1987.
Paper not yet in RePEc: Add citation now
- M. Talagrand, The parisi formula, Annals of Mathematics 163 (2006) 221–263.
Paper not yet in RePEc: Add citation now
M. Tumminello, F. Lillo, R. N. Mantegna, Correlation, hierarchies, and networks in financial markets, Journal of Economic Behavior & Organization 75 (1) (2010) 40–58.
M. Tumminello, F. Lillo, R. N. Mantegna, Kullback-leibler distance as a measure of the information filtered from multivariate data, Physical Review E 76 (3) (2007) 031123.
- M.-F. Bru, Wishart processes, Journal of Theoretical Probability 4 (4) (1991) 725–751.
Paper not yet in RePEc: Add citation now
- N. El Karoui, Concentration of measure and spectra of random matrices: applications to correlation matrices, elliptical distributions and beyond, The Annals of Applied Probability 19 (6) (2009) 2362–2405.
Paper not yet in RePEc: Add citation now
- N. El Karoui, Spectrum estimation for large dimensional covariance matrices using random matrix theory, The Annals of Statistics (2008) 2757–2790.
Paper not yet in RePEc: Add citation now
- N. Wiener, Extrapolation, interpolation, and smoothing of stationary time series, Vol. 2, MIT press Cambridge, MA, 1949.
Paper not yet in RePEc: Add citation now
- O. Alter, P. O. Brown, D. Botstein, Singular value decomposition for genome-wide expression data processing and modeling, Proceedings of the National Academy of Sciences 97 (18) (2000) 10101–10106.
Paper not yet in RePEc: Add citation now
O. Ledoit, M. Wolf, A well-conditioned estimator for large-dimensional covariance matrices, Journal of multivariate analysis 88 (2) (2004) 365–411.
O. Ledoit, M. Wolf, Improved estimation of the covariance matrix of stock returns with an application to portfolio selection, Journal of Empirical Finance 10 (5) (2003) 603–621.
O. Ledoit, M. Wolf, Numerical implementation of the quest function, Tech. rep., Department of Economics-University of Zurich (2016).
O. Ledoit, M. Wolf, Spectrum estimation: A unified framework for covariance matrix estimation and pca in large dimensions, Tech. rep., Working Paper Series, Department of Economics, University of Zurich (2013).
- O. Ledoit, S. PeÃŒÂcheÃŒÂ, Eigenvectors of some large sample covariance matrix ensembles, Probability Theory and Related Fields 151 (1-2) (2011) 233–264.
Paper not yet in RePEc: Add citation now
- P. Cizeau, J.-P. Bouchaud, Theory of LeÃŒÂvy matrices, Physical Review E 50 (3) (1994) 1810.
Paper not yet in RePEc: Add citation now
- P. J. Huber, Robust statistics, Springer, 2011.
Paper not yet in RePEc: Add citation now
- P. McCullagh, J. A. Nelder, Generalized linear models, Vol. 37, CRC press, 1989.
Paper not yet in RePEc: Add citation now
- P. S. Dwyer, Some applications of matrix derivatives in multivariate analysis, Journal of the American Statistical Association 62 (318) (1967) 607–625.
Paper not yet in RePEc: Add citation now
- P. Vivo, S. N. Majumdar, O. Bohigas, Large deviations of the maximum eigenvalue in Wishart random matrices, Journal of Physics A: Mathematical and Theoretical 40 (16) (2007) 4317.
Paper not yet in RePEc: Add citation now
- P. Zinn-Justin, Adding and multiplying random matrices: a generalization of voiculescus formulas, Physical Review E 59 (5) (1999) 4884.
Paper not yet in RePEc: Add citation now
- R. A. Maronna, D. R. Martin, V. J. Yohai, Robust Statistics: Theory and Methods, John Wiley and Sons, 2006.
Paper not yet in RePEc: Add citation now
- R. Allez, J.-P. Bouchaud, Eigenvector dynamics under free addition, Random Matrices: Theory and Applications 03 (2014) 1450010.
Paper not yet in RePEc: Add citation now
R. Allez, J.-P. Bouchaud, Eigenvector dynamics: general theory and some applications, Physical Review E 86 (4) (2012) 046202.
- R. Allez, J.-P. Bouchaud, S. N. Majumdar, P. Vivo, Invariant β-Wishart ensembles, crossover densities and asymptotic corrections to the Marčenko–Pastur law, Journal of Physics A: Mathematical and Theoretical 46 (1) (2012) 015001.
Paper not yet in RePEc: Add citation now
R. C. Merton, An intertemporal capital asset pricing model, Econometrica: Journal of the Econometric Society (1973) 867–887.
R. Chicheportiche, J.-P. Bouchaud, A nested factor model for non-linear dependencies in stock returns, Quantitative Finance 15 (11) (2015) 1–16.
R. Couillet, A. Kammoun, F. Pascal, Second order statistics of robust estimators of scatter. application to glrt detection for elliptical signals, Journal of Multivariate Analysis 143 (2016) 249–274.
R. Couillet, F. Pascal, J. W. Silverstein, The random matrix regime of Maronnas M-estimator with elliptically distributed samples, Journal of Multivariate Analysis 139 (2015) 56–78.
- R. Couillet, M. Debbah, et al., Random matrix methods for wireless communications, Cambridge University Press Cambridge, MA, 2011.
Paper not yet in RePEc: Add citation now
- R. Monasson, D. Villamaina, Estimating the principal components of correlation matrices from all their empirical eigenvectors, EPL (Europhysics Letters) 112 (5) (2015) 50001.
Paper not yet in RePEc: Add citation now
- R. Nandkishore, D. A. Huse, Many-Body Localization and Thermalization in Quantum Statistical Mechanics, Annual Review of Condensed Matter Physics 6 (1) (2015) 15–38.
Paper not yet in RePEc: Add citation now
- R. Speicher, Free probability theory, in: The Oxford handbook of Random Matrix Theory, Oxford University Press, 2011, pp. 452–470.
Paper not yet in RePEc: Add citation now
- R. Speicher, Multiplicative functions on the lattice of non-crossing partitions and free convolution, Mathematische Annalen 298 (1) (1994) 611–628.
Paper not yet in RePEc: Add citation now
S. Ciliberti, I. Kondor, M. MeÃŒÂzard, On the feasibility of portfolio optimization under expected shortfall, Quantitative Finance 7 (4) (2007) 389–396.
- S. Edwards, R. C. Jones, The eigenvalue spectrum of a large symmetric random matrix, Journal of Physics A: Mathematical and General 9 (10) (1976) 1595.
Paper not yet in RePEc: Add citation now
- S. Majumdar, Random matrices, the Ulam problem, directed polymers and growth models, and sequence matching, chapter 4, Les Houches-Session LXXXV. Elsevier (2006) 179–216.
Paper not yet in RePEc: Add citation now
- S. N. Majumdar, G. Schehr, Top eigenvalue of a random matrix: large deviations and third order phase transition, Journal of Statistical Mechanics: Theory and Experiment 2014 (1) (2014) P01012.
Paper not yet in RePEc: Add citation now
- S. N. Majumdar, P. Vivo, Number of relevant directions in principal component analysis and Wishart random matrices, Physical review letters 108 (20) (2012) 200601.
Paper not yet in RePEc: Add citation now
S. Pafka, I. Kondor, Noisy covariance matrices and portfolio optimization ii, Physica A: Statistical Mechanics and its Applications 319 (2003) 487–494.
- S. PeÃŒÂcheÃŒÂ, Universality of local eigenvalue statistics for random sample covariance matrices, Ph.D. thesis, EPFL (2003).
Paper not yet in RePEc: Add citation now
- S. PeÃŒÂcheÃŒÂ, Universality results for the largest eigenvalues of some sample covariance matrix ensembles, Probability Theory and Related Fields 143 (3-4) (2009) 481–516.
Paper not yet in RePEc: Add citation now
T. A. Schmitt, D. Chetalova, R. Schäfer, T. Guhr, Non-stationarity in financial time series: Generic features and tail behavior, EPL (Europhysics Letters) 103 (5) (2013) 58003.
- T. Amemiya, Advanced econometrics, Harvard University Press, 1985.
Paper not yet in RePEc: Add citation now
- T. Guhr, Supersymmetry, in: The Oxford handbook of Random Matrix Theory, Oxford University Press, 2011, pp. 135–154.
Paper not yet in RePEc: Add citation now
- T. Tanaka, Asymptotics of Harish-Chandra-Itzykson-Zuber integrals and free probability theory, in: Journal of Physics: Conference Series, Vol. 95, IOP Publishing, 2008, p. 012002.
Paper not yet in RePEc: Add citation now
- T. Tao, http://terrytao.wordpress.com/2013/02/08/the-harish-chandra-itzykson-zuberintegral -formula/ (2013).
Paper not yet in RePEc: Add citation now
- T. Tao, Topics in random matrix theory, Vol. 132, American Mathematical Soc., 2012.
Paper not yet in RePEc: Add citation now
- T. Tao, V. Vu, Random matrices: universality of local eigenvalue statistics, Acta mathematica 206 (1) (2011) 127–204.
Paper not yet in RePEc: Add citation now
- T. W. Anderson, An introduction to multivariate statistics, Wiley, New York, 1984.
Paper not yet in RePEc: Add citation now
- T. W. Anderson, Asymptotic theory for principal component analysis, Annals of Mathematical Statistics (1963) 122–148.
Paper not yet in RePEc: Add citation now
- T. Wirtz, T. Guhr, Distribution of the smallest eigenvalue in the correlated Wishart model, Physical review letters 111 (9) (2013) 094101.
Paper not yet in RePEc: Add citation now
- V. A. Marchenko, L. A. Pastur, Distribution of eigenvalues for some sets of random matrices, Matematicheskii Sbornik 114 (4) (1967) 507–536.
Paper not yet in RePEc: Add citation now
- V. C. Klema, A. J. Laub, The singular value decomposition: Its computation and some applications, Automatic Control, IEEE Transactions on 25 (2) (1980) 164–176.
Paper not yet in RePEc: Add citation now
- V. Kargin, Subordination for the sum of two random matrices, The Annals of Probability 43 (4) (2015) 2119–2150.
Paper not yet in RePEc: Add citation now
- V. Plerou, P. Gopikrishnan, B. Rosenow, L. A. N. Amaral, T. Guhr, H. E. Stanley, Random matrix approach to cross correlations in financial data, Physical Review E 65 (6) (2002) 066126.
Paper not yet in RePEc: Add citation now
- W. Hachem, A. Hardy, J. Najim, A survey on the eigenvalues local behavior of large complex correlated Wishart matrices, ESAIM: Proceedings and Surveys 51 (2015) 150–174.
Paper not yet in RePEc: Add citation now
- W. James, C. Stein, Estimation with quadratic loss, in: Proceedings of the fourth Berkeley symposium on mathematical statistics and probability, Vol. 1, 1961, pp. 361–379.
Paper not yet in RePEc: Add citation now
- X. Mestre, Improved estimation of eigenvalues and eigenvectors of covariance matrices using their sample estimates, Information Theory, IEEE Transactions on 54 (11) (2008) 5113–5129.
Paper not yet in RePEc: Add citation now
Y. Q. Yin, Limiting spectral distribution for a class of random matrices, Journal of multivariate analysis 20 (1) (1986) 50–68.
Y. Yang, G. Pan, et al., Independence test for high dimensional data based on regularized canonical correlation coefficients, The Annals of Statistics 43 (2) (2015) 467–500.
- Z. Bai, B. Miao, J.-F. Yao, Convergence rates of spectral distributions of large sample covariance matrices, SIAM journal on matrix analysis and applications 25 (1) (2003) 105–127.
Paper not yet in RePEc: Add citation now
- Z. Bai, J. W. Silverstein, Spectral analysis of large dimensional random matrices, Springer, 2009.
Paper not yet in RePEc: Add citation now
Z. Burda, A. Görlich, A. Jarosz, J. Jurkiewicz, Signal and noise in correlation matrix, Physica A: Statistical Mechanics and its Applications 343 (2004) 295–310.
- Z. Burda, Free products of large random matrices–a short review of recent developments, in: Journal of Physics: Conference Series, Vol. 473, IOP Publishing, 2013, p. 012002.
Paper not yet in RePEc: Add citation now
- Z. Burda, J. Jurkiewicz, B. Waclaw, Spectral moments of correlated Wishart matrices, Physical Review E 71 (2) (2005) 026111.
Paper not yet in RePEc: Add citation now
- Z. Burda, J. Jurkiewicz, M. A. Nowak, G. Papp, I. Zahed, Free LeÃŒÂvy matrices and financial correlations, Physica A: Statistical Mechanics and its Applications 343 (2004) 694–700.
Paper not yet in RePEc: Add citation now
- Z. Burda, R. Janik, M. Nowak, Multiplication law and S transform for non-hermitian random matrices, Physical Review E 84 (6) (2011) 061125.
Paper not yet in RePEc: Add citation now
- Z. D. Bai, Convergence rate of expected spectral distributions of large random matrices. part i. Wigner matrices, The Annals of Probability (1993) 625–648.
Paper not yet in RePEc: Add citation now