-
1
-
-
0034339813
-
Classical skew orthogonal polynomials and random matrices
-
Adler, M., Forrester, P. J., Nagao, T., and van Moerbeke, P., Classical skew orthogonal polynomials and random matrices. J. Statist. Physics 99 (1-2) (2000), 141-170.
-
(2000)
J. Statist. Physics
, vol.99
, Issue.1-2
, pp. 141-170
-
-
Adler, M.1
Forrester, P.J.2
Nagao, T.3
Van Moerbeke, P.4
-
2
-
-
0001699986
-
Asymptotic theory for principal component analysis
-
Anderson, T.W., Asymptotic theory for principal component analysis. Ann. Math. Statist. 34 (1963), 122-148.
-
(1963)
Ann. Math. Statist.
, vol.34
, pp. 122-148
-
-
Anderson, T.W.1
-
3
-
-
0003648234
-
-
2nd ed.Wiley Ser. Probab. Math. Statist. Probab. Math. Statist. JohnWiley & Sons, Inc. NewYork
-
Anderson, T.W., An Introduction to Multivariate Statistical Analysis. 2nd ed., Wiley Ser. Probab. Math. Statist. Probab. Math. Statist., JohnWiley & Sons, Inc., NewYork 1984.
-
(1984)
An Introduction to Multivariate Statistical Analysis
-
-
Anderson, T.W.1
-
4
-
-
0039638840
-
Distribution of eigenvalues in multivariate statistical analysis
-
Andersson, S.A., Brøns, H. K., and Jensen, S.T., Distribution of eigenvalues in multivariate statistical analysis. Ann. Statist. 11 (2) (1983), 392-415.
-
(1983)
Ann. Statist.
, vol.11
, Issue.2
, pp. 392-415
-
-
Andersson, S.A.1
Brøns, H.K.2
Jensen, S.T.3
-
5
-
-
0347989448
-
Methodologies in spectral analysis of large dimensional random matrices, a review
-
Bai, Z. D., Methodologies in spectral analysis of large dimensional random matrices, a review. Statist. Sinica 9 (1999), 611-677.
-
(1999)
Statist. Sinica
, vol.9
, pp. 611-677
-
-
Bai, Z.D.1
-
6
-
-
33646507506
-
Eigenvalues of large sample covariance matrices of spiked population models
-
Baik, J., and Silverstein, J.W., Eigenvalues of large sample covariance matrices of spiked population models. J. Multivariate Anal. 97 (2006), 1382-1408.
-
(2006)
J. Multivariate Anal
, vol.97
, pp. 1382-1408
-
-
Baik, J.1
Silverstein, J.W.2
-
7
-
-
27644476898
-
Phase transition of the largest eigenvalue for nonnull complex sample covariance matrices
-
Baik, J., BenArous, G., and Péché, S., Phase transition of the largest eigenvalue for nonnull complex sample covariance matrices. Ann. Probab. 33 (5) (2005), 1643-1697.
-
(2005)
Ann. Probab
, vol.33
, Issue.5
, pp. 1643-1697
-
-
Baik, J.1
BenArous, G.2
Péché, S.3
-
8
-
-
0000123158
-
Origins and levels of monthly and seasonal forecast skill for united states surface air temperatures determined by canonical correlation analysis
-
Barnett, T. P., and Preisendorfer, R., Origins and levels of monthly and seasonal forecast skill for United States surface air temperatures determined by canonical correlation analysis. Monthly Weather Review 115 (1987), 1825-1850.
-
(1987)
Monthly Weather Review
, vol.115
, pp. 1825-1850
-
-
Barnett, T.P.1
Preisendorfer, R.2
-
10
-
-
26944453623
-
Universality of local eigenvalue statistics for some sample covariance matrices
-
Ben Arous, G., and Péché, S., Universality of local eigenvalue statistics for some sample covariance matrices. Comm. Pure Appl. Math. 58 (10) (2005), 1316-1357.
-
(2005)
Comm. Pure Appl. Math.
, vol.58
, Issue.10
, pp. 1316-1357
-
-
Ben Arous, G.1
Péché, S.2
-
11
-
-
21344477172
-
Statistical mechanics of unsupervised structure recognition
-
Biehl, M., and Mietzner, A., Statistical mechanics of unsupervised structure recognition. J. Phys. A 27 (6) (1994), 1885-1897.
-
(1994)
J. Phys. A
, vol.27
, Issue.6
, pp. 1885-1897
-
-
Biehl, M.1
Mietzner, A.2
-
13
-
-
84878061734
-
-
Preprint, arXiv:cond-mat/0609070
-
Biroli, G., Bouchaud, J.-P., and Potters, M., On the top eigenvalue of heavy-tailed random matrices. Preprint, 2006; arXiv:cond-mat/0609070.
-
(2006)
On the Top Eigenvalue of Heavy-tailed Random Matrices
-
-
Biroli, G.1
Bouchaud, J.-P.2
Potters, M.3
-
14
-
-
0013172178
-
Linear processes in function spaces
-
Springer- Verlag, NewYork
-
Bosq, D., Linear processes in function spaces. Lecture Notes in Statist. 149, Springer- Verlag, NewYork 2000.
-
(2000)
Lecture Notes in Statist
, pp. 149
-
-
Bosq, D.1
-
16
-
-
0003100554
-
Robustness in the strategy of scientific model building
-
R. L. Launer and G. N.Wilkinson, editors, (R. L. Launer and G. N.Wilkinson, eds.), Academic Press, NewYork
-
Box, G. E. P., Robustness in the strategy of scientific model building. In R. L. Launer and G. N.Wilkinson, editors, Robustness in Statistics (R. L. Launer and G. N.Wilkinson, eds.), Academic Press, NewYork 1979, 201-236.
-
(1979)
Robustness in Statistics
, pp. 201-236
-
-
Box, G.E.P.1
-
17
-
-
0242266603
-
New correlation functions for random matrices and integrals over supergroups
-
Brézin, E., and Hikami, S., New correlation functions for random matrices and integrals over supergroups. J. Phys. A 36 (3) (2003), 711-751.
-
(2003)
J. Phys. A
, vol.36
, Issue.3
, pp. 711-751
-
-
Brézin, E.1
Hikami, S.2
-
18
-
-
84977711495
-
The number of factors in security returns
-
Brown, S. J., The number of factors in security returns. J. Finance XLIV (5) (1989), 1247-1261.
-
(1989)
J. Finance
, vol.64
, Issue.5
, pp. 1247-1261
-
-
Brown, S.J.1
-
19
-
-
0036389689
-
Laplace approximations for hypergeometric functions with matrix argument
-
Butler, R.W., andWood, A. T. A., Laplace approximations for hypergeometric functions with matrix argument. Ann. Statist. 30 (4) (2002), 1155-1177.
-
(2002)
Ann. Statist
, vol.30
, Issue.4
, pp. 1155-1177
-
-
Butler, R.W.1
AndWood, A.T.A.2
-
20
-
-
14644402533
-
Laplace approximations to hypergeometric functions of two matrix arguments
-
Butler, R. W., and Wood, A. T. A., Laplace approximations to hypergeometric functions of two matrix arguments. J. Multivariate Anal. 94 (1) (2005), 1-18.
-
(2005)
J. Multivariate Anal.
, vol.94
, Issue.1
, pp. 1-18
-
-
Butler, R.W.1
Wood, A.T.A.2
-
21
-
-
33947416035
-
Near optimal signal recovery from random projections: Universal encoding strategies?
-
Candès, E., and Tao, T., Near Optimal Signal Recovery From Random Projections: Universal Encoding Strategies? IEEE Trans. Inform. Theory 52 (12) (2006), 5406-5425.
-
(2006)
IEEE Trans. Inform. Theory
, vol.52
, Issue.12
, pp. 5406-5425
-
-
Candès, E.1
Tao, T.2
-
23
-
-
0003675970
-
-
Princeton University Press, Princeton, N.J
-
Cavalli-Sforza, L. L., Menozzi, P., and Piazza, A., The history and geography of human genes. Princeton University Press, Princeton, N.J., 1994.
-
(1994)
The History and Geography of Human Genes
-
-
Cavalli-Sforza, L.L.1
Menozzi, P.2
Piazza, A.3
-
27
-
-
0035185654
-
Shrinkage estimators for covariance matrices
-
Daniels, M. J., and Kass, R. E., Shrinkage estimators for covariance matrices. Biometrics 57 (4) (2001), 1173-1184.
-
(2001)
Biometrics
, vol.57
, Issue.4
, pp. 1173-1184
-
-
Daniels, M.J.1
Kass, R.E.2
-
28
-
-
0000957849
-
Asymptotic theory for the principal component analysis of a vector random function: Some applications to statistical inference
-
Dauxois, J., Pousse, A., and Romain, Y., Asymptotic theory for the principal component analysis of a vector random function: some applications to statistical inference. J. Multivariate Anal. 12 (1) (1982), 136-154.
-
(1982)
J. Multivariate Anal.
, vol.12
, Issue.1
, pp. 136-154
-
-
Dauxois, J.1
Pousse, A.2
Romain, Y.3
-
29
-
-
65349106899
-
Universality for mathematical and physical systems
-
(Madrid), EMS Publishing House, Zürich 2007
-
Deift, P., Universality for mathematical and physical systems. Proceedings of the International Congress of Mathematicians (Madrid, 2006), Volume I, EMS Publishing House, Zürich 2007, 125-152.
-
(2006)
Proceedings of the International Congress of Mathematicians
, vol.1
, pp. 125-152
-
-
Deift, P.1
-
30
-
-
0037396045
-
Patterns in eigenvalues: The 70th josiah willard gibbs lecture
-
N.S.
-
Diaconis, P., Patterns in eigenvalues: the 70th Josiah Willard Gibbs lecture. Bull. Amer. Math. Soc. (N.S.) 40 (2) (2003), 155-178.
-
(2003)
Bull. Amer. Math. Soc.
, vol.40
, Issue.2
, pp. 155-178
-
-
Diaconis, P.1
-
32
-
-
0041958932
-
Ideal spatial adaptation via wavelet shrinkage
-
Donoho, D. L., and Johnstone, I. M., Ideal spatial adaptation via wavelet shrinkage. Biometrika 81 (1994), 425-455.
-
(1994)
Biometrika
, vol.81
, pp. 425-455
-
-
Donoho, D.L.1
Johnstone, I.M.2
-
33
-
-
33646365077
-
For most large underdetermined systems of linear equations the minimal l1-norm solution is also the sparsest solution
-
Ddonoho, D. L., For most large underdetermined systems of linear equations the minimal l1-norm solution is also the sparsest solution. Comm. Pure Appl. Math. 59 (6) (2006), 797-829.
-
(2006)
Comm. Pure Appl. Math.
, vol.59
, Issue.6
, pp. 797-829
-
-
Ddonoho, D.L.1
-
34
-
-
0001755436
-
The threefold way, Algebraic structure of symmetry groups and ensembles in quantum mechanics
-
Dyson, F. J., The threefold way. Algebraic structure of symmetry groups and ensembles in quantum mechanics. J. Math. Phys. 3 (6) (1962), 1199-1215.
-
(1962)
J. Math. Phys
, vol.3
, Issue.6
, pp. 1199-1215
-
-
Dyson, F.J.1
-
36
-
-
19844372999
-
Random matrix theory
-
Edelman, A., and Rao, N. R., Random matrix theory. Acta Numer. 14 (2005), 233-297.
-
(2005)
Acta Numer
, vol.14
, pp. 233-297
-
-
Edelman, A.1
Rao, N.R.2
-
38
-
-
33947507043
-
A rate of convergence result for the largest eigenvalue of complex white wishart matrices
-
El Karoui, N., A rate of convergence result for the largest eigenvalue of complex white Wishart Matrices. Ann. Probab. 34 (2006), 2077-2117.
-
(2006)
Ann. Probab.
, vol.34
, pp. 2077-2117
-
-
El Karoui, N.1
-
39
-
-
46749089905
-
Tracy-widom limit for the largest eigenvalue of a large class of complex wishart matrices
-
El Karoui, N., Tracy-Widom limit for the largest eigenvalue of a large class of complex Wishart matrices. Ann. Probab. 35 (2007).
-
(2007)
Ann. Probab.
, vol.35
-
-
El Karoui, N.1
-
40
-
-
84878031768
-
Statistical challenges with high dimensionality: Feature selection in knowledge discovery
-
(Madrid), EMS Publishing House, Zürich 2006
-
Fan, J., and Li, R., Statistical challenges with high dimensionality: feature selection in knowledge discovery. Proceedings of the International Congress of Mathematicians (Madrid, 2006), Volume III, EMS Publishing House, Zürich 2006, 595-622.
-
(2006)
Proceedings of the International Congress of Mathematicians
, vol.3
, pp. 595-622
-
-
Fan, J.1
Li, R.2
-
41
-
-
0039601031
-
The sampling distribution of some statistics obtained from non-linear equations
-
Fisher, R.A., The sampling distribution of some statistics obtained from non-linear equations. Ann. Eugenics 9 (1939), 238-249.
-
(1939)
Ann. Eugenics
, vol.9
, pp. 238-249
-
-
Fisher, R.A.1
-
43
-
-
0000962515
-
Higher order spacing distributions for a class of unitary ensembles
-
Fox, D., and Kahn, P. B., Higher order spacing distributions for a class of unitary ensembles. Phys. Rev. 134 (5B) (1964), B1151-B1155.
-
(1964)
Phys. Rev
, vol.134
, Issue.5 B
-
-
Fox, D.1
Kahn, P.B.2
-
44
-
-
0035142560
-
Detection of neural activity in functionalmriusing canonical correlation analysis
-
Friman, O., Cedefamn, J., Lundberg, P., Borga, M., and H. Knutsson, H., Detection of neural activity in functionalMRIusing canonical correlation analysis. Magnetic Resonance in Medicine 45 (2001), 323-330.
-
(2001)
Magnetic Resonance in Medicine
, vol.45
, pp. 323-330
-
-
Friman, O.1
Cedefamn, J.2
Lundberg, P.3
Borga, M.4
Knutsson, H.H.5
-
45
-
-
0000793351
-
On the sampling theory of roots of determinantal equations
-
Girshick, M. A., On the sampling theory of roots of determinantal equations. Ann. Math. Statist. 10 (1939), 203-224.
-
(1939)
Ann. Math. Statist.
, vol.10
, pp. 203-224
-
-
Girshick, M.A.1
-
46
-
-
0001385789
-
Total positivity, spherical series, and hypergeometric functions of matrix argument
-
Gross, K. I., and Richards, D. St. P., Total positivity, spherical series, and hypergeometric functions of matrix argument. J. Approx. Theory 59 (2) (1989), 224-246.
-
(1989)
J. Approx. Theory
, vol.59
, Issue.2
, pp. 224-246
-
-
Gross, K.I.1
Richards, D.P.2
-
47
-
-
0001466038
-
The variational form of certain bayes estimators
-
Haff, L. R., The variational form of certain Bayes estimators. Ann. Statist. 19 (1991), 1163-1190.
-
(1991)
Ann. Statist
, vol.19
, pp. 1163-1190
-
-
Haff, L.R.1
-
48
-
-
33747153005
-
Properties of principal component methods for functional and longitudinal data analysis
-
Hall, P., Müller, H.-G., and Wang, J.-L., Properties of principal component methods for functional and longitudinal data analysis. Ann. Statist. 34 (3) (2006), 1493-1517.
-
(2006)
Ann. Statist
, vol.34
, Issue.3
, pp. 1493-1517
-
-
Hall, P.1
Müller, H.-G.2
Wang, J.-L.3
-
50
-
-
0002538277
-
Differential operators on a semisimple lie algebra
-
Harish-Chandra, Differential operators on a semisimple Lie algebra. Amer. J. Math. 79 (1) (1957), 87-120.
-
(1957)
Amer. J. Math.
, vol.79
, Issue.1
, pp. 87-120
-
-
Harish-Chandra1
-
51
-
-
58149421595
-
Analysis of a complex of statistical variables into principal components
-
498-520
-
Hotelling, H., Analysis of a complex of statistical variables into principal components. J. Educational Psychology 24 (1933), 417-441, 498-520.
-
(1933)
J. Educational Psychology
, vol.24
, pp. 417-441
-
-
Hotelling, H.1
-
52
-
-
0000107975
-
Relations between two sets of variates
-
Hotelling, H., Relations between two sets of variates. Biometrika 28 (1936), 321-377.
-
(1936)
Biometrika
, vol.28
, pp. 321-377
-
-
Hotelling, H.1
-
53
-
-
42749102750
-
Principal-component-analysis eigenvalue spectra from data with symmetry breaking structure
-
Hoyle, D. C., and Rattray, M., Principal-component-analysis eigenvalue spectra from data with symmetry breaking structure. Phys. Rev. E 69 (2004), (026124).
-
(2004)
Phys. Rev. E
, vol.69
, pp. 026124
-
-
Hoyle, D.C.1
Rattray, M.2
-
54
-
-
0000098440
-
On the distribution of roots of certain determinantal equations
-
Hsu, P. L., On the distribution of roots of certain determinantal equations. Ann. Eugenics 9 (1939), 250-258.
-
(1939)
Ann. Eugenics
, vol.9
, pp. 250-258
-
-
Hsu, P.L.1
-
55
-
-
36749111480
-
The planar approximation. II
-
Itzykson, C., and Zuber, J.-B., The planar approximation. II. J. Math. Phys. 21 (3) (1980), 411-421.
-
(1980)
J. Math. Phys.
, vol.21
, Issue.3
, pp. 411-421
-
-
Itzykson, C.1
Zuber, J.-B.2
-
56
-
-
0000952005
-
Distributions of matrix variates and latent roots derived from normal samples
-
James, A. T., Distributions of matrix variates and latent roots derived from normal samples. Ann. Math. Statist. 35 (1964), 475-501.
-
(1964)
Ann. Math. Statist
, vol.35
, pp. 475-501
-
-
James, A.T.1
-
57
-
-
0034340689
-
Shape fluctuations and random matrices
-
Johansson, K., Shape fluctuations and random matrices. Commun. Math. Phys. 209 (2000), 437-476.
-
(2000)
Commun. Math. Phys.
, vol.209
, pp. 437-476
-
-
Johansson, K.1
-
58
-
-
0003675176
-
-
5th ed. Prentice Hall, Englewood Cliffs, NJ
-
Johnson, R. A., and Wichern, D. W., Applied Multivariate Statistical Analysis. 5th ed., Prentice Hall, Englewood Cliffs, NJ, 2002.
-
(2002)
Applied Multivariate Statistical Analysis
-
-
Johnson, R.A.1
Wichern, D.W.2
-
59
-
-
3543030265
-
Needles and straw in haystacks: Empirical bayes estimates of possibly sparse sequences
-
Johnstone, I. M., and Silverman, B.W., Needles and straw in haystacks: Empirical Bayes estimates of possibly sparse sequences. Ann. Statist. 32 (2004), 1594-1649.
-
(2004)
Ann. Statist
, vol.32
, pp. 1594-1649
-
-
Johnstone, I.M.1
Silverman, B.W.2
-
60
-
-
0035641726
-
On the distribution of the largest eigenvalue in principal components analysis
-
Johnstone, I. M., On the distribution of the largest eigenvalue in principal components analysis. Ann. Statist. 29 (2001), 295-327.
-
(2001)
Ann. Statist
, vol.29
, pp. 295-327
-
-
Johnstone, I.M.1
-
61
-
-
84878057105
-
Canonical correlation analysis and jacobi ensembles: Tracy-widom limits and rates of convergence
-
August
-
Johnstone, I. M., Canonical correlation analysis and Jacobi ensembles: Tracy-Widom limits and rates of convergence. Manuscript, 50pp, August 2006.
-
(2006)
Manuscript
, pp. 50
-
-
Johnstone, I.M.1
-
62
-
-
36348984112
-
-
Technical report, Stanford University, Dept. of Statistics, tentatively accepted
-
Johnstone, I. M., and Lu, A. Y., Sparse principal components analysis. Technical report, Stanford University, Dept. of Statistics, 2004; tentatively accepted
-
(2004)
Sparse Principal Components Analysis
-
-
Johnstone, I.M.1
Lu, A.Y.2
-
63
-
-
0003946510
-
-
Springer Ser. Statist. Springer, 2nd edition, NewYork
-
Jolliffe, I. T., Principal Component Analysis. Springer Ser. Statist., Springer, 2nd edition, NewYork 2002.
-
(2002)
Principal Component Analysis
-
-
Jolliffe, I.T.1
-
65
-
-
33646424751
-
The efficient evaluation of the hypergeometric function of a matrix argument
-
Koev, P., and Edelman, A., The efficient evaluation of the hypergeometric function of a matrix argument. Math. Comp. 75 (254) (2006), 833-846.
-
(2006)
Math. Comp.
, vol.75
, Issue.254
, pp. 833-846
-
-
Koev, P.1
Edelman, A.2
-
66
-
-
0346961488
-
A well-conditioned estimator for large-dimensional covariance matrices
-
Ledoit, O., andWolf, M., A well-conditioned estimator for large-dimensional covariance matrices. J. Multivariate Analysis 88 (2004), 365-411.
-
(2004)
J. Multivariate Analysis
, vol.88
, pp. 365-411
-
-
Ledoit, O.1
Wolf, M.2
-
67
-
-
49549125943
-
Sparse statistical modelling in gene expression genomics
-
(K. A. Do, P. Mueller, and M. Vannucci, eds.), Cambridge University Press, Cambridge
-
Lucas, J., Carvalho, C., Wang, Q., Bild, A., Nevins, J., and West, M., Sparse statistical modelling in gene expression genomics. In Bayesian Inference for Gene Expression and Proteomics (K. A. Do, P. Mueller, and M. Vannucci, eds.), Cambridge University Press, Cambridge 2006, 155-176.
-
(2006)
Bayesian Inference for Gene Expression and Proteomics
, pp. 155-176
-
-
Lucas, J.1
Carvalho, C.2
Wang, Q.3
Bild, A.4
Nevins, J.5
West, M.6
-
68
-
-
0003607151
-
-
Academic Press, London, NewYork, Toronto, Ont
-
Mardia, K.V., Kent, J.T., and Bibby, J.M., Multivariate Analysis.Academic Press, London, NewYork, Toronto, Ont., 1979.
-
(1979)
Multivariate Analysis
-
-
Mardia, K.V.1
Kent, J.T.2
Bibby, J.M.3
-
69
-
-
0000263239
-
Distributions of eigenvalues of some sets of random matrices
-
Marčenko, V. A., and Pastur, L. A., Distributions of eigenvalues of some sets of random matrices. Math. USSR-Sb. 1 (1967), 507-536.
-
(1967)
Math. USSR-Sb
, vol.1
, pp. 507-536
-
-
Marčenko, V.A.1
Pastur, L.A.2
-
70
-
-
0018080152
-
Synthetic maps of human gene frequencies in europeans
-
Menozzi, P., Piazza, A., and Cavalli-Sforza, L., Synthetic maps of human gene frequencies in Europeans. Science 201 (4358) (1978), 786-792.
-
(1978)
Science
, vol.201
, Issue.4358
, pp. 786-792
-
-
Menozzi, P.1
Piazza, A.2
Cavalli-Sforza, L.3
-
71
-
-
34447518018
-
On the distribution of the characteristic roots of normal second-moment matrices
-
Mood, A. M., On the distribution of the characteristic roots of normal second-moment matrices. Ann. Math. Statist. 22 (1951), 266-273.
-
(1951)
Ann. Math. Statist
, vol.22
, pp. 266-273
-
-
Mood, A.M.1
-
72
-
-
0003558943
-
-
Wiley Ser. Probab. Math. Statist. Probab. Math. Statist. JohnWiley & Sons, Inc. NewYork
-
Muirhead, R. J., Aspects of Multivariate Statistical Theory. Wiley Ser. Probab. Math. Statist. Probab. Math. Statist., JohnWiley & Sons, Inc., NewYork 1982.
-
(1982)
Aspects of Multivariate Statistical Theory
-
-
Muirhead, R.J.1
-
74
-
-
84878098647
-
Asymptotics of sample eigenstructure for a large dimensional spiked covariance model
-
Stanford University, Statist. Sinica, to appear
-
Paul, D., Asymptotics of sample eigenstructure for a large dimensional spiked covariance model. Technical report, Department of Statistics, Stanford University, 2004; Statist. Sinica, to appear.
-
(2004)
Technical Report, Department of Statistics
-
-
Paul, D.1
-
75
-
-
0000325341
-
On lines and planes of closest fit to systems of points in space
-
Pearson, K., On lines and planes of closest fit to systems of points in space. Philosophical Magazine 2 (6) (1901), 559-572,.
-
(1901)
Philosophical Magazine
, vol.2
, Issue.6
, pp. 559-572
-
-
Pearson, K.1
-
77
-
-
33644996773
-
Financial applications of random matrix theory: Old laces and new pieces
-
Potters, M., Bouchaud, J. P., and Laloux, L., Financial applications of random matrix theory: Old laces and new pieces. Acta Phys. Polon. B 36 (2005), 2767-2784.
-
(2005)
Acta Phys. Polon. B
, vol.36
, pp. 2767-2784
-
-
Potters, M.1
Bouchaud, J.P.2
Laloux, L.3
-
78
-
-
34249863921
-
-
Ramírez, J., Rider, B., and Virág, B., Beta ensembles, stochastic Airy spectrum, and a diffusion. 2006.
-
(2006)
Beta Ensembles, Stochastic Airy Spectrum, and a Diffusion
-
-
Ramírez, J.1
Rider, B.2
Virág, B.3
-
79
-
-
0012958376
-
A gaussian scenario for unsupervised learning
-
Reimann, P., Van den Broeck, C., and Bex, G. J., A Gaussian scenario for unsupervised learning. J. Phys. A 29 (13) (1996), 3521-3535.
-
(1996)
J. Phys. A
, vol.29
, Issue.13
, pp. 3521-3535
-
-
Reimann, P.1
Van Den Broeck, C.2
Bex, G.J.3
-
80
-
-
0034704222
-
Nonlinear dimensionality reduction by locally linear embedding
-
Roweis, S. T., and Saul, L. K., Nonlinear Dimensionality Reduction by Locally Linear Embedding. Science 290 (5500) (2000), 2323-2326.
-
(2000)
Science
, vol.290
, Issue.5500
, pp. 2323-2326
-
-
Roweis, S.T.1
Saul, L.K.2
-
81
-
-
0041611607
-
P-statistics or some generalizations in analysis of variance appropriate to multivariate problems
-
Roy, S. N., p-statistics or some generalizations in analysis of variance appropriate to multivariate problems. Sankhya 4 (1939), 381-396.
-
(1939)
Sankhya
, vol.4
, pp. 381-396
-
-
Roy, S.N.1
-
82
-
-
0141450345
-
Anote on universality of the distribution of the largest eigenvalues in certain classes of sample covariance matrices
-
Soshnikov, A., Anote on universality of the distribution of the largest eigenvalues in certain classes of sample covariance matrices. J. Statist. Phys. 108 (2002), 1033-1056.
-
(2002)
J. Statist. Phys.
, vol.108
, pp. 1033-1056
-
-
Soshnikov, A.1
-
83
-
-
33749024750
-
Poisson statistics for the largest eigenvalues in random matrix ensembles
-
Springer-Verlag, Berlin
-
Soshnikov, A., Poisson statistics for the largest eigenvalues in random matrix ensembles. In Mathematical physics of quantum mechanics, Lecture Notes in Phys. 690, Springer-Verlag, Berlin 2006, 351-364.
-
(2006)
Mathematical Physics of Quantum Mechanics, Lecture Notes in Phys
, vol.690
, pp. 351-364
-
-
Soshnikov, A.1
-
84
-
-
17744389243
-
On the largest singular values of random matrices with independent cauchy entries
-
Soshnikov, A., and Fyodorov, Y.V., On the largest singular values of random matrices with independent Cauchy entries. J. Math. Phys. 46 (3) (2005), 033302.
-
(2005)
J. Math. Phys.
, vol.46
, Issue.3
, pp. 033302
-
-
Soshnikov, A.1
Fyodorov, Y.V.2
-
89
-
-
0034704229
-
A global geometric framework for nonlinear dimensionality reduction
-
Tenenbaum, J. B., de Silva, V., and Langford, J. C., A Global Geometric Framework for Nonlinear Dimensionality Reduction. Science 290 (5500) (2000), 2319-2323.
-
(2000)
Science
, vol.290
, Issue.5500
, pp. 2319-2323
-
-
Tenenbaum, J.B.1
De Silva, V.2
Langford, J.C.3
-
90
-
-
27644532196
-
Level-spacing distributions and the airy kernel
-
Tracy, C. A., and Widom, H., Level-spacing distributions and the Airy kernel. Comm. Math. Phys. 159 (1994), 151-174.
-
(1994)
Comm. Math. Phys.
, vol.159
, pp. 151-174
-
-
Tracy, C.A.1
Widom, H.2
-
91
-
-
0030545965
-
On orthogonal and symplectic matrix ensembles
-
Tracy, C. A., and Widom, H., On orthogonal and symplectic matrix ensembles. Comm. Math. Phys. 177 (1996), 727-754.
-
(1996)
Comm. Math. Phys.
, vol.177
, pp. 727-754
-
-
Tracy, C.A.1
Widom, H.2
-
92
-
-
0032163852
-
Correlation functions, cluster functions, and spacing distributions for random matrices
-
Tracy, C. A., andWidom, H., Correlation functions, cluster functions, and spacing distributions for random matrices. J. Statist. Phys. 92 (1998), 809-835.
-
(1998)
J. Statist. Phys.
, vol.92
, pp. 809-835
-
-
Tracy, C.A.1
AndWidom, H.2
-
94
-
-
0002247902
-
The strong limits of random matrix spectra for sample matrices of independent elements
-
Wachter, K. W., The strong limits of random matrix spectra for sample matrices of independent elements. Ann. Probab. 6 (1978), 1-18.
-
(1978)
Ann. Probab.
, vol.6
, pp. 1-18
-
-
Wachter, K.W.1
-
95
-
-
0039584778
-
The limiting empirical measure of multiple discriminant ratios
-
Wachter, K. W., The limiting empirical measure of multiple discriminant ratios. Ann. Statist. 8 (1980), 937-957.
-
(1980)
Ann. Statist
, vol.8
, pp. 937-957
-
-
Wachter, K.W.1
-
96
-
-
21344488435
-
Optimal unsupervised learning
-
Watkin, T. L. H., and Nadal, J.-P., Optimal unsupervised learning. J. Phys. A 27 (6) (1994), 1899-1915.
-
(1994)
J. Phys. A
, vol.27
, Issue.6
, pp. 1899-1915
-
-
Watkin, T.L.H.1
Nadal, J.-P.2
-
97
-
-
0000840166
-
Characteristic vectors of bordered matrices of infinite dimensions
-
Wigner, E. P., Characteristic vectors of bordered matrices of infinite dimensions. Ann. of Math. 62 (1955), 548-564.
-
(1955)
Ann. of Math.
, vol.62
, pp. 548-564
-
-
Wigner, E.P.1
-
98
-
-
0001560594
-
On the distribution of the roots of certain symmetric matrices
-
Wigner, E. P., On the distribution of the roots of certain symmetric matrices. Ann. of Math. 67 (1958), 325-328.
-
(1958)
Ann. of Math.
, vol.67
, pp. 325-328
-
-
Wigner, E.P.1
-
99
-
-
0002125597
-
The generalised product moment distribution in samples from a normal multivariate population
-
Wishart, J., The generalised product moment distribution in samples from a normal multivariate population. Biometrika 20A (1-2) (1928), 32-52.
-
(1928)
Biometrika
, vol.20 A
, Issue.1-2
, pp. 32-52
-
-
Wishart, J.1
-
100
-
-
21844496542
-
Estimation of a covariance matrix using the reference prior
-
Yang, R., and Berger, J. O., Estimation of a covariance matrix using the reference prior. Ann. Statist. 22 (1994), 1195-1211.
-
(1994)
Ann. Statist.
, vol.22
, pp. 1195-1211
-
-
Yang, R.1
Berger, J.O.2
|