-
1
-
-
13844256077
-
Level-spacing distributions and the Airy kernel
-
Tracy C, Widom H, Level-spacing distributions and the Airy kernel. Phys. Lett. B 1993; 305: 115-118.
-
(1993)
Phys. Lett. B
, vol.305
, pp. 115-118
-
-
Tracy, C.1
Widom, H.2
-
2
-
-
27644532196
-
Level-spacing distributions and the Airy kernel
-
Tracy C, Widom H. Level-spacing distributions and the Airy kernel. Commun. Math. Phys. 1994; 159: 151-174.
-
(1994)
Commun. Math. Phys.
, vol.159
, pp. 151-174
-
-
Tracy, C.1
Widom, H.2
-
3
-
-
0030545965
-
On orthogonal and symplectic matrix ensembles
-
Tracy C, Widom H. On orthogonal and symplectic matrix ensembles. Commun. Math. Phys. 1996; 177: 727-754.
-
(1996)
Commun. Math. Phys.
, vol.177
, pp. 727-754
-
-
Tracy, C.1
Widom, H.2
-
4
-
-
0035641726
-
On the distribution of the largest eigenvalue in principal components analysis
-
Johnstone I. On the distribution of the largest eigenvalue in principal components analysis. Ann. Stat. 2001; 29: 295-327.
-
(2001)
Ann. Stat.
, vol.29
, pp. 295-327
-
-
Johnstone, I.1
-
6
-
-
48749085727
-
Mitochondrial DNA haplogroup D4a is a marker for extreme longevity in Japan
-
Bilal E, Rabadan R, Alexe G, Fuku N, Ueno H, Nishigaki Y, Fujita Y, Ito M, Arai Y, Hirose N, et al. Mitochondrial DNA haplogroup D4a is a marker for extreme longevity in Japan. PLoS One 2008; 3: 2421.
-
(2008)
PLoS One
, vol.3
, pp. 2421
-
-
Bilal, E.1
Rabadan, R.2
Alexe, G.3
Fuku, N.4
Ueno, H.5
Nishigaki, Y.6
Fujita, Y.7
Ito, M.8
Arai, Y.9
Hirose, N.10
-
7
-
-
60849085181
-
PCA-based population structure inference with generic clustering algorithms
-
Chih L, Ali A, Chun-Hsi H. PCA-based population structure inference with generic clustering algorithms. BMC Bioinf. 2009; 10 (Suppl 1): S73.
-
(2009)
BMC Bioinf.
, vol.10
, Issue.SUPPL. 1
-
-
Chih, L.1
Ali, A.2
Chun-Hsi, H.3
-
8
-
-
78650797925
-
Genome-wide association study identifies BICD1 as a susceptibility gene for emphysema
-
Kong X, Cho M, Anderson W, Coxson H, Muller N, Washko G, Hoffman E, Bakke P, Gulsvik A, Lomas D, et al. Genome-wide association study identifies BICD1 as a susceptibility gene for emphysema. Am. J. Respir. Crit. Care Med. 2011; 183: 43-49.
-
(2011)
Am. J. Respir. Crit. Care Med.
, vol.183
, pp. 43-49
-
-
Kong, X.1
Cho, M.2
Anderson, W.3
Coxson, H.4
Muller, N.5
Washko, G.6
Hoffman, E.7
Bakke, P.8
Gulsvik, A.9
Lomas, D.10
-
9
-
-
70349333179
-
Nonmetric multidimensional scaling corrects for population structure in association mapping with different sample types
-
Zhu C, Yu J. Nonmetric multidimensional scaling corrects for population structure in association mapping with different sample types. Genetics 2009; 182: 875.
-
(2009)
Genetics
, vol.182
, pp. 875
-
-
Zhu, C.1
Yu, J.2
-
10
-
-
33746189446
-
Multivariate curve resolution of multidimensional excitation-emission quenching matrices of a Laurentian soil fulvic acid
-
Estevesda Silva J, Tavares M, Tauler R. Multivariate curve resolution of multidimensional excitation-emission quenching matrices of a Laurentian soil fulvic acid. Chemosphere 2006; 64: 1939-1948.
-
(2006)
Chemosphere
, vol.64
, pp. 1939-1948
-
-
Estevesda Silva, J.1
Tavares, M.2
Tauler, R.3
-
11
-
-
0002553580
-
Modification of Malinowski's f-test for abstract factor analysis applied to the Quail Roost II data sets
-
Faber K, Kowalski B. Modification of Malinowski's f-test for abstract factor analysis applied to the Quail Roost II data sets. J. Chemom. 1997; 11: 53-72.
-
(1997)
J. Chemom.
, vol.11
, pp. 53-72
-
-
Faber, K.1
Kowalski, B.2
-
12
-
-
16244416517
-
Adaptation of the Vogt-Mizaikoff f-test to determine the number of principal factors responsible for a data matrix and comparison with other popular methods
-
Malinowski E. Adaptation of the Vogt-Mizaikoff f-test to determine the number of principal factors responsible for a data matrix and comparison with other popular methods. J. Chemom. 2004; 18: 387-392.
-
(2004)
J. Chemom.
, vol.18
, pp. 387-392
-
-
Malinowski, E.1
-
13
-
-
58549105729
-
Determination of rank by median absolute deviation (DRMAD): a simple method for determining the number of principal factors responsible for a data matrix
-
Malinowski E. Determination of rank by median absolute deviation (DRMAD): a simple method for determining the number of principal factors responsible for a data matrix. J. Chemom. 2009; 23: 1-6.
-
(2009)
J. Chemom.
, vol.23
, pp. 1-6
-
-
Malinowski, E.1
-
14
-
-
0015417054
-
Chance correlations in structure-activity studies using multiple regression analysis
-
Topliss J, Costello R. Chance correlations in structure-activity studies using multiple regression analysis. J. Med. Chem. 1972; 15: 1066-1068.
-
(1972)
J. Med. Chem.
, vol.15
, pp. 1066-1068
-
-
Topliss, J.1
Costello, R.2
-
15
-
-
20344365760
-
The origin of correlations in metabolomics data
-
Camacho D, dela Fuente A, Mendes P. The origin of correlations in metabolomics data. Metabolomics 2005; 1: 53-63.
-
(2005)
Metabolomics
, vol.1
, pp. 53-63
-
-
Camacho, D.1
dela Fuente, A.2
Mendes, P.3
-
16
-
-
33748475897
-
On the analysis and interpretation of correlations in metabolomic data
-
Steuer R. On the analysis and interpretation of correlations in metabolomic data. Brief. Bioinform. 2006; 7: 151-158.
-
(2006)
Brief. Bioinform.
, vol.7
, pp. 151-158
-
-
Steuer, R.1
-
18
-
-
0037350844
-
Partial least squares for discrimination
-
Barker M, Rayens W. Partial least squares for discrimination. J. Chemom. 2003; 17: 166-173.
-
(2003)
J. Chemom.
, vol.17
, pp. 166-173
-
-
Barker, M.1
Rayens, W.2
-
19
-
-
33845413755
-
Regularized linear discriminant analysis and its application in microarrays
-
Guo Y, Hastie T, Tibshirani R. Regularized linear discriminant analysis and its application in microarrays. Bisostatistics 2007; 8: 86.
-
(2007)
Bisostatistics
, vol.8
, pp. 86
-
-
Guo, Y.1
Hastie, T.2
Tibshirani, R.3
-
20
-
-
2342533421
-
Class prediction by nearest shrunken centroids, with applications to DNA microarrays
-
Tibshirani R, Hastie T, Narasimhan B, Chu G. Class prediction by nearest shrunken centroids, with applications to DNA microarrays. Stat. Sci. 2003; 18: 104-117.
-
(2003)
Stat. Sci.
, vol.18
, pp. 104-117
-
-
Tibshirani, R.1
Hastie, T.2
Narasimhan, B.3
Chu, G.4
-
21
-
-
67149144218
-
Methods for the inference of biological pathways and networks
-
Bumgarner R, Yeung K. Methods for the inference of biological pathways and networks. Methods Mol Biol 2009; 541: 225-45.
-
(2009)
Methods Mol Biol
, vol.541
, pp. 225-245
-
-
Bumgarner, R.1
Yeung, K.2
-
22
-
-
33747019547
-
Centering, scaling, and transformations: improving the biological information content of metabolomics data
-
vanden Berg R, Hoefsloot H, Westerhuis J, Smilde A, vander Werf M. Centering, scaling, and transformations: improving the biological information content of metabolomics data. BMC Genomics 2006; 7: 1471-2164.
-
(2006)
BMC Genomics
, vol.7
, pp. 1471-2164
-
-
vanden Berg, R.1
Hoefsloot, H.2
Westerhuis, J.3
Smilde, A.4
vander Werf, M.5
-
23
-
-
85153976906
-
-
Largest eigenvalues and sample covariance matrices. Tracy-Widom and Painleve II: computational aspects and realization in S-Plus with applications. Preprint
-
Bejan A. Largest eigenvalues and sample covariance matrices. Tracy-Widom and Painleve II: computational aspects and realization in S-Plus with applications. Preprint: (2005).
-
(2005)
-
-
Bejan, A.1
-
24
-
-
0037282748
-
Centering and scaling in component analysis
-
Bro R, Smilde A. Centering and scaling in component analysis. J. Chemom. 2003; 17: 16-33.
-
(2003)
J. Chemom.
, vol.17
, pp. 16-33
-
-
Bro, R.1
Smilde, A.2
-
25
-
-
0347989448
-
Methodologies in spectral analysis of large-dimensional random matrices, a review
-
Bai Z. Methodologies in spectral analysis of large-dimensional random matrices, a review. Stat. Sinica 1999; 9: 611-677.
-
(1999)
Stat. Sinica
, vol.9
, pp. 611-677
-
-
Bai, Z.1
-
26
-
-
33645016053
-
Recent results about the largest eigenvalue of random covariance matrices and statistical application
-
ElKaroui N. Recent results about the largest eigenvalue of random covariance matrices and statistical application. Acta Phys. Pol., B 2005; 36: 2681.
-
(2005)
Acta Phys. Pol., B
, vol.36
, pp. 2681
-
-
ElKaroui, N.1
-
27
-
-
0019147547
-
A boundary value problem associated with the second Painleve transcendent and the Korteweg-de Vries equation
-
Hastings S, McLeod J. A boundary value problem associated with the second Painleve transcendent and the Korteweg-de Vries equation. Arch. Ration. Mech. An. 1980; 73: 31-51.
-
(1980)
Arch. Ration. Mech. An.
, vol.73
, pp. 31-51
-
-
Hastings, S.1
McLeod, J.2
-
28
-
-
0000950371
-
On the intensity of light in the neighbourhood of a caustic
-
Airy G. On the intensity of light in the neighbourhood of a caustic. Trans. Cambr. Phil. Soc. 1838; 379-402.
-
(1838)
Trans. Cambr. Phil. Soc.
, pp. 379-402
-
-
Airy, G.1
-
29
-
-
0034340689
-
Shape fluctuations and random matrices
-
Johansson K. Shape fluctuations and random matrices. Commun. Math. Phys. 2000; 209: 437-476.
-
(2000)
Commun. Math. Phys.
, vol.209
, pp. 437-476
-
-
Johansson, K.1
-
30
-
-
0141450345
-
A note on universality of the distribution of the largest eigenvalues in certain sample covariance matrices
-
Soshnikov A. A note on universality of the distribution of the largest eigenvalues in certain sample covariance matrices. J. Stat. Phys. 2002; 108: 1033-1056.
-
(2002)
J. Stat. Phys.
, vol.108
, pp. 1033-1056
-
-
Soshnikov, A.1
-
31
-
-
85153977880
-
-
On the largest eigenvalue of Wishart matrices with identity covariance when n, p and p/n tend to infinity. Arxiv preprint math/0309355
-
ElKaroui N. On the largest eigenvalue of Wishart matrices with identity covariance when n, p and p/n tend to infinity. Arxiv preprint math/0309355 2003.
-
(2003)
-
-
ElKaroui, N.1
-
32
-
-
59449098080
-
Universality results for the largest eigenvalues of some sample covariance matrix ensembles
-
Péché S. Universality results for the largest eigenvalues of some sample covariance matrix ensembles. Probab Theor Relat Field 2009; 143: 481-516.
-
(2009)
Probab Theor Relat Field
, vol.143
, pp. 481-516
-
-
Péché, S.1
-
33
-
-
27644476898
-
Phase transition of the largest eigenvalue for nonnull complex sample covariance matrices
-
Baik J, BenArous G, Péché S. Phase transition of the largest eigenvalue for nonnull complex sample covariance matrices. Ann. Probab. 2005; 33: 1643-1697.
-
(2005)
Ann. Probab.
, vol.33
, pp. 1643-1697
-
-
Baik, J.1
BenArous, G.2
Péché, S.3
-
34
-
-
85153993864
-
-
High dimensional statistical inference and random matrices. Arxiv preprint math. ST/0611589
-
Johnstone I. High dimensional statistical inference and random matrices. Arxiv preprint math. ST/0611589 2006.
-
(2006)
-
-
Johnstone, I.1
-
35
-
-
0037956695
-
Discarding or downweighting high-noise variables in factor analytic models
-
Paatero P, Hopke P. Discarding or downweighting high-noise variables in factor analytic models. Anal. Chim. Acta 2003; 490: 277-289.
-
(2003)
Anal. Chim. Acta
, vol.490
, pp. 277-289
-
-
Paatero, P.1
Hopke, P.2
-
36
-
-
0002111499
-
Scaling of analytical data
-
Khalheim O. Scaling of analytical data. Anal. Chim. Acta 1985; 177: 71-79.
-
(1985)
Anal. Chim. Acta
, vol.177
, pp. 71-79
-
-
Khalheim, O.1
-
37
-
-
0342462971
-
The geometry of multivariate object preprocessing
-
Deming S, Palasota J, Nocerino J. The geometry of multivariate object preprocessing. J. Chemom. 1993; 7: 393-425.
-
(1993)
J. Chemom.
, vol.7
, pp. 393-425
-
-
Deming, S.1
Palasota, J.2
Nocerino, J.3
-
38
-
-
46849108902
-
Dimensionality reduction and visualization in principal component analysis
-
Ivosev G, Burton L, Bonner R. Dimensionality reduction and visualization in principal component analysis. Anal. Chem. 2008; 80: 4933-4944.
-
(2008)
Anal. Chem.
, vol.80
, pp. 4933-4944
-
-
Ivosev, G.1
Burton, L.2
Bonner, R.3
-
39
-
-
0001699986
-
Asymptotic theory for principal component analysis
-
Anderson T. Asymptotic theory for principal component analysis. Ann. Math. Stat. 1963; 34: 122-148.
-
(1963)
Ann. Math. Stat.
, vol.34
, pp. 122-148
-
-
Anderson, T.1
-
40
-
-
3042622312
-
Distribution functions for largest eigenvalues and their applications
-
Tracy C, Widom H. Distribution functions for largest eigenvalues and their applications. Proceedings of the ICM 2002; 1: 587-596.
-
(2002)
Proceedings of the ICM
, vol.1
, pp. 587-596
-
-
Tracy, C.1
Widom, H.2
-
41
-
-
33947507043
-
A rate of convergence result for the largest eigenvalue of complex white Wishart matrices
-
ElKaroui N. A rate of convergence result for the largest eigenvalue of complex white Wishart matrices. Ann. Probab. 2006; 34: 2077-2117.
-
(2006)
Ann. Probab.
, vol.34
, pp. 2077-2117
-
-
ElKaroui, N.1
-
42
-
-
46749089905
-
Tracy-Widom limit for the largest eigenvalue of a large class of complex sample covariance matrices
-
ElKaroui N. Tracy-Widom limit for the largest eigenvalue of a large class of complex sample covariance matrices. Ann. Probab. 2007; 35: 663-714.
-
(2007)
Ann. Probab.
, vol.35
, pp. 663-714
-
-
ElKaroui, N.1
-
43
-
-
0002734464
-
Equating methods and sampling designs
-
Dorans N. Equating methods and sampling designs. Ethics & Behavior 1990; 3: 3-17.
-
(1990)
Ethics & Behavior
, vol.3
, pp. 3-17
-
-
Dorans, N.1
-
46
-
-
85153979091
-
-
On the numerical evaluation of distributions in random matrix theory: a review with an invitation to experimental mathematics. arXiv:0904.1581v4 [math.PR]
-
Bornemann F. On the numerical evaluation of distributions in random matrix theory: a review with an invitation to experimental mathematics. arXiv:0904.1581v4 [math.PR] 2009.
-
(2009)
-
-
Bornemann, F.1
-
48
-
-
28444496679
-
Distribution functions for edge eigenvalues in orthogonal and symplectic ensembles: Painlevé representations
-
Dieng M. Distribution functions for edge eigenvalues in orthogonal and symplectic ensembles: Painlevé representations. Int. Math. Res. Notices 2005; 2005: 2263.
-
(2005)
Int. Math. Res. Notices
, vol.2005
, pp. 2263
-
-
Dieng, M.1
-
49
-
-
35648987897
-
How to distinguish healthy from diseased? Classification strategy for mass spectrometry-based clinical proteomics
-
Hendriks M, Smit S, Akkermans W, Reijmers T, Eilers P, Hoefsloot H, Rubingh C, de Koster C, Aerts J, Smilde A. How to distinguish healthy from diseased? Classification strategy for mass spectrometry-based clinical proteomics. Proteomics 2007; 7: 3672-3680.
-
(2007)
Proteomics
, vol.7
, pp. 3672-3680
-
-
Hendriks, M.1
Smit, S.2
Akkermans, W.3
Reijmers, T.4
Eilers, P.5
Hoefsloot, H.6
Rubingh, C.7
de Koster, C.8
Aerts, J.9
Smilde, A.10
-
50
-
-
34248532830
-
Assessing the statistical validity of proteomics based biomarkers
-
Smit S, van Breemen M, Hoefsloot H, Smilde A, Aerts J, de Koster C. Assessing the statistical validity of proteomics based biomarkers. Anal. Chim. Acta 2007; 592: 210-217.
-
(2007)
Anal. Chim. Acta
, vol.592
, pp. 210-217
-
-
Smit, S.1
van Breemen, M.2
Hoefsloot, H.3
Smilde, A.4
Aerts, J.5
de Koster, C.6
-
51
-
-
39949083755
-
Cross-validation of component models: a critical look at current methods
-
Bro R, Kjeldahl K, Smilde A, Kiers H. Cross-validation of component models: a critical look at current methods. Anal. Bioanal. Chem. 2008; 390: 1241-1251.
-
(2008)
Anal. Bioanal. Chem.
, vol.390
, pp. 1241-1251
-
-
Bro, R.1
Kjeldahl, K.2
Smilde, A.3
Kiers, H.4
-
52
-
-
0034833160
-
Determination of rate constants in second-order kinetics using UV-visible spectroscopy
-
Bijlsma S, Boelens H, Smilde A. Determination of rate constants in second-order kinetics using UV-visible spectroscopy. Appl. Spectrosc. 2001; 55: 77-83.
-
(2001)
Appl. Spectrosc.
, vol.55
, pp. 77-83
-
-
Bijlsma, S.1
Boelens, H.2
Smilde, A.3
-
53
-
-
84951601886
-
Cross-validatory estimation of the number of components in factor and principal components models
-
Wold S. Cross-validatory estimation of the number of components in factor and principal components models. Technometrics 1978; 20: 397-405.
-
(1978)
Technometrics
, vol.20
, pp. 397-405
-
-
Wold, S.1
|