-
2
-
-
0009128834
-
Convergence rate of expected spectral distributions of large random matrices. Ii. Sample covariance matrices
-
Mr1217560
-
Bai, Z. D. (1993). Convergence Rate of Expected Spectral Distributions of Large Random Matrices. Ii. Sample Covariance Matrices. Ann. Probab. 21 649-672. Mr1217560
-
(1993)
Ann. Probab.
, vol.21
, pp. 649-672
-
-
Bai, Z.D.1
-
3
-
-
2142645905
-
Effect of high dimension: By an example of a two sample problem
-
Mr1399305
-
Bai, Z. and Saranadasa, H. (1996). Effect of High Dimension: By An Example of A Two Sample Problem. Statist. Sinica 6 311-329. Mr1399305
-
(1996)
Statist. Sinica
, vol.6
, pp. 311-329
-
-
Bai, Z.1
Saranadasa, H.2
-
5
-
-
0001758959
-
Limit of the smallest eigenvalue of a large-dimensional sample covariance matrix
-
Mr1235416
-
Bai, Z. D. and Yin, Y. Q. (1993). Limit of The Smallest Eigenvalue of A Large-Dimensional Sample Covariance Matrix. Ann. Probab. 21 1275-1294. Mr1235416
-
(1993)
Ann. Probab.
, vol.21
, pp. 1275-1294
-
-
Bai, Z.D.1
Yin, Y.Q.2
-
6
-
-
73949135723
-
Corrections to lrt on large-dimensional covariance matrix by rmt
-
Mr2572444
-
Bai, Z., Jiang, D., Yao, J.-F. and Zheng, S. (2009). Corrections to Lrt on Large-Dimensional Covariance Matrix By Rmt. Ann. Statist. 37 3822-3840. Mr2572444
-
(2009)
Ann. Statist.
, vol.37
, pp. 3822-3840
-
-
Bai, Z.1
Jiang, D.2
Yao, J.-F.3
Zheng, S.4
-
7
-
-
18744389489
-
Significance analysis of functional categories in gene expression studies: A structured permutation approach
-
Barry, W. T., Nobel, A. B. andwright, F. A. (2005). Significance Analysis of Functional Categories in Gene Expression Studies: A Structured Permutation Approach. Bioinformatics 21 1943- 1949.
-
(2005)
Bioinformatics
, vol.21
, pp. 1943-1949
-
-
Barry, W.T.1
Nobel, A.B.2
Wright, F.3
-
8
-
-
0001677717
-
Controlling the false discovery rate: A practical and powerful approach to multiple testing
-
Mr1325392
-
Benjamini, Y. and Hochberg, Y. (1995). Controlling The False Discovery Rate: A Practical and Powerful Approach to Multiple Testing. J. Roy. Statist. Soc. Ser. B 57 289-300. Mr1325392
-
(1995)
J. Roy. Statist. Soc. Ser. B
, vol.57
, pp. 289-300
-
-
Benjamini, Y.1
Hochberg, Y.2
-
9
-
-
41549106844
-
Regularized estimation of large covariance matrices
-
Mr2387969
-
Bickel, P. J. and Levina, E. (2008A). Regularized Estimation of Large Covariance Matrices. Ann. Statist. 36 199-227. Mr2387969
-
(2008)
Ann. Statist.
, vol.36
, pp. 199-227
-
-
Bickel, P.J.1
Levina, E.2
-
10
-
-
62349112885
-
Covariance regularization by thresholding
-
Mr2485008
-
Bickel, P. J. and Levina, E. (2008B). Covariance Regularization By Thresholding. Ann. Statist. 36 2577-2604. Mr2485008
-
(2008)
Ann. Statist.
, vol.36
, pp. 2577-2604
-
-
Bickel, P.J.1
Levina, E.2
-
11
-
-
79957998464
-
Limiting laws of coherence of random matrices with applications to testing covariance structure and construction of compressed sensing matrices
-
Mr2850210
-
Cai, T. T. and Jiang, T. (2011). Limiting Laws of Coherence of Random Matrices with Applications to Testing Covariance Structure and Construction of Compressed Sensing Matrices. Ann. Statist. 39 1496-1525. Mr2850210
-
(2011)
Ann. Statist.
, Issue.39
, pp. 1496-1525
-
-
Cai, T.T.1
Jiang, T.2
-
12
-
-
84872036792
-
-
Technical Report, Dept. Statistics, Univ. Pennsylvania, Philadelphia, Pa
-
Cai, T., Liu, W. D. and Xia, Y. (2011). Two-Sample Covariance Matrix Testing and Support Recovery. Technical Report, Dept. Statistics, Univ. Pennsylvania, Philadelphia, Pa.
-
(2011)
Two-Sample Covariance Matrix Testing and Support Recovery
-
-
Cai, T.1
Liu, W.D.2
Xia, Y.3
-
13
-
-
77649330805
-
A two-sample test for high-dimensional data with applications to gene-set testing
-
Mr2604697
-
Chen, S. X. and Qin, Y.-L. (2010). A Two-Sample Test for High-Dimensional Data with Applications to Gene-Set Testing. Ann. Statist. 38 808-835. Mr2604697
-
(2010)
Ann. Statist.
, vol.38
, pp. 808-835
-
-
Chen, S.X.1
Qin, Y.-L.2
-
14
-
-
78649411926
-
Tests for high-dimensional covariance matrices
-
Mr2724863
-
Chen, S. X., Zhang, L.-X. and Zhong, P.-S. (2010). Tests for High-Dimensional Covariance Matrices. J. Amer. Statist. Assoc. 105 810-819. Mr2724863
-
(2010)
J. Amer. Statist. Assoc.
, vol.105
, pp. 810-819
-
-
Chen, S.X.1
Zhang, L.-X.2
Zhong, P.-S.3
-
15
-
-
1642317557
-
Gene expression profile of adult t-cell acute lymphocytic leukemia identifies distinct subsets of patients with different response to therapy and survival
-
Chiaretti, S., Li, X. C.,Gentleman, R.,Vitale, A.,Vignetti, M.,Mandelli, F.,Ritz, J. and Foa, R. (2004). Gene Expression Profile of Adult T-Cell Acute Lymphocytic Leukemia Identifies Distinct Subsets of Patients with Different Response to Therapy and Survival. Blood 103 2771-2778.
-
(2004)
Blood
, vol.103
, pp. 2771-2778
-
-
Chiaretti, S.1
Li, X.C.2
Gentleman, R.3
Vitale, A.4
Vignetti, M.5
Mandelli, F.6
Ritz, J.7
Foa, R.8
-
16
-
-
23744475601
-
Higher criticism for detecting sparse heterogeneous mixtures
-
Mr2065195
-
Donoho, D. and Jin, J. (2004). Higher Criticism for Detecting Sparse Heterogeneous Mixtures. Ann. Statist. 32 962-994. Mr2065195
-
(2004)
Ann. Statist.
, vol.32
, pp. 962-994
-
-
Donoho, D.1
Jin, J.2
-
17
-
-
77649334589
-
Multiple tests of association with biological annotation metadata
-
Ims, Beachwood, Oh. Mr2459952
-
Dudoit, S., Kele ̧s, S. and Van Der Laan, M. J. (2008). Multiple Tests of Association with Biological Annotation Metadata. in Probability and Statistics: Essays in Honor of David A. Freedman. inst. Math. Stat. Collect. 2 153-218. Ims, Beachwood, Oh. Mr2459952
-
(2008)
Probability and Statistics: Essays in Honor of David A. Freedman. inst. Math. Stat. Collect.
, vol.2
, pp. 153-218
-
-
Dudoit, S.1
Kelȩs, S.2
Laan, V.D.M.J.3
-
18
-
-
0004516853
-
Establishing the positive definiteness of the sample covariance matrix
-
Dykstra, R. L. (1970). Establishing The Positive Definiteness of The Sample Covariance Matrix. Ann. Math. Statist. 41 2153-2154.
-
(1970)
Ann. Math. Statist.
, vol.41
, pp. 2153-2154
-
-
Dykstra, R.L.1
-
19
-
-
35348890683
-
On testing the significance of sets of genes
-
Mr2393843
-
Efron, B. and Tibshirani, R. (2007). on Testing The Significance of Sets of Genes. Ann. Appl. Stat. 1 107-129. Mr2393843
-
(2007)
Ann. Appl. Stat.
, vol.1
, pp. 107-129
-
-
Efron, B.1
Tibshirani, R.2
-
20
-
-
46749089905
-
Tracy-widom limit for the largest eigenvalue of a large class of complex sample covariance matrices
-
Mr2308592
-
El Karoui, N. (2007). Tracy-Widom Limit for The Largest Eigenvalue of A Large Class of Complex Sample Covariance Matrices. Ann. Probab. 35 663-714. Mr2308592
-
(2007)
Ann. Probab.
, vol.35
, pp. 663-714
-
-
El Karoui, N.1
-
21
-
-
55349144848
-
High dimensional covariance matrix estimation using a factor model
-
Mr2472991
-
Fan, J., Fan, Y. and Lv, J. (2008). High Dimensional Covariance Matrix Estimation Using A Factor Model. J. Econometrics 147 186-197. Mr2472991
-
(2008)
J. Econometrics
, vol.147
, pp. 186-197
-
-
Fan, J.1
Fan, Y.2
Lv, J.3
-
22
-
-
38349049320
-
To how many simultaneous hypothesis tests can normal, student's t or bootstrap calibration be applied?
-
Mr2372536
-
Fan, J.,Hall, P. andyao, Q. (2007). to How Many Simultaneous Hypothesis Tests Can Normal, Student's T Or Bootstrap Calibration Be Applied? J. Amer. Statist. Assoc. 102 1282-1288. Mr2372536
-
(2007)
J. Amer. Statist. Assoc.
, vol.102
, pp. 1282-1288
-
-
Fan, J.1
Hall, P.2
Yao, Q.3
-
23
-
-
13244295991
-
Semilinear high-dimensional model for normalization of microarray data: A theoretical analysis and partial consistency
-
Mr2201010
-
Fan, J., Peng, H. and Huang, T. (2005). Semilinear High-Dimensional Model for Normalization of Microarray Data: A Theoretical Analysis and Partial Consistency. J. Amer. Statist. Assoc. 100 781-813. Mr2201010
-
(2005)
J. Amer. Statist. Assoc.
, vol.100
, pp. 781-813
-
-
Fan, J.1
Peng, H.2
Huang, T.3
-
24
-
-
84872038650
-
An unbiased estimator for powers of the arithmetic mean
-
Mr0123388
-
Glasser, G. J. (1961). An Unbiased Estimator for Powers of The Arithmetic Mean. J. Roy. Statist. Soc. Ser. B 23 154-159. Mr0123388
-
(1961)
J. Roy. Statist. Soc. Ser.
, vol.B 23
, pp. 154-159
-
-
Glasser, G.J.1
-
25
-
-
84872046466
-
Estimators for the product of arithmetic means
-
Mr0137209
-
Glasser, G. J. (1962). Estimators for The Product of Arithmetic Means. J. Roy. Statist. Soc. Ser. B 24 180-184. Mr0137209
-
(1962)
J. Roy. Statist. Soc. Ser.
, vol.B 24
, pp. 180-184
-
-
Glasser, G.J.1
-
26
-
-
50649095512
-
Properties of higher criticism under strong dependence
-
Mr2387976
-
Hall, P. and Jin, J. (2008). Properties of Higher Criticism Under Strong Dependence. Ann. Statist. 36 381-402. Mr2387976
-
(2008)
Ann. Statist.
, vol.36
, pp. 381-402
-
-
Hall, P.1
Jin, J.2
-
27
-
-
13244283624
-
A two-way semilinear model for normalization and analysis of cdna microarray data
-
Mr2201011
-
Huang, J.,Wang, D. and Zhang, C.-H. (2005). A Two-Way Semilinear Model for Normalization and Analysis of Cdna Microarray Data. J. Amer. Statist. Assoc. 100 814-829. Mr2201011
-
(2005)
J. Amer. Statist. Assoc.
, vol.100
, pp. 814-829
-
-
Huang J.Wang, D.1
Zhang, C.-H.2
-
28
-
-
33644986127
-
Covariance matrix selection and estimation via penalised normal likelihood
-
Mr2277742
-
Huang, J. Z., Liu, N., Pourahmadi, M. and Liu, L. (2006). Covariance Matrix Selection and Estimation Via Penalised Normal Likelihood. Biometrika 93 85-98. Mr2277742
-
(2006)
Biometrika
, vol.93
, pp. 85-98
-
-
Huang, J.Z.1
Liu, N.2
Pourahmadi, M.3
Liu, L.4
-
29
-
-
0035641726
-
On the distribution of the largest eigenvalue in principal components analysis
-
Mr1863961
-
Johnstone, I. M. (2001). on The Distribution of The Largest Eigenvalue in Principal Components Analysis. Ann. Statist. 29 295-327. Mr1863961
-
(2001)
Ann. Statist.
, vol.29
, pp. 295-327
-
-
Johnstone, I.M.1
-
30
-
-
66549088006
-
On consistency and sparsity for principal components analysis in high dimensions
-
Mr2751448
-
Johnstone, I. M. and Lu, A. Y. (2009). on Consistency and Sparsity for Principal Components Analysis in High Dimensions. J. Amer. Statist. Assoc. 104 682-693. Mr2751448
-
(2009)
J. Amer. Statist. Assoc.
, vol.104
, pp. 682-693
-
-
Johnstone, I.M.1
Lu, A.Y.2
-
31
-
-
84872033256
-
Factor modelling for high-dimensional time series: Inference for the number of factors
-
to Appear
-
Lam, C. and Yao, Q. (2011). Factor Modelling for High-Dimensional Time Series: inference for The Number of Factors. Ann. Statist. to Appear.
-
(2011)
Ann. Statist.
-
-
Lam, C.1
Yao, Q.2
-
32
-
-
82255192891
-
Estimation of latent factors for high-dimensional time series
-
Mr2860332
-
Lam, C., Yao, Q. and Bathia, N. (2011). Estimation of Latent Factors for High-Dimensional Time Series. Biometrika 98 901-918. Mr2860332
-
(2011)
Biometrika
, vol.98
, pp. 901-918
-
-
Lam, C.1
Yao, Q.2
Bathia, N.3
-
33
-
-
84872035246
-
-
Technical Report, Peking Univ., China
-
Lan, W., Luo, R., Tsai, C.,Wang, H. and Yang, Y. (2010). Testing The Diagonality of A Large Covariance Matrix in A Regression Setting. Technical Report, Peking Univ., China.
-
(2010)
Testing The Diagonality of A Large Covariance Matrix in A Regression Setting
-
-
Lan, W.1
Luo, R.2
Tsai C.Wang, H.3
Yang, Y.4
-
34
-
-
0036392431
-
Some hypothesis tests for the covariance matrix when the dimension is large compared to the sample size
-
Mr1926169
-
Ledoit, O. and Wolf, M. (2002). Some Hypothesis Tests for The Covariance Matrix When The Dimension Is Large Compared to The Sample Size. Ann. Statist. 30 1081-1102. Mr1926169
-
(2002)
Ann. Statist.
, vol.30
, pp. 1081-1102
-
-
Ledoit, O.1
Wolf, M.2
-
35
-
-
0346961488
-
A well-conditioned estimator for large-dimensional covariance matrices
-
Mr2026339
-
Ledoit, O. andwolf, M. (2004). A Well-Conditioned Estimator for Large-Dimensional Covariance Matrices. J. Multivariate Anal. 88 365-411. Mr2026339
-
(2004)
J. Multivariate Anal.
, Issue.88
, pp. 365-411
-
-
Ledoit, O.1
Wolf, M.2
-
36
-
-
38349182215
-
Identification of differentially expressed gene categories in microarray studies using nonparametric multivariate analysis
-
Nettleton, D., Recknor, J. and Reecy, J. M. (2008). Identification of Differentially Expressed Gene Categories in Microarray Studies Using Nonparametric Multivariate Analysis. Bioinformatics 24 192-201.
-
(2008)
Bioinformatics
, vol.24
, pp. 192-201
-
-
Nettleton, D.1
Recknor, J.2
Reecy, J.M.3
-
37
-
-
34250305651
-
Random-set methods identify distinct aspects of the enrichment signal in gene-set analysis
-
Mr2393842
-
Newton, M. A., Quintana, F. A., Den Boon, J. A., Sengupta, S. and Ahlquist, P. (2007). Random-Set Methods Identify Distinct Aspects of The Enrichment Signal in Gene-Set Analysis. Ann. Appl. Stat. 1 85-106. Mr2393842
-
(2007)
Ann. Appl. Stat.
, vol.1
, pp. 85-106
-
-
Newton, M.A.1
Quintana, F.A.2
Den Boon, J.A.3
Sengupta, S.4
Ahlquist, P.5
-
38
-
-
77955901795
-
A new approach to cholesky-based covariance regularization in high dimensions
-
Mr2672482
-
Rothman, A. J., Levina, E. and Zhu, J. (2010). A New Approach to Cholesky-Based Covariance Regularization in High Dimensions. Biometrika 97 539-550. Mr2672482
-
(2010)
Biometrika
, vol.97
, pp. 539-550
-
-
Rothman, A.J.1
Levina, E.2
Zhu, J.3
-
39
-
-
34547206225
-
A test for the equality of covariance matrices when the dimension is large relative to the sample sizes
-
Mr2408613
-
Schott, J. R. (2007). A Test for The Equality of Covariance Matrices When The Dimension Is Large Relative to The Sample Sizes. Comput. Statist. Data Anal. 51 6535-6542. Mr2408613
-
(2007)
Comput. Statist. Data Anal.
, vol.51
, pp. 6535-6542
-
-
Schott, J.R.1
-
40
-
-
41149175338
-
Differential correlation detects complex associations between gene expression and clinical outcomes in lung adenocarcinomas
-
(J. S. Shoemaker and S. M. Lin, Eds.) Springer, New York
-
Shedden, K. and Taylor, J. (2004). Differential Correlation Detects Complex Associations Between Gene Expression and Clinical Outcomes in Lung Adenocarcinomas. in Methods of Microarray Data Analysis Iv (J. S. Shoemaker and S. M. Lin, Eds.) 121-131. Springer, New York.
-
(2004)
Methods of Microarray Data Analysis
, vol.4
, pp. 121-131
-
-
Shedden, K.1
Taylor, J.2
-
41
-
-
0030545965
-
On orthogonal and symplectic matrix ensembles
-
Mr1385083
-
Tracy, C. A. and Widom, H. (1996). on Orthogonal and Symplectic Matrix Ensembles. Comm. Math. Phys. 177 727-754. Mr1385083
-
(1996)
Comm. Math. Phys.
, vol.177
, pp. 727-754
-
-
Tracy, C.A.1
Widom, H.2
-
42
-
-
0000217080
-
Gene expression analysis with the parametric bootstrap
-
Van Der Laan, M. J. and Bryan, J. (2001). Gene Expression Analysis with The Parametric Bootstrap. Biostatistics 2 445-461.
-
(2001)
Biostatistics
, vol.2
, pp. 445-461
-
-
Van Der Laan, M.J.1
Bryan, J.2
-
43
-
-
3843104546
-
Nonparametric estimation of large covariance matrices of longitudinal data
-
Mr2024760
-
Wu, W. B. and Pourahmadi, M. (2003). Nonparametric Estimation of Large Covariance Matrices of Longitudinal Data. Biometrika 90 831-844. Mr2024760
-
(2003)
Biometrika
, vol.90
, pp. 831-844
-
-
Wu, W.B.1
Pourahmadi, M.2
-
44
-
-
50949096321
-
The sparsity and bias of the lasso selection in highdimensional linear regression
-
Mr2435448
-
Zhang, C.-H. and Huang, J. (2008). The Sparsity and Bias of The Lasso Selection in Highdimensional Linear Regression. Ann. Statist. 36 1567-1594. Mr2435448
-
(2008)
Ann. Statist.
, vol.36
, pp. 1567-1594
-
-
Zhang, C.-H.1
Huang, J.2
|