1 |
Tracy, C. A. and Widom, H. (1996). On orthogonal and symplectic matrix ensembles. Communications in Mathematical Physics, 177, 727-754.
DOI
ScienceOn
|
2 |
Tracy, C. A. and Widom, H. (2000). The distribution of the largest eigenvalue in the Gaussian ensembles; = 1, 2, 4. CRM Series in Mathematical Physics, 4, 461-472.
|
3 |
Whittaker, J. (1990). Graphical models in applied mathematical multivariate statistics, John Wiley & Sons. New York.
|
4 |
Wigner, E. P. (1955). Characteristic vectors of bordered matrices with infinite dimensions. The Annals of Mathematics, 62, 548-564.
DOI
|
5 |
Won, D. and Choi, K. (2014). Network analysis and comparing citation index of statistics journals. Journal of the Korean Data and Information Science Society, 25, 317-325.
DOI
ScienceOn
|
6 |
Yuan, M. and Lin, Y. (2007). Model selection and estimation in the Gaussian graphical model, Biometrika, 94, 19-35.
DOI
ScienceOn
|
7 |
Johnstone, I. M. (2008). Multivariate analysis and Jacobi ensembles: Largest eigenvalue, Tracy-Widom limits and rates of convergence. The Annals of Statistics, 36, 2638-2716.
DOI
|
8 |
Katz, L.(1953). A new status index derived from sociometric analysis. Psychometrika, 18, 393.
|
9 |
Kim, C., Cheon, M., Kang, M. and Chang, I. (2008). A simple and exact Laplacian clustering of complex networking phenomena: Application to gene expression profiles. Proceedings of the National Academy of Science, 105, 4083-4087.
DOI
ScienceOn
|
10 |
Marcenko, V. A. and Pastur, L. A. (1967). Distribution of eigenvalues for some sets of random matrices. Mathmatics of the USSR - Sbornik, 1, 457-483.
DOI
ScienceOn
|
11 |
Meinshausen, N. and Buhlmann, P. (2006). High-dimensional graphs and variable selection with the lasso. The Annals of Statistics, 34, 1436-1462.
DOI
ScienceOn
|
12 |
Mieghem, P. V. (2010). Graph spectra for complex networks, Cambridge University Press, New York.
|
13 |
Newman, M. (2010), Networks; An introduction, Oxford University Press, New York.
|
14 |
Peng, J., Wang, P., Zhou N. and Zhu, J. (2009). Partial correlation estimation by joint sparse regression models. Journal of the American Statistical Association, 104, 735-746.
DOI
ScienceOn
|
15 |
Pillai, N. S. and Yin, J. (2012). Edge universality of correlation matrices. The Annals of Statistics, 40, 1737-1763.
DOI
|
16 |
Rothman, A. J., Levina, E. and Zhu, J. (2009). Generalized thresholding of large covariance matrices. Journal of the American Statistical Association, 104, 177-186.
DOI
ScienceOn
|
17 |
Rothman, A. J., Levina, E. and Zhu, J. (2010). Sparse multivariate regression with covariance estimation. Journal of Computational and Graphical Statistics, 19, 947-962.
DOI
ScienceOn
|
18 |
Speed, T. (2003). Statistical analysis of gene expression microarray data, Chapman and Hall, New York.
|
19 |
Birnbaum, A., Johnstone, I. M., Nadler, B. and Paul, D.(2013). Minimax bounds for sparse PCA with noisy high-dimensional data. The Annals of Statistics, 41, 1055-1084.
DOI
|
20 |
Bonacich, P. (1987). Power and centrality: A family of measures. The American Journal of Sociology, 92, 1170-1182.
DOI
ScienceOn
|
21 |
Cai, T. T. and Zhou, H. (2012). Minimax estimation of large covariance matrices under L1 norm (with discussion). Statistica Sinica, 22, 1319-1378.
|
22 |
Butte, A. J., Tamayo, P., Slonim, D., Golub, T. R. and Kohane, I. S.(2000). Discovering functional relationships between RNA expression and chemotherapeutic susceptibility using relevance networks. Proceedings of the National Academy of Sciences, 97, 12182-12186.
DOI
ScienceOn
|
23 |
Cai, T. T. and Liu, W. (2011). A direct estimation approach to sparse linear discriminant analysis. Journal of the American Statistical Association, 106, 1566-1577.
DOI
|
24 |
Cai, T. T. and Yuan, M. (2012). Adaptive covariance matrix estimation through block thresholding. The Annals of Statistics, 40, 2014-2042.
DOI
|
25 |
Chandrasekaran, V., Parrilo, P. A. and Willsky, A. S. (2012). Latent variable graphical model selection via convex optimization. The Annals of Statistics, 40, 1935-1967.
DOI
|
26 |
Chaudhuri, S., Alur, R. and Cerny, P. (2007). Model checking on trees with path equivalences. Tools and Algorithms for the Construction and Analysis of Systems Lecture Notes in Computer Science, 4424, 664-678.
|
27 |
Dempster, A. P. (1972). Covariance selection. Biometrics, 28, 157-175.
DOI
|
28 |
Edward, D. (2000). Introduction to graphical modelling, 2nd ed., Springer, New York.
|
29 |
Johnstone, I. M. (2001). On the distribution of the largest eigenvalue in principal component analysis. The Annals of Statistics, 29, 295-327.
|
30 |
Bickel, P. J. and Levina, E. (2008). Covariance regularization by thresholding. The Annals of Statistics, 36, 2577-2604.
DOI
|
31 |
Bien, J. and Tibshirani, R. J. (2011). Sparse estimation of a covariance matrix. Biometrika, 98 , 807-820.
DOI
ScienceOn
|