Existence and uniqueness of the maximum likelihood estimator for models with a Kronecker product covariance structure
Tài liệu tham khảo
Allen, 2010, Transposable regularized covariance models with an application to missing data imputation, Ann. Appl. Stat., 4, 764, 10.1214/09-AOAS314
Anderson, 2003
Bijma, 2004, The coupled dipole model: an integrated model for multiple MEG/EEG data sets, NeuroImage, 23, 890, 10.1016/j.neuroimage.2004.06.038
Bijma, 2005, The spatiotemporal MEG covariance matrix modeled as a sum of Kronecker products, NeuroImage, 27, 402, 10.1016/j.neuroimage.2005.04.015
Burg, 1982, Estimation of structured covariance matrices, Proc. IEEE, 70, 963, 10.1109/PROC.1982.12427
De Munck, 2002, Estimating stationary dipoles from MEG/EEG data contaminated with spatially and temporally correlated background noise, IEEE Trans Sign. Proc., 50, 1565, 10.1109/TSP.2002.1011197
Dutilleul, 1999, The MLE algorithm for the matrix normal distribution, J. Statist. Comput. Simul., 64, 105, 10.1080/00949659908811970
Dutilleul, 1996, A doubly multivariate model for statistical analysis of spatio-temporal environmental data, Environmetrics, 7, 551, 10.1002/(SICI)1099-095X(199611)7:6<551::AID-ENV233>3.0.CO;2-9
Horn, 1991
Huizenga, 2002, Spatiotemporal EEG/MEG source analysis based on a parametric noise covariance model, IEEE Trans. Biomed. Eng., 49, 533, 10.1109/TBME.2002.1001967
Jansson, 2009, ML estimation of covariance matrices with Kronecker and persymmetric structure, 298
Keener, 2010
Kendall, 1979
Lee, 2008, Comment on “Models with a Kronecker product covariance structure: estimation and testing” by M.S. Srivastava, T. von Rosen, and D. von Rosen, Math. Methods Statist., 17, 357, 10.3103/S1066530708040066
Lu, 2004
Lu, 2005, The likelihood ratio test for a separable covariance matrix, Statist. Probab. Lett., 73, 449, 10.1016/j.spl.2005.04.020
Magnus, 2007
Mardia, 1993, Spatial–temporal analysis of multivariate environmental monitoring data, Multivariate Environ. Stat., 6, 347
Schneider, 1993
Srivastava, 2008, Models with a Kronecker product covariance structure: estimation and testing, Math. Methods Statist., 17, 357, 10.3103/S1066530708040066
B. Torrésani, E. Villaron, Harmonic hidden Markov models for the study of EEG signals, in: 18th European Signal Processing Conference, EUSIPCO-2010.
Van Loan, 2000, The ubiquitous Kronecker product, J. Comput. Appl. Math., 123, 85, 10.1016/S0377-0427(00)00393-9
Werner, 2008, On Estimation of covariance matrices with Kronecker product structure, IEEE Trans. Signal Process., 56, 478, 10.1109/TSP.2007.907834
Wirfält, 2010, On Toeplitz and Kronecker structured covariance matrix estimation, 185
Zhang, 2010, Learning multiple tasks with a sparse matrix-normal penalty, Adv. Neural Inf. Process. Syst., 23, 2550