Estimation methods for a linearly structured covariance matrix
References
- Anderson, T. W., Olkin, I. (1985): Maximum-likelihood estimation of the parameters of a multivariate normal distribution. Linear Algebra and its Applications 70: 147-–171.
- Anderson T. W. (1973): Asymptotically Efficient Estimation of Covariance Matrices with Linear Structure. The Annals of Statistics 1(1): 135–141.
- Filipiak, K., John, M., Markiewicz, A. (2020): Comments on Maximum Likelihood Estimation and Projections Under Multivariate Statistical Models. In: Holgersson, T., Singull, M. (eds), Recent Developments in Multivariate and Random Matrix Analysis, 51—66. Springer International Publishing, Cham.
- Filipiak, K., Markiewicz, A., Mieldzioc, A., Sawikowska, A. (2018): On Projection of a Positive Definite Matrix on a Cone of Nonnegative Definite Toeplitz Matrices. The Electronic Journal of Linear Algebra 33: 74—82.
- Fuglede, B., Jensen, S. T. (2013). Positive projections of symmetric matrices and Jordan algebras. Expositiones Mathematicae 31(3): 295—303.
- Ledoit O., Wolf M. (2004): A well-conditioned estimator for large-dimensional covariance matrices. Journal of Multivariate Analysis 88(2): 365–411.
- Markiewicz A., Mieldzioc A. (2023): Improved estimation of linearly structured covariance matrices. Submitted.
- Mieldzioc A. (2022): Structure identification for a linearly structured covariance matrix. Biometrical Letters 59(2): 159–169.
- Ohlson M., von Rosen D. (2010): Explicit estimators of parameters in the Growth Curve model with linearly structured covariance matrices. Journal of Multivariate Analysis 101: 1284—1295.
- Seely, J. (1971): Quadratic Subspaces and Completeness. The Annals of Mathematical Statistics 42(2): 710—721.
- Szatrowski, T.H. (1980): Necessary and sufficient conditions for explicit solutions in the multivariate normal estimation problem for patterned means and covariances. The Annals of Statistics 8(4): 802–810.
Language: English
Page range: 217 - 223
Published on: Dec 29, 2023
Published by: Polish Biometric Society
In partnership with: Paradigm Publishing Services
Publication frequency: 2 times per year
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© 2023 Adam Mieldzioc, published by Polish Biometric Society
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