Maximum-likelihood estimation of the parameters of a multivariate normal distribution
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Publication:1071428
DOI10.1016/0024-3795(85)90049-7zbMath0586.62074OpenAlexW2003898356MaRDI QIDQ1071428
Publication date: 1985
Published in: Linear Algebra and its Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/0024-3795(85)90049-7
inequalitiesmissing observationsmeansmultivariate normal distributionmatrix transformationscovariancesrank constraintmaximum-likelihood estimatorseconometric modelMatrix differentiation
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Cites Work
- A comment on Minimization of functions of a positive semidefinite matrix A subject to AX=0
- Maximum likelihood estimation of a multivariate linear functional relationship
- Relative efficiencies of estimates using patterned covariances or correlations in the multivariate normal estimation problem
- Applications of products to the generalized compound symmetry problem
- Invariant normal models
- Minimisation of functions of a positive semidefinite matrix A subject to AX=0
- Scaling of matrices to achieve specified row and column sums
- Jacobians of matrix transformations and induced functional equations
- Hadamard products and multivariate statistical analysis
- Maximum Likelihood Estimates for a Multivariate Normal Distribution when some Observations are Missing
- The Non-Central Multivariate Beta Distribution
- An inequality with application to multivariate analysis
- CERTAIN GENERALIZATIONS IN THE ANALYSIS OF VARIANCE
- XX.—On the Theory of Statistical Regression
- Some Applications of Matrix Derivatives in Multivariate Analysis
- Some Theorems on Matrix Differentiation with Special Reference to Kronecker Matrix Products
- Testing and Estimation for a Circular Stationary Model
- Symbolic Matrix Derivatives
- Testing Compound Symmetry in a Normal Multivariate Distribution
- Estimating Linear Restrictions on Regression Coefficients for Multivariate Normal Distributions
- Necessary and sufficient conditions for explicit solutions in the multivariate normal estimation problem for patterned means and covariances
- Simultaneous diagonalization of rectangular matrices
- Application of the theory of products of problems to certain patterned covariance matrices
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