The covariance matrix of a general symmetric second degree matrix polynomial under normality assumptions
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Publication:1102056
DOI10.1016/0024-3795(88)90218-2zbMath0643.62036OpenAlexW2066975274MaRDI QIDQ1102056
Heinz Neudecker, Michael W. Browne
Publication date: 1988
Published in: Linear Algebra and its Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/0024-3795(88)90218-2
normalitycovariance matrixcumulant generating functionmatrix differentiationgeneral second degree matrix polynomial
Characterization and structure theory for multivariate probability distributions; copulas (62H05) Calculus of vector functions (26B12)
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Cites Work
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- The commutation matrix: Some properties and applications
- On the dispersion matrix of a matrix quadratic form connected with the noncentral Wishart distribution
- The covariance matrix of a general symmetric second degree matrix polynomial under normality assumptions
- A note on the information matrix of the multivariate normal distribution
- Some results on commutation matrices, with statistical applications
- Conditions for Wishartness and Independence of Second Degree Polynomials in a Normal Vector
- Vec and vech operators for matrices, with some uses in jacobians and multivariate statistics
- The vec-permutation matrix, the vec operator and Kronecker products: a review
- The Elimination Matrix: Some Lemmas and Applications
- Some Theorems on Matrix Differentiation with Special Reference to Kronecker Matrix Products