Concise formulae for the cumulant matrices of a random vector
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Publication:745206
DOI10.1016/j.laa.2015.07.027zbMath1329.60017OpenAlexW1467263928MaRDI QIDQ745206
Jérôme Antoni, Hanany Ould-Baba, Vincent Robin
Publication date: 13 October 2015
Published in: Linear Algebra and its Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.laa.2015.07.027
momentscumulantsindependent component analysiscommutation matrixcumulant matrixmoment matrix of a Gaussian vectorrank of cumulant matrices
Multivariate distribution of statistics (62H10) Exact distribution theory in statistics (62E15) Characteristic functions; other transforms (60E10)
Cites Work
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- A note on the fourth cumulant of a finite mixture distribution
- Spectral analysis of the fourth moment matrix
- The commutation matrix: Some properties and applications
- Multivariate skewness and kurtosis measures with an application in ICA
- Independent component analysis, a new concept?
- Kronecker product permutation matrices and their application to moment matrices of the normal distribution
- Blind Identification of Overcomplete MixturEs of sources (BIOME)
- Singular value decomposition of the third multivariate moment
- Numerical multilinear algebra and its applications
- Matrix algebra for higher order moments
- Combinatorics of partial derivatives
- On a Method of Calculation of Semi-Invariants
- CUMULANTS AND PARTITION LATTICES1
- Kronecker products and matrix calculus in system theory
- On moments of quadratic forms in non-spherically distributed variables
- Higher order moments of random vectors using matrix derivatives
- The Early History of the Cumulants and the Gram‐Charlier Series
- Higher order moments of multivariate normal distribution using matrix derivatives
- ICAR: a tool for blind source separation using fourth-order statistics only
- Some Theorems on Matrix Differentiation with Special Reference to Kronecker Matrix Products
- Applications of Faa Di Bruno's Formula in Mathematical Statistics
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