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Matrix Variate Distributions
Abstract
The following sections are included:IntroductionSquare Random MatricesRectangular Random MatricesNormal Matrix VariatePropertiesDerived matrix distributionsFrom the Normal to the Gamma Family of DistributionsThe Wishart DistributionIts entries distributionCharacteristic functionAdditivityThe diagonal submatrices of a Wishart matrixDistributions of some ratiosBartlett decompositionDeterminant distributionLatent roots of a Wishart matrixThe Generalized VarianceExpression of the generalized varianceExpression of the density of the sample generalized varianceEstimation of |Σ|Numerical illustrationThe Matrix Variate Gamma DistributionThe Central Matrix Variate Beta DistributionsEntries distributionsDeterminant distributionLatent roots distributionsDecomposition of a beta matrix variateWilks’s distributionsConclusionBibliography
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Cited by
Bayesian approach to extended object and cluster tracking using random matrices
Koch, J. W. (2008) · IEEE Transactions on Aerospace and Electronic Systems · doi:10.1109/taes.2008.4655362 · Cited by 667
Vallisneri, M. (2008) · Physical Review D · doi:10.1103/physrevd.77.042001 · Cited by 630
Towards an information theory of large networks: an achievable rate region
Gupta, P., & Kumar, P. R. (2003) · IEEE Transactions on Information Theory · doi:10.1109/tit.2003.814480 · Cited by 435
Towards Bayesian Deep Learning: A Framework and Some Existing Methods
Wang, H., & Yeung, D.-Y. (2016) · IEEE Transactions on Knowledge and Data Engineering · doi:10.1109/tkde.2016.2606428 · Cited by 253
A power approximation for the Kenward and Roger Wald test in the linear mixed model
Kreidler, S. M., Ringham, B. M., Muller, K. E., & Glueck, D. H. (2021) · PLOS ONE · doi:10.1371/journal.pone.0254811 · Cited by 9
Metadata
- Venue
- The Multivariate Normal Distribution
- Publisher
- WORLD SCIENTIFIC
- Published
- 2021-05
- Pages
- 377-398
- OpenAlex
- W3179903767
- Cited by
- 379
- References
- 0
- FWCI
- 79.66
- Type
- book chapter
- Language
- en
- Open access
- closed
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