Wishart-Laplace distributions associated with matrix quadratic forms
For a normal random matrix Y with mean zero, necessary and sufficient conditions are obtained for Y'WkY to be Wishart-Laplace distributed and {Y'WkY} to be independent, where each Wk is assumed to be symmetric rather than nonnegative definite.
Year of publication: |
2010
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---|---|
Authors: | Masaro, Joe ; Wong, Chi Song |
Published in: |
Journal of Multivariate Analysis. - Elsevier, ISSN 0047-259X. - Vol. 101.2010, 5, p. 1168-1178
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Publisher: |
Elsevier |
Keywords: | Matrix quadratic form Laplacian distribution Wishart distribution Jordan algebras Multivariate normal matrix Cochran theorem |
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