Distribution of matrix quadratic forms under skew-normal settings

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Distribution of matrix quadratic forms under skew-normal settings

For a class of skew-normal matrix distributions, the density function, moment generating function and independent conditions are obtained. The noncentral skew Wishart distribution is defined and the necessary and sufficient conditions under which a quadratic form is noncentral skew Wishart distributed random matrix are established. A new version of Cochran’s theorem is given. For illustration, ...

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Title Distribution Function of Quadratic Forms in Normal Variables

June 22, 2010 Type Package Title Distribution function of quadratic forms in normal variables Version 1.0 Date 2010-06-20 Author P. Lafaye de Micheaux Maintainer P. Lafaye de Micheaux Description Computes the distribution function of quadratic forms in normal variables using Imhof’s method, Davies’s algorithm, Farebrother’s algorithm or Liu et al.’s algorithm. License ...

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ژورنال

عنوان ژورنال: Journal of Multivariate Analysis

سال: 2014

ISSN: 0047-259X

DOI: 10.1016/j.jmva.2014.07.001