Zonal polynomials and hypergeometric functions of quaternion matrix argument

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dc.creatorLi, Fei
dc.creatorXue, Yifeng
dc.date2009-01-21
dc.date.accessioned2026-07-07T12:32:54Z
dc.date.available2026-07-07T12:32:54Z
dc.descriptionWe define zonal polynomials of quaternion matrix argument and deduce some important formulae of zonal polynomials and hypergeometric functions of quaternion matrix argument. As an application, we give the distributions of the largest and smallest eigenvalues of a quaternion central Wishart matrix $W\sim\mathbb{Q}W(n,Σ)$, respectively.
dc.description22 pages. Communications in Statistics - Theory and Methods (appear)
dc.identifierhttps://arxiv.org/abs/0901.3379
dc.identifierhttp://arxiv.org/abs/0901.3379
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/216941
dc.subjectStatistics Theory
dc.subjectProbability
dc.subjectMethodology
dc.titleZonal polynomials and hypergeometric functions of quaternion matrix argument
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