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The Hyperoctahedral Group,Symmetric Group Representations and the Moments of the Real Wishart Distribution
Authors:P.?Graczyk,G.?Letac  author-information"  >  author-information__contact u-icon-before"  >  mailto:letac@cict.fr"   title="  letac@cict.fr"   itemprop="  email"   data-track="  click"   data-track-action="  Email author"   data-track-label="  "  >Email author,H.?Massam
Affiliation:(1) Département de Mathématiques, Université d"rsquo"Angers, 49045 Angers, France;(2) Laboratoire de Statistique et Probabilits, Université Paul Sabatier, 31062 Toulouse, France;(3) Department of Statistics, York UNiversity, Toronto, Canada
Abstract:In this paper, we compute all the moments of the real Wishart distribution. To do so, we use the Gelfand pair (S2k,H), where H is the hyperoctahedral group, the representation theory of H and some techniques based on graphs.
Keywords:Hyperoctahedral group  Wishart distribution  Gelfand pair  moments.
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