Bekker, Andriette, 1958-Van Niekerk, JanetArashi, Mohammad2017-02-162017-03Bekker, A, Van Niekerk, J & Arashi, M 2017, 'Wishart distributions : advances in theory with Bayesian application', Journal of Multivariate Analysis, vol. 155, pp. 272-283.0047-259X (print)1095-7243 (online)10.1016/j.jmva.2016.12.002http://hdl.handle.net/2263/59072In this paper, we generalize the Wishart distribution utilizing a fresh approach that leads to the hypergeometric Wishart generator distribution with the Wishart generator and the Wishart as special cases. Important statistical characteristics are derived. The significance of this generator distribution is further demonstrated by assuming a special case as a prior for the underlying matrix variate normal model.en© 2016 Elsevier Inc. All rights reserved. Notice : this is the author’s version of a work that was accepted for publication in Journal of Multivariate Analysis. Changes resulting from the publishing process, such as peer review, editing, corrections, structural formatting, and other quality control mechanisms may not be reflected in this document. A definitive version was subsequently published in Journal of Multivariate Analysis, vol. 155, pp. 272-283, 2017. doi : 10.1016/j.jmva.2016.12.002.Bayesian estimationFrobenius normHypergeometric WishartMatrix-variate convergenceMatrix-variate normalWishart distributionPostprint Article