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Wishart distributions: Advances in theory with Bayesian application

Andriëtte Bekker, Janet van Niekerk and Mohammad Arashi

Journal of Multivariate Analysis, 2017, vol. 155, issue C, 272-283

Abstract: In 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.

Keywords: Bayesian estimation; Frobenius norm; Hypergeometric Wishart; Matrix-variate convergence; Matrix-variate normal; Wishart distribution (search for similar items in EconPapers)
Date: 2017
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DOI: 10.1016/j.jmva.2016.12.002

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