On the hyper-dirichlet type 1 and hyper-liouville distributions |
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Authors: | Samuel Y Dennis III |
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Institution: | 1137 cooks court, Brentwook, TN, 37027s |
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Abstract: | This paper concerns the characterization of a new family of multivariate beta distribution functions - the hyper-Dirichlet type 1 distribution. This family describes the joint density function of the terminal variates of an arbitrary tree constructed from finite sequences of probability vectors having independent Dirichlet type 1 distributions. Expressions for the general properties of the hyper-Dirichlet type 1 distribution are presented. In addition, the hyper-Liouville distribution is described and its properties are discussed as well as a generalization of the Liouville integral identity. |
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Keywords: | Beta-Liouville distribution Dirichlet type 1 distribution generalized Dirichlet distribution hyper-beta Liouville distribution random proportions sequence tree |
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