Saralees NADARAJAH, Daya K. NAGAR, Danilo BEDOYA-VALENCIA

102121

Multivariate generalization of the Gauss hypergeometric distribution

The Gauss hypergeometric distribution with the density proportional to xα−1 (1 − x)β−1 (1 + ξx)−γ, 0 < x < 1 arises in connection with the prior distribution of the parameter ρ (0 < ρ < 1) representing traffic intensity in a M/M/1 queue system. In this article, we define and study a multivariate generalization of this distribution and derive some of its properties like marginal densities, joint moments, and factorizations. A data application is given. 
Keywords:

beta function, dirichlet function, gamma function, gauss hypergeometric function Liouville integral, Multivariate, transformation,

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Hacettepe Journal of Mathematics and Statistics-Cover
  • Yayın Aralığı: 6
  • Başlangıç: 2002
  • Yayıncı: Hacettepe Üniversitesi Fen Fakultesi
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