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2 results

  • MATRIX-VARIATE GAUSS HYPERGEOMETRIC DISTRIBUTION

  • Part of
  • ARJUN K. GUPTA, DAYA K. NAGAR
  • Journal:
    Journal of the Australian Mathematical Society / Volume 92 / Issue 3 / June 2012
    Published online by Cambridge University Press:
    04 March 2012, pp. 335-355
    Print publication:
    June 2012
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  • In this paper, we propose a matrix-variate generalization of the Gauss hypergeometric distribution and study several of its properties. We also derive probability density functions of the product of two independent random matrices when one of them is Gauss hypergeometric. These densities are expressed in terms of Appell’s first hypergeometric function F1 and Humbert’s confluent hypergeometric function Φ1of matrix arguments.

  • Matrix-variate Kummer-Beta distribution

  • Part of
  • Daya K. Nagar, Arjun K. Gupta
  • Journal:
    Journal of the Australian Mathematical Society / Volume 73 / Issue 1 / August 2002
    Published online by Cambridge University Press:
    09 April 2009, pp. 11-26
    Print publication:
    August 2002
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  • This paper proposes matrix variate generalization of Kummer-Beta family of distributions which has been studied recently by Ng and Kotz. This distribution is an extension of Beta distribution. Its characteristic function has been derived and it is shown that the distribution is orthogonally invariant. Some results on distribution of random quadratic forms have also been derived.