J. Austral. Math. Soc.  73 (2002), 11-25
Matrix-variate Kummer-Beta distribution

Daya K. Nagar
  Departamento de Matemáticas
  Universidad de Antioquia
  Medellín, A. A. 1226
  Colombia
  nagar@matematicas.udea.edu.co
and
Arjun K. Gupta
  Department of Mathematics and Statistics
  Bowling Green State University
  Bowling Green, Ohio 43403-0221
  USA
  gupta@bgnet.bgsu.edu


Abstract
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.
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