BIVARIATE GENERALIZATION OF THE HYPERGEOMETRIC FUNCTION TYPE I DISTRIBUTION

Daya K. Nagar (Colombia) and Paula A. Bran-Cardona (Colombia)

Received April 25, 2008

References:

[1] A. K. Gupta and D. K. Nagar, Matrix Variate Distributions, Chapman & Hall/CRC, Boca Raton, 2000. [2] Y. L. Luke, The Special Functions and their Approximations, Vol. 1, Academic Press, New York, 1969. [3] Albert W. Marshall and Ingram Olkin, Inequalities: Theory of Majorization and Its Applications, Mathematics in Science and Engineering 143, Academic Press, Inc. [Harcourt Brace Jovanovich, Publishers], New York, London, 1979. [4] Daya K. Nagar and José A. Alvarez, Properties of the hypergeometric function type I distribution, Adv. & Appl. in Stat. 5(3) (2005), 341- 351. [5] Daya K. Nagar and José A. Alvarez, Distribution of the product of independent hypergeometric function type I variables, Int. J. Appl. Math. Stat. 13(M08) (2008), 46-56. [6] T. Pham-Gia and N. Turkkan, The product and quotient of general beta distributions, Statistical Papers 43 (2002), 537-550. [7] B. D. Sivazlian, On a multivariate extension of the gamma and beta distributions, SIAM J. Appl. Math. 41(2) (1981), 205-209.

Keywords and phrases: beta distribution, Dirichlet distribution, hypergeometric function, moments, transformation.