Multivariate Generalization of the Confluent Hypergeometric Function Kind 1 Distribution. (9th October 2008)

• Record Type: Journal Article
• Authors: Nagar, Daya K.; Sepúlveda-Murillo, Fabio Humberto
• Other Names: Volodin Andrei Academic Editor.
• Is Part Of: International journal of mathematics and mathematical sciences. Volume 2008(2008)
• Publication Date: 2008-10-09
• Subjects: Mathematics -- Periodicals; 510.5
• DOI: 10.1155/2008/152808
• Languages: English
• ISSNs: 0161-1712

Abstract

Abstract : The confluent hypergeometric function kind 1 distribution with the probability density function (pdf) proportional tox _ − 1 F 1 1 ( α ; β ; − x ), x > 0 occurs as the distribution of the ratio of independent gamma and beta variables. In this article, a multivariate generalization of this distribution is defined and derived. Several pertinent properties of this multivariate distribution are discussed that shed some light on the nature of the distribution.