Department of Mathematics, Government College, Kaladera, Jaipur, India, Email id: dryashu23@yahoo.in
Online published on 13 June, 2019.
In the present paper, the author has studied about the structures which are the prod-ucts and ratios of statistically independently distributed positive real scalar random vari-ables. The author has derived the exact density of Generalized Type-1 beta density by the Mellin Transform and Hankel Tranform of the unknown density and after that the un-known density has been derived in terms of certain generalized hypergeometric functions by taking the inverse Mellin transform and Inverse Hankel Transform. A more general structure of generallized Gamma density has also been discussed. Some special cases in terms of H-function are also given. (2010 Mathematics Subject Classification: 33CXX, 44A15, 82XX)
Type-1 Beta density, Wright's Generalized Hypergeometric Function, I-function, H-function, Mellin Transform, Inverse Mellin Transform, Hankel Transform, Inverse Han-kel Transform
