Asian Journal of Multidimensional Research (AJMR)

  • Year: 2019
  • Volume: 8
  • Issue: 5

A study of applications of H-Function in a Matrix-Variate pathway density model

Department of Mathematics, Government College, Kaladera, Jaipur, India, Email id: dryashu23@yahoo.in

Abstract

In the present paper, the author has discussed 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 a Matrix-variate pathway density model by using the Hankel Transform as the unknown density and after that the unknown density has been obtained by taking the inverse Hankel Transform. In the last, a more general structure of a Matrixvariate pathway density model has been discussed.

Keywords

Generalized Gamma density, Type-1 Beta Density, Type-2 Beta Desity, Matrix-Variate Pathway Density, H-function, Hankel Transform, Inverse Hankel Transform