Properties of the hypergeometric function type I distribution

ABSTRACT: The hypergeometric function type I distribution with the pdf proportional to x () ( ) − x F α β γ − x ν− γ− 1 2 1 , ; ; 1 1 1 occurs as the distribution of the product of two independent beta variables. In this article, we study several properties and stochastic representations of this dis...

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Bibliographic Details
Authors: Nagar, Daya Krishna, Álvarez Chalarca, José Ángel
Format: article
Status:Published version
Publication Date:2005
Country:Colombia
Institution:Universidad de Antioquia
Repository:Repositorio UdeA
Language:English
OAI Identifier:oai:bibliotecadigital.udea.edu.co:10495/30862
Online Access:https://hdl.handle.net/10495/30862
Access Level:Open access
Keyword:Funciones hipergeométricas
Hypergeometric functions
Distribución hipergeométrica
Hypergeometric distribution
Description
Summary:ABSTRACT: The hypergeometric function type I distribution with the pdf proportional to x () ( ) − x F α β γ − x ν− γ− 1 2 1 , ; ; 1 1 1 occurs as the distribution of the product of two independent beta variables. In this article, we study several properties and stochastic representations of this distribution.