5 research outputs found
Funciones Beta y Gama Generalizadas Extendidas y sus Aplicaciones
In this article, we define and study generalized forms of extended matrix variate gamma and beta functions. By using a number of results from matrix algebra, special functions of matrix arguments and zonal polynomials we derive a number of properties of these newly defined functions. We also give some applications of these functions to statistical distribution theory.En este artĂculo definimos y estudiamos formas generalizadas de las funciones gama y beta matriz variadas extendidas. Utilizando varios resultados del álgebra matricial, funciones especiales de argumento matricial y polinomios zonales, derivamos algunas de las propiedades de estas funciones. TambiĂ©n mostramos algunas aplicaciones de estas funciones a la teorĂa de distribuciones
Distribution of the product of determinants of noncentral bimatrix beta variates
The product moments of existing and new noncentral bimatrix variate beta distributions with
bounded domain are derived. From these, exact expressions for the distributions of statistics are obtained
by using the Mellin transform. These distributions add value to multivariate statistical analysis with specific
reference to factors of Wilks’ statistics and the product of generalized statistics.http://www.elsevier.com/locate/jmvanf201
Distribution of the product of determinants of noncentral bimatrix beta variates
The product moments of existing and new noncentral bimatrix variate beta distributions with
bounded domain are derived. From these, exact expressions for the distributions of statistics are obtained
by using the Mellin transform. These distributions add value to multivariate statistical analysis with specific
reference to factors of Wilks’ statistics and the product of generalized statistics.http://www.elsevier.com/locate/jmvanf201