Wilks’ Factorization of the Complex Matrix Variate Dirichlet Distributions

ABSTRACT: In this paper, it has been shown that the complex matrix variate Dirichlet type I density factors into the complex matrix variate beta type I densities. Similar result has also been derived for the complex matrix variate Dirichlet type II density. Also, by using certain matrix transformations, the complex matrix variate Dirichlet distributions have been generated from the complex matrix beta distributions. Further, several results on the product of complex Wishart and complex beta matrices with a set of complex Dirichlet type I matrices have been derived.

• Autores: Nagar, Daya Krishna; Cui, Xinping; Gupta, Arjun Kumar
• Tipo de recurso: Article of investigation
• Fecha de publicación: 2002
• Institución: Universidad de Antioquia
• Repositorio: Repositorio UdeA
• Idioma: eng
• OAI Identifier: oai:bibliotecadigital.udea.edu.co:10495/30420
• Acceso en línea: https://hdl.handle.net/10495/30420; https://revistas.ucm.es/index.php/REMA/article/view/16673
• Palabra clave: Transformación Celular Neoplásica; Cell Transformation, Neoplastic; beta distribution; Complex random matrix; Dirichlet distribution; Jacobian; Complex multivariate gamma function; Wishart distribution
• Rights: openAccess
• License: http://creativecommons.org/licenses/by/2.5/co/