Bivariate Topp-Leone family of distributions

The Topp-Leone family of univariate distributions has drawn considerable attention in recent years. In this article, we define a bivariate generalization of the Topp-Leone distribution. Moreover, we derive several results such as marginal and conditional distributions, joint moments, correlation coefficient, and Fisher information matrix. Furthermore, we derive the exact distributions of X + Y , X/(X + Y ) and XY when X and Y follow bivariate Topp-Leone distribution.

• Autores: Nagar, Daya Krishna; Zarrazola Rivera, Edwin de Jesús; Echeverri Valencia,Santiago
• Tipo de recurso: Article of investigation
• Fecha de publicación: 2022
• Institución: Universidad de Antioquia
• Repositorio: Repositorio UdeA
• Idioma: eng
• OAI Identifier: oai:bibliotecadigital.udea.edu.co:10495/46935
• Acceso en línea: https://hdl.handle.net/10495/46935
• Palabra clave: Transformaciones (Matemáticas); Transformations (Mathematics); Método de momentos (estadística); Moments method (Statistics); Distribución hipergeométrica; Hypergeometric distribution; Funciones hipergeométricas; Hypergeometric functions; Bivariate distribution; Fisher information matrix; Topp-Leone distribution; http://id.loc.gov/authorities/subjects/sh85136920; http://id.loc.gov/authorities/subjects/sh85086656
• Rights: openAccess
• License: http://purl.org/coar/access_right/c_abf2