A Bivariate Model based on Compound Negative Binomial Distribution

A new bivariate model is introduced by compounding negative binomial and geometric distributions. Distributional properties, including joint, marginal and conditional distributions are discussed. Expressions for the product moments, covariance and correlation coefficient are obtained. Some properties such as ordering, unimodality, monotonicity and self-decomposability are studied. Parameter estimators using the method of moments and maximum likelihood are derived. Applications to traffic accidents data are illustrated.

• Autores: Omair, Maha Ahmad; AlMuhayfith, Fatimah E; Alzaid, Abdulhamid A
• Tipo de recurso: Article of journal
• Fecha de publicación: 2018
• Institución: Universidad Nacional de Colombia
• Repositorio: Universidad Nacional de Colombia
• Idioma: spa
• OAI Identifier: oai:repositorio.unal.edu.co:unal/66489
• Acceso en línea: https://repositorio.unal.edu.co/handle/unal/66489; http://bdigital.unal.edu.co/67517/
• Palabra clave: 51 Matemáticas / Mathematics; 31 Colecciones de estadística general / Statistics; coeficiente de correlación; distribución binomial negativa; distribución bivariada; distribución compuesto; distribución geométrica; divisibilidad; momentos; positividad total; bivariate distribution; Compound distribution; Negative binomial; Divisibility; Geometric distribution; Moments; Correlation coefficient; Total positivity.National Plan for Science; Technology and Innovation (MAARIFAH); King Abdulaziz City for Science and
• Rights: openAccess
• License: Atribución-NoComercial 4.0 Internacional