A Bivariate Model based on Compound Negative Binomial Distribution

• Autores: Maha Omar, Fatimah Almuhayfith, Abdulhamid Alzaid
• Localización: Revista Colombiana de Estadística, ISSN-e 2389-8976, ISSN 0120-1751, Vol. 41, Nº. 1, 2018, págs. 87-108
• Idioma: inglés
• DOI: 10.15446/rce.v41n1.57803
• Títulos paralelos:
  • Un modelo basado en bivariadas compuesto distribución binomial negativa
• Enlaces
  • Texto completo
• Resumen
  • español

    Resumen Un nuevo modelo de dos variables se introduce mediante la composición distribuciones binomiales negativos y geométricos. propiedades distributivas, incluyendo distribuciones conjuntas, marginales y condicionales se discuten. se obtienen las expresiones para los momentos de productos, la covarianza y el coeficiente de correlación. Se estudian algunas propiedades tales como pedidos, unimodalidad, monotonía y la auto-decomposability. Estimadores de parámetros utilizando el método de los momentos y de máxima verosimilitud se derivan. Aplicaciones a los datos de accidentes de tráfico se ilustran.

  • English

    Abstract 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.

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