Published

2017-01-16

Double Generalized Beta-Binomial and Negative Binomial Regression Models

Modelos de regresión beta-binomial y binomial negativa doblemente generalizados

DOI:

https://doi.org/10.15446/rce.v40n1.61779

Keywords:

Bayesian Approach, Beta-Binomial Distribution, Distribution, Gamma Distribution, Negative Binomial, Overdispersion, Poisson Distribution (en)
Distribución beta-binomial, Distribución binomial negativa, Distribución de Poisson, Distribución gamma, Enfoque bayesiano, Sobredispersión. (es)

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Authors

  • Edilberto Cepeda-Cuervo Departamento Estadística, Facultad de Ciencias, Universidad Nacional de Colombia, Bogotá, Colombia
  • María Victoria Cifuentes-Amado Departamento Matemáticas, Facultad de Ciencias, Universidad Nacional de Colombia, Bogotá, Colombia
Overdispersion is a common phenomenon  in count datasets, that can greatly affect inferences about the model. In this paper develop three joint mean and dispersion regression models in order to fit overdispersed data. These models are based on  reparameterizations of the beta-binomial and negative binomial distributions. Finally, we propose a Bayesian approach to estimate the parameters of the overdispersion regression models and use it to fit a school absenteeism dataset.

La sobredispersión es un fenómeno común en conjuntos de datos de conteo, que puede afectar en alto grado las inferencias relacionadas con el modelo. En este artículo desarrollamos tres modelos de regresión conjunta de media y dispersión para ajustar datos sobredispersos. Estos modelos se basan en reparameterizaciones de las distribuciones beta-binomial y binomial negativa. Finalmente, proponemos un enfoque Bayesiano para la estimación de los parámetros de los modelos de regresión sobredispersos y lo utilizamos para ajustar un conjunto de datos de ausentismo escolar

References

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How to Cite

Cepeda-Cuervo, E., & Cifuentes-Amado, M. V. (2017). Double Generalized Beta-Binomial and Negative Binomial Regression Models. Revista Colombiana De Estadística, 40(1), 141-163. https://doi.org/10.15446/rce.v40n1.61779

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