The Odd Log-Logistic Dagum Distribution: Properties and Applications

• Autores: Filippo Domma, Abbas Eftekharian, A. A. Afifi, Morad Alizadeh, Indranil Ghosh
• Localización: Revista Colombiana de Estadística, ISSN-e 2389-8976, ISSN 0120-1751, Vol. 41, Nº. 1, 2018, págs. 109-135
• Idioma: inglés
• DOI: 10.15446/rce.v41n1.66542
• Títulos paralelos:
  • La distribución Odd Log-Logistica de Dagum: propiedades y aplicaciones
• Enlaces
  • Texto completo
• Resumen
  • español

    Resumen Este artículo introduce un nuevo modelo de sobrevida de cuatro parámetros llamado la distribución Odd Log-Logistica de Dagum. El nuevo modelo tiene la ventaja de ser capaz de modelar varias formas de envejecimiento y criterios de falla. Derivamos propiedades estructurales del modelo Odd Log-Logistica de Dagum tales como estadísticos de orden y momentos incompletos. El método de máxima verosimilitud es usado para estimar los parámetros del modelo. Se discuten resultados de algunas simulaciones, las cuales permitieron establecer la eficiencia del método de máxima verosimilitud. Probamos empíricamente la importancia y flexibilidad del nuevo modelo a través de un ejemplo en datos reales.

  • English

    Abstract This paper introduces a new four-parameter lifetime model called the odd log-logistic Dagum distribution. The new model has the advantage of being capable of modeling various shapes of aging and failure criteria. We derive some structural properties of the model odd log-logistic Dagum such as order statistics and incomplete moments. The maximum likelihood method is used to estimate the model parameters. Simulation results to assess the performance of the maximum likelihood estimation are discussed. We prove empirically the importance and flexibility of the new model in modeling real data.

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