The exponentiated discrete Weibull Distribution

• Vahid Nekoukhou ^[1] ; Hamid Bidram ^[1]
  1. [1] University of Isfahan

     University of Isfahan

     Irán

     
• Localización: Sort: Statistics and Operations Research Transactions, ISSN 1696-2281, Vol. 39, Nº. 1, 2015, págs. 127-146
• Idioma: inglés
• Enlaces
  • Texto completo (pdf)
• Resumen

  • In this paper, the exponentiated discreteWeibull distribution is introduced. This new generalization of the discrete Weibull distribution can also be considered as a discrete analog of the exponenti- ated Weibull distribution. A special case of this exponentiated discrete Weibull distribution defines a new generalization of the discrete Rayleigh distribution for the first time in the literature. In ad- dition, discrete generalized exponential and geometric distributions are some special sub-models of the new distribution. Here, some basic distributional properties, moments, and order statistics of this new discrete distribution are studied. We will see that the hazard rate function can be in- creasing, decreasing, bathtub, and upside-down bathtub shaped. Estimation of the parameters is illustrated using the maximum likelihood method. The model with a real data set is also examined.

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