The Gamma-Exponentiated Weibull Distribution

نویسندگان

  • Luis Gustavo B. Pinho
  • Gauss M. Cordeiro
  • Juvêncio S. Nobre
  • L. G. B. Pinho
  • G. M. Cordeiro
  • J. S. Nobre
چکیده

We study the gamma-exponentiated Weibull distribution which includes as special cases several models such as the exponential, Weibull, exponentiatedWeibull, gamma-exponentiated exponential and exponentiated exponential distributions. This new distribution might be useful for failure time data analysis. We demonstrate that its density function is an infinite linear combination of Weibull densities. Some mathematical properties of the new distribution are derived, such as moments, distribution of the order statistics, Shannon and Rényi entropies and maximum entropy characterization. Maximum likelihood estimation of the model parameters is investigated and an application to a real dataset illustrates its potentiality.

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تاریخ انتشار 2012