International Journal of Reliability and Applications

The Korean Reliability Society (한국신뢰성학회)
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A new generalization of exponentiated Frechet distribution

  • Diab, L.S. (Department of Mathematics, College of Science for (girls), Al-Azhar University) ;
  • Elbatal, I. (Department of Mathematics and statistics, College of Science, Al Imam Mohammad Ibn Saud Islamic University)
  • Received : 2015.09.14
  • Accepted : 2016.06.13
  • Published : 2016.06.30
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Abstract

Motivated by the recent work of Cordeiro and Castro (2011), we study the Kumaraswamy exponentiated Frechet distribution (KEF). We derive some mathematical properties of the (KEF) including moment generating function, moments, quantile function and incomplete moment. We provide explicit expressions for the density function of the order statistics and their moments. In addition, the method of maximum likelihood and least squares and weighted least squares estimators are discuss for estimating the model parameters. A real data set is used to illustrate the importance and flexibility of the new distribution.

Keywords

References

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