The Kumaraswamy Flexible Weibull Extension


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Authors

  • M. A. El-Damcese Department of Mathematics, Faculty of Science, Tanta University, Egypt
  • Abdelfattah Mustafa Department of Mathematics, Faculty of Science, Mansoura University, Mansoura, Egypt
  • B. S. El-Desouky Department of Mathematics, Faculty of Science, Mansoura University, Mansoura, Egypt
  • M. E. Mustafa Department of Mathematics, Faculty of Science, Mansoura University, Mansoura, Egypt

Keywords:

Flexible weibull extension, Kumaraswamy distribution, Moment generating function, Maximum likelihood estimation

Abstract

This paper introduces a new continuous distribution which is a generalization of the flexible weibull extension, called the kumaraswamy flexible weibull extension distribution. We refer to the new distribution as KW-FWE for short. We obtain some of its mathematical properties, also some structural properties of this new distribution are studied. We provide an explicit expressions for the moments and the moment generating function. The method of maximum likelihood is used to evaluate the model parameters . We illustrate the usefulness of the proposed model by applications to real data.

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Published

30-01-2016

How to Cite

M. A. El-Damcese, Abdelfattah Mustafa, B. S. El-Desouky, & M. E. Mustafa. (2016). The Kumaraswamy Flexible Weibull Extension. International Journal of Mathematics And Its Applications, 4(1 - A), 1–14. Retrieved from http://ijmaa.in/index.php/ijmaa/article/view/540

Issue

Vol. 4 No. 1 - A (2016)

Section

Research Article

License

Creative Commons License

This work is licensed under a Creative Commons Attribution-NonCommercial 4.0 International License.