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Vol.3 , No. 5, Publication Date: Jan. 4, 2017, Page: 39-48
| [1] | Abd-Elfattah A. M., Institute of Statistical Studies & Research, Department of Mathematical Statistics, Cairo University, Cairo, Egypt. |
| [2] | Assar S. M., Institute of Statistical Studies & Research, Department of Mathematical Statistics, Cairo University, Cairo, Egypt. |
| [3] | Abd-Elghaffar H. I., Institute of Statistical Studies & Research, Department of Mathematical Statistics, Cairo University, Cairo, Egypt. |
Recently Cordeiro et al. [1] proposed a new class ofdistributions that extends exponentiated type distributions, named as exponentiated generalized class of distributions. Many special models are obtained from this class; one of them is exponentiated generalized Fréchet distribution. In this paper, some properties of the exponentiated generalized Fréchetdistribution will be discussed, including the shape of the probability density function, hazard rate function, and quantile function. The moment, the moment generating function and order statistics are obtained. Finally, the statistical properties of the model are provided and the method of maximum likelihood estimation was proposed in estimating its parameters.
Keywords
Exponentiated Generalized Fréchet Distribution, Hazard Function, Quantile Function, Moments, Order Statistics, Maximum Likelihood Method
Reference
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