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Dr. Mohamed Sewalim El-sayed Hamed :: Publications:

Title:
The Burr X Fréchet Distribution with Its Properties and Applications
Authors: T. H. M. Abouelmagd and M. S. Hamed; Ahmed Z. Afify;
Year: 2018
Keywords: Burr X G-Family, Frechet Distribution, Maximum Like- lihood, Moment, Order Statistics, Renyi Entropy.
Journal: Journal of Applied Probability & Statistics
Volume: 13
Issue: 1
Pages: 23-51
Publisher: ISSOSS Publishing
Local/International: International
Paper Link:
Full paper Mohamed Sewalim Elsayed Hamed_THE BURR X FRECHET DISTRIBUTION WITH ITS ´.pdf
Supplementary materials Not Available
Abstract:

In this paper we de ne and study a new three-parameter lifetime model called the Burr X Frechet distribution. The new model has the advantage of being capable of modeling various shapes of aging and failure criteria. Various of its properties including ordinary and incomplete moments, quantile and generating functions, Renyi and -entropies and order statistics are derived. The maximum likeli- hood method is used to estimate the model parameters. Simulation results to assess the performance of the maximum likelihood estimation are discussed. We prove empirically the importance and exibility of the new model comparing it with other extensions of the Frechet distribution in the existing literature.

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