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Dr. Mahmoud Mansour Mohamed Mansour :: Publications:

Title:
The Exponentiated Marshall-Olkin Fréchet Distribution
Authors: Mahmoud M. Mansour, Enayat M. Abd Elrazik, Nadeem Shafique Butt
Year: 2018
Keywords: Exponentiated Marshall-Olkin-G Family, Fréchet Distribution, Generating Function, Goodness-of-fit, Maximum Likelihood, Order Statistic
Journal: Pakistan Journal of Statistics and Operation Research
Volume: 14
Issue: 1
Pages: 57-74
Publisher: Not Available
Local/International: International
Paper Link:
Full paper Mahmoud Mansour Mohamed Mansour_2286-8207-1-PB.pdf
Supplementary materials Not Available
Abstract:

A new five-parameter model called the exponentiated Marshall-Olkin Fréchet distribution is studied. Various of its mathematical properties including ordinary and incomplete moments, quantile and generating functions and order statistics are investigated. The proposed density function can be expressed as a linear mixture of Fréchet densities. The maximum likelihood method is used to estimate the model parameters. The flexibility of the new distribution is proved empirically using two real data sets.

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