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The Extended Fréchet Distribution: Properties and Applications
Author(s):
1. Mohamed Zayed: Department of Statistics, Mathematics and Insurance Benha University, Egypt
2. Nadeem Shafique Butt: Faculty of Medicine in Rabigh, King Abdulaziz University, Jeddah, Saudi Arabia
Abstract:
In this paper, we study a new model called the Burr X exponentiated Fréchet Distribution. The new model exhibits unimodal, unimodal then buthtab and buthtab hazard rates. Various properties of the new model are explored including moments, generating function, probability weighted moments, Stress-strength model and order statisics. The maximum likelihood method is used to estimate the model parameters. Simulation results to assess the performance of the maximum likelihood estimates are discussed. We compare the flexibility of the proposed model with other extensions of the Fréchet distribution by means of two real data sets.
Page(s): 529-543
DOI: DOI not available
Published: Journal: Pakistan Journal of Statistics and Operation Research, Volume: 13, Issue: 3, Year: 2017
Keywords:
maximum likelihood , Fréchet distribution , Simulation , Burr X family
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