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The Exponentiated Marshall-Olkin Fréchet Distribution
Author(s):
1. Mahmoud M. Mansour: College of Business Administration, Yanbu Department of MIS Taibah University, Saudi Arabia; Department of Statistics, Mathematics and Insurance Benha University, Egypt
2. Enayat M. Abd Elrazik: College of Business Administration, Yanbu Department of MIS Taibah University, Saudi Arabia; Department of Statistics, Mathematics and Insurance Benha University, Egypt
3. Nadeem Shafique Butt: Department of Family and Community Medicine King Abdul Aziz University, Jeddah, Kingdom of Saudi Arabia
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.
Page(s): 57-74
DOI: DOI not available
Published: Journal: Pakistan Journal of Statistics and Operation Research, Volume: 14, Issue: 1, Year: 2018
Keywords:
Goodnessoffit , Fréchet distribution , Generating Function , Maximum Likelihood , Order Statistic , Exponentiated MarshallOlkinG Family
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