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A New Five-Parameter Fréchet Model for Extreme Values

Author(s)
Muhammad Ahsan ul Haq College of Statistical and Actuarial Sciences University of the Punjab, Lahore, Pakistan
Haitham M. Yousof Department of Statistics, Mathematics and Insurance Benha University, Benha, Egypt
Sharqa Hashmi Lahore College of Women University (LCWU) Lahore, Pakistan
Abstract
A new five parameter Fréchet model for Extreme Values was proposed and studied. Various mathematical properties including moments, quantiles, and moment generating function were derived. Incomplete moments and probability weighted moments were also obtained. The maximum likelihood method was used to estimate the model parameters. The flexibility of the derived model was accessed using two real data set applications.
Publication Details
Page(s) 617-632
DOI DOI not available
Published Journal: Pakistan Journal of Statistics and Operation Research, Volume: 13, Issue: 3, Year: 2017

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Keywords
Moments, maximum likelihood, Hazard Rate, Hazard rate, Fréchet, Weibull-G
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