The Exponentiated Fréchet Generator of Distributions with Applications

The Exponentiated Fréchet Generator of Distributions with Applications

In this article, we introduce the exponentiated Fréchet-G family of distributions. Several models of the introduced exponentiated Fréchet-G family are presented. The proposed family is precisely more flexible and effective in modeling complex data and is instrumental in reliability analysis. It cove...

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Main Authors: Lamya A. Baharith, Hanan H. Alamoudi
Format: Article
Language:English
Published: MDPI AG 2021-03-01
Series:Symmetry
Subjects:
probability distributions
exponentiated Fréchet distribution
order statistics
entropy
Online Access:https://www.mdpi.com/2073-8994/13/4/572
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spelling doaj-52e7779e3c814b51ba8712b742346f152021-03-30T23:05:46ZengMDPI AGSymmetry2073-89942021-03-011357257210.3390/sym13040572The Exponentiated Fréchet Generator of Distributions with ApplicationsLamya A. Baharith0Hanan H. Alamoudi1Department of Statistics, Faculty Science, King Abdul-Aziz University, Jeddah 21589, Saudi ArabiaDepartment of Statistics, Faculty Science, King Abdul-Aziz University, Jeddah 21589, Saudi ArabiaIn this article, we introduce the exponentiated Fréchet-G family of distributions. Several models of the introduced exponentiated Fréchet-G family are presented. The proposed family is precisely more flexible and effective in modeling complex data and is instrumental in reliability analysis. It covers a wide variety of shapes, such as unimodal, reverse J, right-skewed, symmetrical, and asymmetrical shapes. Various structural mathematical properties, such as the quantile, moment, incomplete moment, entropy, and order statistics, are derived. The parameters are evaluated using a parametric estimation method. The performance and flexibility of the exponentiated Fréchet-G family are analyzed via a simulation and two applications; one deals with reliability data, and the other deals with medical data.https://www.mdpi.com/2073-8994/13/4/572probability distributionsexponentiated Fréchet distributionorder statisticsentropy
collection DOAJ
language English
format Article
sources DOAJ
author Lamya A. Baharith
Hanan H. Alamoudi
spellingShingle Lamya A. Baharith
Hanan H. Alamoudi
The Exponentiated Fréchet Generator of Distributions with Applications
Symmetry
probability distributions
exponentiated Fréchet distribution
order statistics
entropy
author_facet Lamya A. Baharith
Hanan H. Alamoudi
author_sort Lamya A. Baharith
title The Exponentiated Fréchet Generator of Distributions with Applications
title_short The Exponentiated Fréchet Generator of Distributions with Applications
title_full The Exponentiated Fréchet Generator of Distributions with Applications
title_fullStr The Exponentiated Fréchet Generator of Distributions with Applications
title_full_unstemmed The Exponentiated Fréchet Generator of Distributions with Applications
title_sort exponentiated fréchet generator of distributions with applications
publisher MDPI AG
series Symmetry
issn 2073-8994
publishDate 2021-03-01
description In this article, we introduce the exponentiated Fréchet-G family of distributions. Several models of the introduced exponentiated Fréchet-G family are presented. The proposed family is precisely more flexible and effective in modeling complex data and is instrumental in reliability analysis. It covers a wide variety of shapes, such as unimodal, reverse J, right-skewed, symmetrical, and asymmetrical shapes. Various structural mathematical properties, such as the quantile, moment, incomplete moment, entropy, and order statistics, are derived. The parameters are evaluated using a parametric estimation method. The performance and flexibility of the exponentiated Fréchet-G family are analyzed via a simulation and two applications; one deals with reliability data, and the other deals with medical data.
topic probability distributions
exponentiated Fréchet distribution
order statistics
entropy
url https://www.mdpi.com/2073-8994/13/4/572
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AT hananhalamoudi theexponentiatedfrechetgeneratorofdistributionswithapplications
AT lamyaabaharith exponentiatedfrechetgeneratorofdistributionswithapplications
AT hananhalamoudi exponentiatedfrechetgeneratorofdistributionswithapplications
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