The Generalized Gamma – Exponentiated Weibull Distribution with its Properties

In this paper, we present the Generalized Gamma-Exponentiated Weibull distribution as a special case of new generated Generalized Gamma - G family of probability distribution. The cumulative distribution, probability density, reliability and hazard rate functions are introduced. Furthermore, the mos...

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Main Authors: Salah Hamza Abid, Nadia Hashim Al-Noor, Mohammad Abd Alhussein Boshi
Format: Article
Language:Arabic
Published: Al-Mustansiriyah University 2020-04-01
Series:Mustansiriyah Journal of Science
Subjects:
Online Access:http://mjs.uomustansiriyah.edu.iq/ojs1/index.php/MJS/article/view/775
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spelling doaj-9fe9dc92f655419b9e64eae2915bc74b2020-11-25T02:27:25ZaraAl-Mustansiriyah UniversityMustansiriyah Journal of Science1814-635X2521-35202020-04-01312303710.23851/mjs.v31i2.775321The Generalized Gamma – Exponentiated Weibull Distribution with its PropertiesSalah Hamza Abid0Nadia Hashim Al-Noor1Mohammad Abd Alhussein Boshi2Department of Mathematics, College of Education, Mustansiriyah UniversityDepartment of Mathematics, College of Science, Mustansiriyah UniversityDepartment of Mathematics, College of Science, Mustansiriyah UniversityIn this paper, we present the Generalized Gamma-Exponentiated Weibull distribution as a special case of new generated Generalized Gamma - G family of probability distribution. The cumulative distribution, probability density, reliability and hazard rate functions are introduced. Furthermore, the most vital statistical properties, for instance, the r-th moment, characteristic function, quantile function, simulated data, Shannon and relative entropies besides the stress-strength model are obtained.http://mjs.uomustansiriyah.edu.iq/ojs1/index.php/MJS/article/view/775generated family, generalized gamma distribution, exponentiated weibull distribution.
collection DOAJ
language Arabic
format Article
sources DOAJ
author Salah Hamza Abid
Nadia Hashim Al-Noor
Mohammad Abd Alhussein Boshi
spellingShingle Salah Hamza Abid
Nadia Hashim Al-Noor
Mohammad Abd Alhussein Boshi
The Generalized Gamma – Exponentiated Weibull Distribution with its Properties
Mustansiriyah Journal of Science
generated family, generalized gamma distribution, exponentiated weibull distribution.
author_facet Salah Hamza Abid
Nadia Hashim Al-Noor
Mohammad Abd Alhussein Boshi
author_sort Salah Hamza Abid
title The Generalized Gamma – Exponentiated Weibull Distribution with its Properties
title_short The Generalized Gamma – Exponentiated Weibull Distribution with its Properties
title_full The Generalized Gamma – Exponentiated Weibull Distribution with its Properties
title_fullStr The Generalized Gamma – Exponentiated Weibull Distribution with its Properties
title_full_unstemmed The Generalized Gamma – Exponentiated Weibull Distribution with its Properties
title_sort generalized gamma – exponentiated weibull distribution with its properties
publisher Al-Mustansiriyah University
series Mustansiriyah Journal of Science
issn 1814-635X
2521-3520
publishDate 2020-04-01
description In this paper, we present the Generalized Gamma-Exponentiated Weibull distribution as a special case of new generated Generalized Gamma - G family of probability distribution. The cumulative distribution, probability density, reliability and hazard rate functions are introduced. Furthermore, the most vital statistical properties, for instance, the r-th moment, characteristic function, quantile function, simulated data, Shannon and relative entropies besides the stress-strength model are obtained.
topic generated family, generalized gamma distribution, exponentiated weibull distribution.
url http://mjs.uomustansiriyah.edu.iq/ojs1/index.php/MJS/article/view/775
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