The Extended Inverse Weibull Distribution: Properties and Applications

The Extended Inverse Weibull Distribution: Properties and Applications

This paper proposes the new three-parameter type I half-logistic inverse Weibull (TIHLIW) distribution which generalizes the inverse Weibull model. The density function of the TIHLIW can be expressed as a linear combination of the inverse Weibull densities. Some mathematical quantities of the propos...

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Main Authors: Said Alkarni, Ahmed Z. Afify, I. Elbatal, M. Elgarhy
Format: Article
Language:English
Published: Hindawi-Wiley 2020-01-01
Series:Complexity
Online Access:http://dx.doi.org/10.1155/2020/3297693
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spelling doaj-45f310b08451401b81f6aac8945ed8372020-11-25T04:01:59ZengHindawi-WileyComplexity1076-27871099-05262020-01-01202010.1155/2020/32976933297693The Extended Inverse Weibull Distribution: Properties and ApplicationsSaid Alkarni0Ahmed Z. Afify1I. Elbatal2M. Elgarhy3Department of Quantitative Analysis, King Saud University, Riyadh, Saudi ArabiaDepartment of Statistics, Mathematics and Insurance, BenhaUniversity, Banha, EgyptDepartment of Mathematics and Statistics, College of Science, Imam Mohammad Ibn Saud Islamic University (IMSIU), Riyadh, Saudi ArabiaValley High Institute for Management Finance and Information Systems, Obour, Qaliubia, EgyptThis paper proposes the new three-parameter type I half-logistic inverse Weibull (TIHLIW) distribution which generalizes the inverse Weibull model. The density function of the TIHLIW can be expressed as a linear combination of the inverse Weibull densities. Some mathematical quantities of the proposed TIHLIW model are derived. Four estimation methods, namely, the maximum likelihood, least squares, weighted least squares, and Cramér–von Mises methods, are utilized to estimate the TIHLIW parameters. Simulation results are presented to assess the performance of the proposed estimation methods. The importance of the TIHLIW model is studied via a real data application.http://dx.doi.org/10.1155/2020/3297693
collection DOAJ
language English
format Article
sources DOAJ
author Said Alkarni
Ahmed Z. Afify
I. Elbatal
M. Elgarhy
spellingShingle Said Alkarni
Ahmed Z. Afify
I. Elbatal
M. Elgarhy
The Extended Inverse Weibull Distribution: Properties and Applications
Complexity
author_facet Said Alkarni
Ahmed Z. Afify
I. Elbatal
M. Elgarhy
author_sort Said Alkarni
title The Extended Inverse Weibull Distribution: Properties and Applications
title_short The Extended Inverse Weibull Distribution: Properties and Applications
title_full The Extended Inverse Weibull Distribution: Properties and Applications
title_fullStr The Extended Inverse Weibull Distribution: Properties and Applications
title_full_unstemmed The Extended Inverse Weibull Distribution: Properties and Applications
title_sort extended inverse weibull distribution: properties and applications
publisher Hindawi-Wiley
series Complexity
issn 1076-2787
1099-0526
publishDate 2020-01-01
description This paper proposes the new three-parameter type I half-logistic inverse Weibull (TIHLIW) distribution which generalizes the inverse Weibull model. The density function of the TIHLIW can be expressed as a linear combination of the inverse Weibull densities. Some mathematical quantities of the proposed TIHLIW model are derived. Four estimation methods, namely, the maximum likelihood, least squares, weighted least squares, and Cramér–von Mises methods, are utilized to estimate the TIHLIW parameters. Simulation results are presented to assess the performance of the proposed estimation methods. The importance of the TIHLIW model is studied via a real data application.
url http://dx.doi.org/10.1155/2020/3297693
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