The Extended Inverse Weibull Distribution: Properties and Applications. (20th October 2020)

• Record Type: Journal Article
• Authors: Alkarni, Said; Afify, Ahmed Z.; Elbatal, I.; Elgarhy, M.
• Other Names: Zargarzadeh Hassan Academic Editor.
• Is Part Of: Complexity. Volume 2020(2020)
• Publication Date: 2020-10-20
• Subjects: Chaotic behavior in systems -- Periodicals; Complexity (Philosophy) -- Periodicals; 003
• DOI: 10.1155/2020/3297693
• Languages: English
• ISSNs: 1076-2787

Abstract

Abstract : 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.