The exponentiated power Lomax distribution and its applications

In this paper, a new extension of Lomax distribution called the exponentiated power Lomax (EPOLO) distribution is proposed. The proposed model accommodates monotonically increasing, decreasing, and unimodal hazard rates. A full study of the proposed model parameters using four techniques is introduc...

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Bibliographic Details
Published inQuality and reliability engineering international Vol. 37; no. 3; pp. 1035 - 1058
Main Authors El‐Monsef, Mohamed Mohamed Ezzat Abd, Sweilam, Nasser Hassan, Sabry, Mariam Atta
Format Journal Article
LanguageEnglish
Published Bognor Regis Wiley Subscription Services, Inc 01.04.2021
Subjects
Ball bearings
Covid‐19
Electric power distribution
exponentiated power Lomax distribution
goodness of fit
limiting distribution
maximum likelihood estimators
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Summary:In this paper, a new extension of Lomax distribution called the exponentiated power Lomax (EPOLO) distribution is proposed. The proposed model accommodates monotonically increasing, decreasing, and unimodal hazard rates. A full study of the proposed model parameters using four techniques is introduced and a simulation study is performed to examine the performance of the four methods of estimation for both complete and censored data. EPOLO distribution is utilized to fit the number of revolutions of ball bearings, the tumor size of lung cancer patients, and the confirmed total deaths of the COVID‐19 in Egypt and it provides better fits than some well‐known distributions.
ISSN:0748-8017
1099-1638
DOI:10.1002/qre.2780