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Improved Shape Parameter Estimation for the Three-Parameter Log-Logistic Distribution

dc.contributor.authorMateus, Ayana
dc.contributor.authorCaeiro, Frederico
dc.contributor.institutionCMA - Centro de Matemática e Aplicações
dc.contributor.institutionDM - Departamento de Matemática
dc.contributor.pblWiley
dc.date.accessioned2022-08-24T22:16:19Z
dc.date.available2022-08-24T22:16:19Z
dc.date.issued2022-02-13
dc.description
dc.description.abstractThe log-logistic distribution is widely used in different fields of study such as survival analysis, hydrology, insurance, and economics. Recently, Ahsanullah and Alzaatreh studied the best linear unbiased estimators for the location and the scale parameters of the three-parameter log-logistic model. The same authors also propose a shift-invariant Hill estimator for the unknown shape parameter. In this work, we propose a new estimation method for the shape parameter. We derive its nondegenerate asymptotic behaviour and analyse its finite sample performance through a Monte Carlo simulation study. To have precise estimates, we present a method for selecting the threshold. To illustrate the improvement achieved, efficiency comparisons are also provided.en
dc.description.versionpublishersversion
dc.description.versionpublished
dc.format.extent13
dc.format.extent801534
dc.identifier.doi10.1155/2022/8400130
dc.identifier.issn2577-7408
dc.identifier.otherPURE: 42510751
dc.identifier.otherPURE UUID: 3c7b5a8d-9d98-4889-ac19-1cee062eecef
dc.identifier.otherORCID: /0000-0002-5630-3321/work/108135228
dc.identifier.otherWOS: 000779970100007
dc.identifier.urihttp://hdl.handle.net/10362/143272
dc.language.isoeng
dc.peerreviewedyes
dc.relationinfo:eu-repo/grantAgreement/FCT/6817 - DCRRNI ID/UIDB%2F00297%2F2020/PT
dc.relationCenter for Mathematics and Applications
dc.relationCenter for Mathematics and Applications
dc.titleImproved Shape Parameter Estimation for the Three-Parameter Log-Logistic Distributionen
dc.typejournal article
degois.publication.firstPage1
degois.publication.lastPage13
degois.publication.titleComputational and Mathematical Methods
degois.publication.volume2022
dspace.entity.typePublication
oaire.awardNumberUIDB/00297/2020
oaire.awardNumberUIDP/00297/2020
oaire.awardTitleCenter for Mathematics and Applications
oaire.awardTitleCenter for Mathematics and Applications
oaire.awardURIinfo:eu-repo/grantAgreement/FCT/6817 - DCRRNI ID/UIDB%2F00297%2F2020/PT
oaire.awardURIinfo:eu-repo/grantAgreement/FCT/6817 - DCRRNI ID/UIDP%2F00297%2F2020/PT
oaire.fundingStream6817 - DCRRNI ID
oaire.fundingStream6817 - DCRRNI ID
project.funder.identifierhttp://doi.org/10.13039/501100001871
project.funder.identifierhttp://doi.org/10.13039/501100001871
project.funder.nameFundação para a Ciência e a Tecnologia
project.funder.nameFundação para a Ciência e a Tecnologia
rcaap.rightsopenAccess
relation.isProjectOfPublicationd00ae22f-ec2b-47b2-935e-60cb44493cc6
relation.isProjectOfPublication65d392f7-8781-4d70-b9f3-069b07d4a311
relation.isProjectOfPublication.latestForDiscoveryd00ae22f-ec2b-47b2-935e-60cb44493cc6

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