The Lomax-Lindley distribution: properties and applications to lifetime data

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dc.contributor.authorTarvirdizade, Bahman
dc.contributor.departmentOthertr_TR
dc.contributor.facultyOthertr_TR
dc.date.accessioned2022-12-23T12:12:27Z
dc.date.available2022-12-23T12:12:27Z
dc.date.issued2021
dc.description.abstractThis paper introduces a new three-parameter distribution which is obtained by combining the Lomax and Lindley distributions in a serial system and is called the Lomax-Lindley distribution. The new distribution is quite flexible to model lifetime data. This distribution provides a simple form for hazard rate function which can be increasing, decreasing, bathtub-shaped and unimodal for different choices of the parameter values. Some statistical properties of the Lomax-Lindley distribution such as quantiles, moments, order statistics, Renyi entropy and mean deviations are discussed. The maximum likelihood estimators of its unknown parameters are obtained and the approximate confidence intervals of the parameters are provided. A Monte Carlo simulation study is conducted to investigate the performance of the maximum likelihood estimators and their corresponding confidence intervals. Finally, two real data sets having bathtub-shaped and unimodal hazard rate functions are analyzed and it is shown that the proposed distribution can provide a better fit than other distributions for both lifetime data.tr_TR
dc.description.indexTrdizintr_TR
dc.identifier.endpage983tr_TR
dc.identifier.issn/e-issn1303-5991
dc.identifier.issue2tr_TR
dc.identifier.startpage965tr_TR
dc.identifier.urihttps://doi.org/10.31801/cfsuasmas.772812tr_TR
dc.identifier.urihttp://hdl.handle.net/20.500.12575/86422
dc.identifier.volume70tr_TR
dc.language.isoentr_TR
dc.publisherAnkara Üniversitesitr_TR
dc.relation.isversionof10.31801/cfsuasmas.772812tr_TR
dc.relation.journalCommunications, Series A1:Mathematics and Statisticstr_TR
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Başka Kurum Yazarıtr_TR
dc.subjectLomax distribution, Lindley distribution, maximum likehood estimation, lifetime data analysistr_TR
dc.titleThe Lomax-Lindley distribution: properties and applications to lifetime datatr_TR
dc.typeArticletr_TR

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Cilt:70 Sayı:02 (2021)