The logistic-X family of distributions and its applications

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dc.contributor.authorTahir, M. H.
dc.contributor.authorCordeiro, Gauss M.
dc.contributor.authorAlzaatreh, Ayman
dc.contributor.authorMansoor, M.
dc.contributor.authorZubair, M.
dc.date.accessioned2017-01-09T05:52:03Z
dc.date.available2017-01-09T05:52:03Z
dc.date.issued2016-12-16
dc.description.abstractThe logistic distribution has a prominent role in the theory and practice of statistics. We introduce a new family of continuous distributions generated from a logistic random variable called the logistic-X family. Its density function can be symmetrical, left-skewed, right-skewed, and reversed-J shaped, and can have increasing, decreasing, bathtub, and upside-down bathtub hazard rates shaped. Further, it can be expressed as a linear combination of exponentiated densities based on the same baseline distribution. We derive explicit expressions for the ordinary and incomplete moments, quantile and generating functions, Bonferroni and Lorenz curves, Shannon entropy, and order statistics. The model parameters are estimated by the method of maximum likelihood and the observed information matrix is determined. We also investigate the properties of one special model, the logistic-Fréchet distribution, and illustrate its importance by means of two applications to real data sets.ru_RU
dc.identifier.citationTahir, M. H., Cordeiro, G. M., Alzaatreh, A., Mansoor, M., & Zubair, M. (2016). The logistic-X family of distributions and its applications. Communications in Statistics - Theory and Methods, 45(24), 7326-7349. DOI: 10.1080/03610926.2014.980516ru_RU
dc.identifier.urihttp://nur.nu.edu.kz/handle/123456789/2220
dc.language.isoenru_RU
dc.publisherCommunications in Statistics - Theory and Methodsru_RU
dc.rightsAttribution-NonCommercial-ShareAlike 3.0 United States*
dc.rights.urihttp://creativecommons.org/licenses/by-nc-sa/3.0/us/*
dc.subjectestimationru_RU
dc.subjectFréchet distributionru_RU
dc.subjectlogistic distributionru_RU
dc.subjectmomentru_RU
dc.subjectT-X familyru_RU
dc.titleThe logistic-X family of distributions and its applicationsru_RU
dc.typeArticleru_RU

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