Alpha logarithm transformed fréchetdistribution: Properties and estimation

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dc.contributor.authorDey, Sanku
dc.contributor.authorNassar, Mazen
dc.contributor.authorKumar, Devendra
dc.contributor.authorAlaboud, Fahad
dc.date.accessioned2023-05-01T19:16:37Z
dc.date.available2023-05-01T19:16:37Z
dc.date.issued2019
dc.description.abstractIn this paper, a new three-parameter distribution called the Alpha Logarithm Transformed Fr echet (ALTF) distribution is introduced which o ers a more exible distribution for modeling lifetime data. Various properties of the proposed distribu- tion, including explicit expressions for the quantiles, moments, incomplete moments, conditional moments, moment generating function R enyi and -entropies, stochastic ordering, stress-strength reliability and order statistics are derived. The new dis- tribution can have decreasing, reversed J-shaped and upside-down bathtub failure rate functions depending on its parameter values. The maximum likelihood method is used to estimate the distribution parameters. A simulation study is conducted to evaluate the performance of the maximum likelihood estimates. Finally, the pro- posed extended model is applied on real data sets and the results are given which illustrate the superior performance of the ALTF distribution compared to some other well-known distributions.en_US
dc.identifier.urihttp://hdl.handle.net/123456789/1067
dc.language.isoenen_US
dc.publisherAustrian Journal of Statisticsen_US
dc.subjectlogarithm transformed distribution, hazard rate function, maximum likeli- hood estimation, asymptotic variance-covariance matrix.en_US
dc.titleAlpha logarithm transformed fréchetdistribution: Properties and estimationen_US
dc.typeArticleen_US
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