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Generalized Inverted Kumaraswamy Distribution: Properties and Application

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Document pages: 19 pages

Abstract: The techniques to find appropriate new models for data sets are very popularnowadays among the researchers of this area where existed models in the literatureare not suitable. In this paper, a new distribution, generalized invertedKumaraswamy (GIKum) distribution is introduced. The main aims of this researchare to develop a general form of inverted Kumaraswamy (IKum) distributionwhich is flexible than the IKum distribution and all of its related andsub models. Some properties of GIKum distribution such as measures of centraltendency and dispersion, models of stress-strength, limiting distributions,characterization of GIKum distribution and related probability distributionsthrough some specific transformations are derived. The mathematical expressionsof reliability function (r.f) and the hazard rate function (hrf) of the GIKumdistribution are found and presented through their graphs. The parametersestimation through the maximum likelihood (ML) estimation method isused and the results are applied to the data set of prices of wooden toys of 31children.

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