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Toward the establishment of a family of distributions that may fit any dataset
Authors:H M Barakat  O M Khaled
Institution:1. Faculty of Science, Zagazig University, Zagazig, Egypt;2. Department of Mathematics, Faculty of Science, Port Said University, Port Said, Egypt
Abstract:This article presents a review and comparison of the most important expanded families of distributions. We set the essential requirements by which an expanding family can fit any dataset successfully. A new method is proposed to construct families, which fulfill these essential requirements. Consequently, two families are suggested, which are more tractable than many other known families and possess very wide range of the indices of skewness and kurtosis. The article is motivated by two applications to real dataset.
Keywords:Data modeling  Full family of distributions  Kurtosis  Mixture distribution  Skewness
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