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Abstract
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In this paper, a new family of continuous distributions called the
exponentiated transmuted-G family is proposed which extends the
transmuted-G family defined by Shaw and Buckley (2007). Some of its
mathematical properties including explicit expressions for the ordinary
and incomplete moments , generating function, Rényi and Shannon
entropies, and order statistics are derived. Some special models of the
new family are provided. The maximum likelihood is used for estimating
the model parameters. We provide the simulation results to assess
the performance of the proposed model. The usefulness and flexibility
of the new family is illustrated using real data
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