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The generalized transmuted-G family of distributions

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ABSTRACT We introduce a new class of continuous distributions called the generalized transmuted-G family which extends the transmuted-G class. We provide six special models of the new family. Some of… Click to show full abstract

ABSTRACT We introduce a new class of continuous distributions called the generalized transmuted-G family which extends the transmuted-G class. We provide six special models of the new family. Some of its mathematical properties including explicit expressions for the ordinary and incomplete moments, generating function, Rényi and Shannon entropies, order statistics and probability weighted moments are derived. The estimation of the model parameters is performed by maximum likelihood. The flexibility of the proposed family is illustrated by means of three applications to real data sets.

Keywords: transmuted family; generalized transmuted; family distributions; family

Journal Title: Communications in Statistics - Theory and Methods
Year Published: 2017

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