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Abstract
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We introduce a new class of continuous distributions called the complementary genera-
lized transmuted Poisson-G family, which extends the transmuted class pioneered by Shaw
and Buckley (2007). We provide some special models and derive general mathematical
properties including quantile function, explicit expressions for the ordinary and incomplete
moments, generating function, Rényi and Shannon entropies and order statistics. The
estimation of the model parameters is performed by maximum likelihood. The flexibility
of the new family is illustrated by means of two applications to real data sets.
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