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Abstract
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We introduce a new class of distributions called the flexible Weibull generated family. We obtain some of its mathematical properties. The special models of this
family provide bathtub-shaped, decreasing-increasing, increasing-decreasing-increasing,
decreasing-increasing-decreasing, monotone, unimodal and bimodal hazard functions.
Some useful characterizations are presented. The maximum likelihood method is adopted
for estimating the model parameters. We assess the performance of the maximum likelihood estimators by means of a graphical simulation study. The flexibility and importance
of the proposed model are illustrated by means of its application to three real data sets.
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