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Abstract
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We introduce a new class of continuous distributions called the odd exponentiated half-
logistic-G family. Some special models of the new family are provided. These special
models are capable of modeling various shapes of aging and failure criteria. Some of its
mathematical properties including explicit expressions for the ordinary and incomplete
moments, generating function, Rényi and Shannon entropies, order statistics, probability
weighted moments and characterizations are obtained. The maximum likelihood method
is used for estimating the model parameters. The flexibility of the generated family is
illustrated by means of three applications to real data sets.
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