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Abstract
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The Weibull distribution is one of the most popular and widely
used model for failure time in life-testing and reliability theory. In this study,
we introduce a new class of continuous distributions called the extended odd
Weibull-G family. Special models of new family are provided. Various struc-
tural properties including explicit expressions for the ordinary and incomplete
moments, generating function, Rényi and Shannon entropies, order statis-
tics and probability weighted moments are derived. The maximum likelihood
method is used for estimating model parameters. The flexibility of the gener-
ated family is illustrated by means of two applications to real data sets
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