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Abstract
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In this article, a new four-parameter model is introduced which can be used in mod-
eling survival data and fatigue life studies. Its failure rate function can be increasing,
decreasing, upside down and bathtub-shaped depending on its parameters. We derive
explicit expressions for some of its statistical and mathematical quantities. Some useful
characterizations are presented. Maximum likelihood method is used to estimate the model
parameters. The censored maximum likelihood estimation is presented in the general case
of the multi-censored data. We demonstrate empirically the importance and flexibility of
the new model in modeling a real data set.
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