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Abstract
A new lifetime model called the odd exponentiated half-logistic Burr XII is defined and studied. Its density function
can be expressed as a linear mixture of Burr XII densities. The proposed model is capable of modeling various
shapes of hazard rate including decreasing, increasing, decreasing-increasing-constant, reversed J-shape, J-shape,
unimodal or bathtub shapes. Various of its structural properties are investigated. The maximum likelihood method is
adopted to estimate the model parameters. The flexibility of the new model is proved empirically using two real data
sets. It can serve as an alternative model to other lifetime distributions in the existing literature for modeling positive
real data in many areas
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