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Abstract
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This paper introduces a new lifetime distribution, the so-called odd log-logistic exponentiated Weibull distribution. The
new distribution has the advantage of being capable of modeling various shapes of aging and failure criteria. We derive
various of its structural properties including ordinary and incomplete moments, quantile and generating functions, and
order statistics. The new density function can be expressed as a linear mixture of exponentiated Weibull densities. We
propose a log-linear regression model using a new distribution, the log-odd log-logistic exponentiated Weibull distribution.
The maximum-likelihood method is used to estimate the model parameters. Simulation results to assess the performance of
the maximum-likelihood estimation are discussed. We prove empirically the importance and flexibility of the new model
by modeling four real data sets
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