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Abstract
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In this study, we introduce a new model called the Extended Exponentiated Power
Lindley distribution which extends the Lindley distribution and has increasing, bathtub and upside down shapes for the hazard rate function. It also includes the power
Lindley distribution as a special case. Several statistical properties of the distribution are explored, such as the density, hazard rate, survival, quantile functions, and
moments. Estimation using the maximum likelihood method and inference on a random sample from this distribution are investigated. A simulation study is performed
to compare the performance of the different parameter estimates in terms of bias
and mean square error. We apply a real data set to illustrate the applicability of the
new model. Empirical findings show that proposed model provides better fits than
other well-known extensions of Lindley distributions.
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