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Keywords
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Lindley distribution, odd log-logistic generalised family, moments, Bayesian
analysis, simulation study.
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Abstract
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In this paper, a new three-parameter lifetime model, called the odd log-logistic generalised
Lindley distribution, is introduced. Some structural properties of the new distribution including
ordinary and incomplete moments, quantile and generating functions and order statistics
are obtained. The new density function can be expressed as a linear mixture of exponentiated
Lindley densities. Different methods are discussed to estimate the model parameters
and a simulation study is carried out to show the performance of the new distribution. The
importance and flexibility of the new model are also illustrated empirically by means of two
real data sets. Finally, Bayesian analysis and Gibbs sampling are performed based on the
two real data sets.
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