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Abstract
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In this paper, a new class of distributions called the odd log-logistic Lindley-G family is
proposed. Several of its statistical and reliability properties are studied in-detail. One
members of the proposed family can have symmetrical, right-skewed, leftt-skewed
and reversed-J shaped densities, and decreasing, increasing, bathtub, unimodal and
reversed-J shaped hazard rates. The model parameters are estimated using the maximum likelihood and Bayesian methods. Monte-Carlo simulation study is carried out
to examine the bias and mean square error of maximum likelihood and Bayesian estimators. Finally, four real data sets are analyzed to show the flexibility of the new
family
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