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Abstract
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A new three parameter model called the odd log-logistic Marshall-Olkin-Lindley (OLLMO-L) distribution is
proposed and studied. This distribution is symmetric, platykurtic, leptokurtic and unimodal. Various structural
properties are derived, including explicit expressions for the ordinary and conditional moments, generating
function and order statistics. We use maximum likelihood method to estimate the parameters of model. Simulation studies for some particular cases are also run to assess the performance of the maximum likelihood
estimators. We prove empirically that the proposed distribution is a very competitive model to other classical
models by means of two real data sets
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