Gamze ÖZEL, Selen CAKMAKYAPAN

The Lindley family of distributions: properties and applications ∗† and Gamze Ozel‡

In this paper, we propose a new class of distributions called the Lindleygenerator with one extra parameter to generate many continuous distributions.The new distribution contains several distributions as submodels,such as Lindley-Exponential, Lindley-Weibull, and LindleyLomax.Some mathematical properties of the new generator, includingordinary moments, quantile and generating functions, limiting behaviors,some entropy measures and order statistics, which hold for anybaseline model, are presented. Then, we discuss the maximum likelihoodmethod to estimate model parameters. The importance of thenew generator is illustrated by means of three real data sets. Applicationsshow that the new family of distributions can provide a better fitthan several existing lifetime models.

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