Abstract
A new distribution called Ristic and Balakrishnan Lindley-Poisson (RBLP) distribution is introduced and its properties are explored. This new distribution contains several new and well known sub-models, including Lindley-Poisson, RB-Lindley and Lindley distributions. Some statistical properties of the proposed distribution including hazard rate function, moments and conditional moments are presented. Mean deviations, Lorenz and Bonferroni curves, R e nyi entropy and distribution of the order statistics are given. Maximum likelihood estimation technique is used to estimate the model parameters. Finally, application of the model to a real dataset is presented to illustrate the usefulness of the proposed distribution. Keywords: Generalized Distribution; Ristic and Balakrishnan, Gamma Distribution, Lindley Distribution, Maximum Likelihood Estimation AMS 2010 Mathematics Subject Classification: 62E15; Secondary 60E05
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