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The Ristić and Balakrishnan Lindley-Poisson distribution: model, theory and application. (English. French summary) Zbl 1409.62044

Summary: A new distribution called Ristić and Balakrishnan-Lindley-Poisson (RB-LP) 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, Rényi 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.

MSC:

62E15 Exact distribution theory in statistics
60E05 Probability distributions: general theory
62G30 Order statistics; empirical distribution functions
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Full Text: Euclid