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Research Article Open access CC BY 4.0

The Exponentiated Generalized Lindley Distribution

J. A. Rodrigues, A. C. Percontini, G. G. Hamedani

Asian Research Journal of Mathematics · pp. 1–14 · Published 20 Jul 2017

10.9734/ARJOM/2017/26892

Abstract

A new distribution called the exponentiated generalized Lindley is proposed and studied. This distribution includes as special cases the Lindley and exponentiated Lindley distributions. We study the main properties of this distribution, with special emphasis on its moments and some characteristics related to reliability studies. The estimation of the model parameters using the methods of moments and maximum likelihood is also discussed. The flexibility of this distribution is illustrated via an application to a real data set.

Akaike information criterion characterizations Hazard function lindley distribution maximum likelihood estimators moments

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