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2014 The Beta-Lindley Distribution: Properties and Applications
Faton Merovci, Vikas Kumar Sharma
J. Appl. Math. 2014: 1-10 (2014). DOI: 10.1155/2014/198951


We introduce the new continuous distribution, the so-called beta-Lindley distribution that extends the Lindley distribution. We provide a comprehensive mathematical treatment of this distribution. We derive the moment generating function and the rth moment thus, generalizing some results in the literature. Expressions for the density, moment generating function, and rth moment of the order statistics also are obtained. Further, we also discuss estimation of the unknown model parameters in both classical and Bayesian setup. The usefulness of the new model is illustrated by means of two real data sets. We hope that the new distribution proposed here will serve as an alternative model to other models available in the literature for modelling positive real data in many areas.


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Faton Merovci. Vikas Kumar Sharma. "The Beta-Lindley Distribution: Properties and Applications." J. Appl. Math. 2014 1 - 10, 2014.


Published: 2014
First available in Project Euclid: 2 March 2015

zbMATH: 07131401
MathSciNet: MR3253614
Digital Object Identifier: 10.1155/2014/198951

Rights: Copyright © 2014 Hindawi


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