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Research Article Open access CC BY 4.0

A Lomax-inverse Lindley Distribution: Model, Properties and Applications to Lifetime Data

Terna Godfrey Ieren, Peter Oluwaseun Koleoso, Adana’a Felix Chama, Innocent Boyle Eraikhuemen, Nasiru Yakubu

Journal of Advances in Mathematics and Computer Science · pp. 1–27 · Published 5 Nov 2019

10.9734/jamcs/2019/v34i3-430208

Abstract

This article proposed a new extension of the Inverse Lindley distribution called “Lomax-Inverse Lindley distribution” which is more flexible compared to the Inverse Lindley distribution and other similar models. The paper derives and discusses some Statistical properties of the new distribution which include the limiting behavior, quantile function, reliability functions and distribution of order statistics. The parameters of the new model are estimated by method of maximum likelihood estimation. Conclusively, three lifetime datasets were used to evaluate the usefulness of the proposed model and the results indicate that the proposed extension is more flexible and performs better than the other distributions considered in this study.

Inverse lindley distribution lomax-inverse lindley distribution statistical properties order statistics parameter estimation applications.

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