A Lomax-inverse Lindley Distribution: Model, Properties and Applications to Lifetime Data
Terna Godfrey Ieren *
Department of Statistics and Operations Research, MAU Tech, P. M. B. 2076, Yola, Nigeria.
Peter Oluwaseun Koleoso
Department of Statistics, University of Ibadan, Ibadan, Oyo State, Nigeria.
Adana’a Felix Chama
Department of Mathematical Sciences, Taraba State University, Jalingo, Nigeria.
Innocent Boyle Eraikhuemen
Department of Mathematics and Computer Science, Benson Idahosa University, Benin City, Nigeria.
Nasiru Yakubu
Department of Statistics and Operations Research, MAU Tech, P. M. B. 2076, Yola, Nigeria.
*Author to whom correspondence should be addressed.
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.
Keywords: Inverse lindley distribution, lomax-inverse lindley distribution, statistical properties, order statistics, parameter estimation, applications.