In this article, a four-parameter generalization of inverse Lindley distribution is obtained, with the purpose of obtaining a more flexible model relative to the behavior of hazard rate functions. Various statistical properties such as density, hazard rate functions, moments, moment generating functions, stochastic ordering, Renyi entropy, distribution of kth order statistics has been derived. The method of maximum likelihood estimation has been used to estimate parameters. Further confidence intervals are also obtained. Finally, applicability of the proposed model to the real data is analyzed. A comparison has also been made with some existing distributions.
Lambert function Maximum likelihood estimation Order statistics Extended inverse Lindley distribution Stochastic ordering
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