Extended Exponentiated Inverse Lindley Distribution: Model, Properties and Applications

Document Type : Original Article

Author

Faculty of the Politics and Economics, Department of Statistics, Beni-suef University, Egypt.

Abstract

 In this article, a four-parameter generalization of 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, generating function, stochastic ordering, Renyi entropy, distribution of  Kth order statistics has been derived. The method of maximum likelihood estimation has been used to estimation 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 some existing distributions.

Keywords