Extended Exponentiated Inverse Lindley Distribution: Model, Properties and Applications | ||
| The Egyptian Statistical Journal | ||
| Article 3, Volume 63, Issue 1, June 2019, Pages 19-38 PDF (556.41 K) | ||
| Document Type: Original Article | ||
| DOI: 10.21608/esju.2019.268726 | ||
| 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 | ||
| Lambert function; maximum likelihood estimation; order statistics; Extended inverse Lindley distribution; stochastic ordering | ||
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