Extended Exponentiated Inverse Lindley Distribution: Model, Properties and Applications
(2019). Extended Exponentiated Inverse Lindley Distribution: Model, Properties and Applications. EKB Journal Management System, 63(1), 19-38. doi: 10.21608/esju.2019.268726
. "Extended Exponentiated Inverse Lindley Distribution: Model, Properties and Applications". EKB Journal Management System, 63, 1, 2019, 19-38. doi: 10.21608/esju.2019.268726
(2019). 'Extended Exponentiated Inverse Lindley Distribution: Model, Properties and Applications', EKB Journal Management System, 63(1), pp. 19-38. doi: 10.21608/esju.2019.268726
Extended Exponentiated Inverse Lindley Distribution: Model, Properties and Applications. EKB Journal Management System, 2019; 63(1): 19-38. doi: 10.21608/esju.2019.268726

Extended Exponentiated Inverse Lindley Distribution: Model, Properties and Applications

The Egyptian Statistical Journal
Article 3, Volume 63, Issue 1, June 2019, Page 19-38  XML PDF (556.41 K)
Document Type: Original Article
DOI: 10.21608/esju.2019.268726
View on SCiNiTO View on SCiNiTO
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
Statistics
Article View: 45
PDF Download: 164