Characterization and Estimation of Generalized Inverse Power Lindley Distribution

Abstract

One of the most important branch of statistics is survival and reliability analysis. There are various lifetime models available in literature that have applications in these fields. However the researchers always keep searching for more flexible models that are effective in more complex situations. With the same motivation, an effort has been made to introduce a new distribution named as Generalized Inverse Power Lindley distribution that is expected to turnout more constructive while dealing with complex real life data. Various statistical properties of the model have been derived. The parameter estimates are obatined using Maximum Likelihood Estimation (MLE) technique. Simulation study has been conducted to assess the performance of maximum likleihood estimators. Applicability of the proposed model to the real data has been investigated by comparing the model with some existing distributions.

Marshall-Olkin Alpha Power Inverse Lindley Distribution and its Applications

“…Various authors including Sharma et al (2016), Eltehiwy (2018), Dey et al (2018), Jan et al (2019) have extended ILD using different approaches. In this article, a new distribution is obtained by substituting ( 7) and ( 8) in ( 5) and ( 6) respectively.…”