The Topp-Leone Generalized Inverted Exponential Distribution with Real Data Applications

Entropy (Basel). 2020 Oct 11;22(10):1144. doi: 10.3390/e22101144.


In this article, a new three parameters lifetime model called the Topp-Leone Generalized Inverted Exponential (TLGIE) Distribution is introduced. Various properties of the model are derived, including moments, quantile function, survival function, hazard rate function, mean deviation and mode. The method of maximum likelihood is used to estimate the unknown parameters. The properties of the maximum likelihood estimators using Fisher information matrix are studied. Three real data sets are applied for illustrative purpose of this study.

Keywords: Monte Carlo simulation; Rényi entropy; Topp-Leone distribution; fisher information matrix; generalized inverted exponential; maximum likelihood estimator.