Abstract
In this article, the discussion has been carried out through the generalization of Inverse Weibull distribution. We introduce a new three parameter life model called the Topp-Leone Inverse Weibull distribution. We provide comperhensive result of the mathematical characteristic, including moments, quantile function, random number generator, survival function, hazard rate function, and mode. Distributional properties of order statistics are analyzed. The parameters of the proposed model are estimated by the method of maximum likelihood. Simulation study is performed to investigate the performance of the maximum likelihood estimators. To assess the flexibility, empirical results of new model are obtained by modeling two real data sets.