Estimation of the Parameters of Generalized Inverse Weibull Geometric Distribution and its Application

Inverse Weibull distribution is one of the distributions having a wide use for modeling system reliability and survival analysis. Recently, some of the researchers have compounded these distributions with some others to improve their models. In this paper, we present the compounded generalized inverse Weibull with geometric distribution. To estimate the parameters, we discuss the maximum likelihood using EM algorithm and Bayesian estimation for compound parameter of distribution. Efficacy of estimators using EM algorithm and minimum distance method is compared using mean square error. Finally, this distribution is fitted to a real dataset.