Poisson Inverted Lomax Distribution: Properties and Applications

In this paper, we have generated a new distribution by using the Poisson-G family with baseline distribution as inverted Lomax distribution named Poisson inverted Lomax distribution. Some distributional properties of the Poisson inverted Lomax distribution are presented. The model parameters of the proposed distribution are estimated using three well-known estimation methods namely maximum likelihood estimation (MLE), leastsquare estimation (LSE), and Cramer-Von-Mises estimation (CVME) methods. We have calculated the asymptotic confidence intervals based on maximum likelihood estimates. All the computations have been performed in R software. The application of the proposed model has been illustrated considering a real data set and investigated the goodness of fit attained by the observed model via different test statistics and graphical methods. We have found that the proposed distribution provided a better fit and more flexible in comparison with some other lifetime distributions.