On the Extended Generalized Inverted Kumaraswamy Distribution

Abstract

In this work, we provide a new generated class of models, namely, the extended generalized inverted Kumaraswamy generated (EGIKw-G) family of distributions. Several structural properties (survival function $\left(\mathrm{sf}\right)$ , hazard rate function $\left(\mathrm{hrf}\right)$ , reverse hazard rate function $\left(\mathrm{rhrf}\right)$ , quantile function $\left(\mathrm{qf}\right)$ and median, $s^{\text{th}}$ raw moment, generating function, mean deviation $\left(\mathrm{md}\right)$ , etc.) are provided. The estimates for parameters of new G class are derived via maximum likelihood estimation $\left(\text{MLE}\right)$ method. The special models of the proposed class are discussed, and particular attention is given to one special model, the extended generalized inverted Kumaraswamy Burr XII (EGIKw-Burr XII) model. Estimators are evaluated via a Monte Carlo simulation $\left(\text{MCS}\right)$ . The superiority of EGIKw-Burr XII model is proved using a lifetime data applications.