Alpha Power Inverted Exponentiated Weibull Distribution with Data Applications

A novel extension of the Inverted Exponentiated Weibull (IEW) distribution is achieved through the utilization of the generator Alpha Power (AP) transformation. The resulting extended distribution is denoted as the Alpha Power Inverted Exponentiated Weibull (APIEW) distribution, which encompasses various sub-models. The statistical characteristics of the newly proposed distribution are established, encompassing the hazard rate function, mean residual life, mean inactivity time, quantile function, moments, Rényi entropy, and order statistics. The unknown parameters of the proposed distribution are estimated via the maximum likelihood estimation technique. Subsequently, two sets of application data are employed to demonstrate the adaptability of the model.