Arctan exponential extension distribution with properties and applications

Abstract

In the presented work, a continuous distribution named arctan exponential extension distribution has been introduced along with relevant properties which are statistically and mathematically derived and analyzed. While estimating the model parameters, three well-known estimation methods are employed which are Cramer-Von-Mises (CVM), maximum likelihood estimation (MLE) and least-square estimation (LSE) methods. With the help of a real set of data, in comparison to existing models, the presented distribution’s goodness-of-fit is evaluated.