Alpha Power Inverted Exponential Distribution: Properties and Application

Abstract

In this study, we propose a new distribution based on the inverted exponential distribution called as “Alpha Power Inverted Exponential” distribution. We provide some of its statistical properties including hazard rate function, quantile function, skewness, kurtosis, and order statistics. The maximum likelihood method is used to estimate the model parameters. We prove empirically the importance and flexibility of the new distribution in modeling with real data applications.