Alpha Power Inverted Exponential Distribution: Properties and Application

Abstract

In this study, we introduce a new distribution based on the inverted exponential distributioncalled as “Alpha Power Inverted Exponential” distribution. Some of the statistical properties areprovided such as hazard rate function, quantile function, skewness, kurtosis, and order statistics.Model parameters are obtained by the maximum likelihood. We prove empirically importanceand flexibility of the new distribution in modeling with real data applications.