Kumaraswamy Alpha Power Inverted Exponential Distribution: Properties and Applications

Abstract

This study introduced a new distribution from the alpha power inverted exponential family of distributionscalled Kumaraswamy Alpha Power Inverted Exponential distribution (KAPIE). We provide some of the statistical properties of this distribution; such as hazard rate function, quantile function, skewness, kurtosis, and order statistics.The parameters of the distribution are obtained by a method of maximum likelihood approach. The empirical importanceand flexibility of this new distribution in modeling with real-life dataset applications was carefully examined and competes favourably well with other distributions.