A New Extension of Inverted Exponential Distribution with Applications

Abstract

This article introduces the MTI inverted exponential distribution (MTIIE), a two-parameter generalization of the inverted exponential distribution, developed using the MTI technique. The MTI technique is named after (Murtiza, Tariq, Ishfaq) who pioneered this approach to enhance the flexibility and applicability of statistical models. The paper explores key properties of the distribution, including moments, the quantile function, the hazard rate, the reliability function, and the moment-generating function. The distribution parameters are estimated using the method of maximum likelihood estimation (MLE). It is applied to two real data sets to demonstrate the practical utility of the new distribution, showcasing its effectiveness in modeling real-world data.