A New Extended Inverse Exponential Distribution with Medical and Engineering Applications

Abstract

A new probability distribution named Truncated Rayleigh Odd Weibull Inverse Exponential distribution that extends the traditional inverse exponential distribution is proposed. The essential statistical properties including moments, quantile function, linear representation, measures of reliability, entropies, and reliability stress strength model are derived. The unknown three parameters are estimated with the method of maximum likelihood and a simulation study is introduced to examine the accuracy of the estimates. Two applications based on real-life datasets - medical and engineering - are considered. Due to its flexible features, the new extended distribution is preferable to number of well-known comparable models.