Truncated Exponential Topp Leone Exponential Distribution: Properties and Applications

Abstract

Abstract A new flexible compound distribution with three parameters named Truncated Exponential Topp Leone Exponential (TETLE) is introduced as a sub-model of a new generator family named Truncated Exponential Topp Leone-G. Several keys of its statistical properties, order statistics, entropies, reliability analysis, and reliability stress strength model are presented. The maximum likelihood estimation method is implemented to estimate the unknown parameters. Moreover, to assess the flexibility and usefulness, the TETLE distribution applied upon simulation and two real-life data set. The consistent and flexible performance of the maximum likelihood estimates is clearly appeared by the simulation results and the results of the real application clearly shown that the proposed distribution has superior output relative to other considered distributions for all information criteria.