Properties and Applications of Truncated Exponential Marshall Olkin Weibull Distribution

Abstract

A new flexible compound distribution with four parameters called Truncated Exponential Marshall Olkin Weibull (TEMOW) is proposed as a sub-model of a new generator of continuous distributions named Truncated Exponential Marshall Olkin-G family. Reliability characteristics with several main statistical properties are presented. The maximum likelihood estimation method is adopted to estimate the unknown parameters. Furthermore, to assess the usefulness and flexibility, the TEMOW distribution applied upon simulation study besides real application with two real data set. The simulation results clearly shown the flexible performance of the maximum likelihood estimators for the parameters. Also, the real application results clearly shown that the proposed distribution has outstanding performance than other considered distributions for all information criteria.