new families of distributions by adding a parameter to a distribution. In this paper,
Marshall-Olkin extended Topp-Leone (MOETL) distribution is introduced. Some
statistical properties of the MOETL are studied. The performance of the maximum
likelihood estimates is investigated by means of a Marckov chain Monte Carlo
(MCMC) simulation study. Model parameters are obtained using maximum
likelihood method of estimation. Life time data analysis is performed to
demonstrate the models applicability and flexibility. Akaike and Bayesian
information criteria (AIC, BIC) illustrate the extended distribution provides better
fit compared to the original distribution.