Marshall-Olkin-Type II-Topp-Leone-G Family of Distributions: Model, Properties and Applications

We develop a new family of distribution called the Marshall-Olkin-Type II-Topp-Leone-G (MO-TII-TL-G) family of distributions, which is a linear combination of the exponential-G family of distributions. The statistical properties of the new distributions are studied and its model parameters are obtainedusing the maximum likelihood method. A simulation study is carried out to determine the performance of the maximum likelihood estimates and lastly real data examples are provided to demonstrate the usefulness of the proposed model in comparison to other models.