The Marshall-Olkin Topp Leone-G family of distributions: A family for generalizing probability models

Abstract

This paper introduced a family of distributions which is flexible and capable of yielding more robust compound probability models when used in modeling real life events. General statistical properties of the family; Marshall-Olkin Topp Leone-G family of distributions were adequately provided. For illustration purpose, the Marshall-Olkin Topp Leone Weibull distribution was applied to three real life data sets and it is undoubtedly better than its competitors; Marshall Olkin Topp Leone Burr XII, Marshall Olkin Topp Leone Lomax, Beta Weibull, Kumaraswamy Weibull (KuWe), Exponentiated Generalized Weibull (EGWe) and Weibull Weibull (WeWe) distributions. Simulation studies were also provided to investigate the behavior of the parameters.

Keywords

• Generalized models
• Topp Leone family of distributions
• Marshall-Olkin family of distributions
• Marshall-Olkin Topp Leone-G family of distributions
• Mathematical statistics
• Simulation