Tangent Topp-Leone Family of Distributions

Abstract

We introduce the tangent Topp-Leone family of distributions in this study and derive some of its statistical properties. Further, we develop five special distributions and a location-scale regression model based on the new proposed tangent Topp-Leone Weibull distribution. Three real datasets are used to demonstrate the usefulness and flexibility of the developed models in comparison with other existing competing models. The study reveals that the proposed tangent Topp-Leone-Weibull perform better than competing models for the given datasets. The proposed log tangent Topp-Leone-Weibull regression model also performs better than competing models for a given dataset.

Keywords

• tangent-G family
• Topp-Leone-G family
• moments
• maximum likelihood estimation
• data
• regression