An Extension of the Geometric G Family of Probability Distributions with Statistical Properties, Copulas and Modeling Real-life Data Sets

Abstract

Abstract A novel compounded two-parameters-G family of continuous probability distributions is presented here thanks to this body of work. Calculations are done to determine and examine the pertinent mathematical properties. There is a dedicated focus on the typical reciprocal-Weibull baseline model both mathematically and statistically in one of the special parts. We used the copula method to generate a number of bivariate and multivariate distributions. These new distributions will be useful for modeling bivariate and multivariate data. The new compounded two-parameters-G family's applicability and flexibility are demonstrated by means of three applications to real-world data sets. These examples prove the family's applicability.