Bivariate entropy-transformed Weibull distribution for modelling bivariate system-simulated data from a computer series: Mathematical features and applied results

The bivariate FGM Entropy-Transformed model is a new, flexible family of generalized bivariate distributions based on the FGM copula. The bivariate FGM Entropy-Transformed Weibull model is a new model that we developed based on the FGM copula and Entropy-Transformation. A number of structural statistical properties, such as marginals, conditional distribution, conditional expectation, product moments, moment generating function, reliability function, and hazard rate function, have been inferred from our proposed bivariate family. It is possible to determine the parameters of the model using the maximum likelihood estimation method. Asymptotic confidence intervals are developed as well for the parameter model. We conduct a comprehensive evaluation of the proposed bivariate distribution by performing an extensive Monte Carlo simulation. Finally, the data set analysis demonstrates the practical applicability of the proposed bivariate family.