A Novel Generator of Continuous Probability Distributions for the Asymmetric Left-skewed Bimodal Real-life Data with Properties and Copulas

This paper presents a novel two-parameter G family of distributions. Relevant statistical properties such as the ordinary moments, incomplete moments and moment generating function are derived. Using common copulas, some new bivariate type families Special attention is devoted to standard exponential base line model. The density extension can be “asymmetric right skewed shape” with no peak, one “symmetric left peak. hazard rate distribution “increasing”, “U-shape”, “decreasing” “J-shape”. usefulness flexibility illustrated by means two applications real data sets. compared many in modeling relief times survival